Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 12.2, Problem 41E
In a plant, an inside walkway is being laid out to go from one corner of the building along the perimeter to the opposite corner, where the offices are located. If the building is 80.0 ft
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Determine which differential equation
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Dear expert Chatgpt gives wrong answer
Plz don't use chat gpt
An improved method that is similar to Euler's method is what is usually called the Improved
Euler's method. It works like this:
Consider an equation y' = f(x, y). From (xn, Yn), our approximation to the solution of the
differential equation at the n-th stage, we find the next stage by computing the x-step
Xn+1 = xn +h, and then k1, the slope at (xn, Yn). The predicted new value of the solution
.
İs Zn+1 = Yn + h · k₁. Then we find the slope at the predicted new point
k₁ = f(xn+1, Zn+1) and get the corrected point by averaging slopes
h
Yn+1 = = Yn +
1½ ½
(k1 + k₂).
Suppose that we use the Improved Euler's method to approximate the solution to the
differential equation
dy
dx
= x - 0.5y,
y(0.5) = 9.
We let xo =
0.5 and yo 9 and pick a step size h = 0.25.
Complete the following table:
n xn Yn k1 Zn+1 k₂
0 0.59-48
-3.25
♡
<+
help (numbers)
The exact solution can also be found for the linear equation. Write the answer as a function
of x.
y(x) =
=
help (formulas)
Thus the actual value of the…
Chapter 12 Solutions
Elementary Technical Mathematics
Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - Classify each angle as right, acute, or obtuse:Ch. 12.1 - In Illustration 1, line l intersects line m and...Ch. 12.1 - Suppose l||m and t l. Is t m? Why or why not?
Ch. 12.1 - In Illustration 2, a. name the pairs of adjacent...Ch. 12.1 - In Illustration 2, suppose 3=40 and 7=97. Find the...Ch. 12.1 - In Illustration 3, suppose lm and 1=57. What are...Ch. 12.1 - In Illustration 4, suppose ab,ac, and 1=37. Find...Ch. 12.1 - In Illustration 5, suppose AOB is a straight line...Ch. 12.1 - Suppose angles 1 and 2 are supplementary and 1=63....Ch. 12.1 - Suppose angles 3 and 4 are complementary and 3=38....Ch. 12.1 - In Illustration 6, suppose lm, AOB is a straight...Ch. 12.1 - In Illustration 7, suppose ab,tx, 3=38, and /1 5...Ch. 12.1 - Suppose angles 1 and 2 are complementary and 1=2....Ch. 12.1 - In Illustration 8, suppose 1 and 3 are...Ch. 12.1 - In Illustration 9, suppose lm, 1=3x50 and 2=x+60....Ch. 12.1 - In Illustration 9, suppose lm, 1=4x+55 and...Ch. 12.1 - In Illustration 9, suppose lm, 1=8x+60 and...Ch. 12.1 - A plumber wishes to add a pipe parallel to an...Ch. 12.1 - A machinist needs to weld a piece of iron parallel...Ch. 12.1 - In Illustration 12, find angle z if m||n....Ch. 12.1 - Given ABCD in Illustration 13, find the measure of...Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.1 - Name each polygon:Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Find the perimeter and the area of each...Ch. 12.2 - Prob. 11ECh. 12.2 - In Exercises 11-12, use the formula A=bh. A=792m2,...Ch. 12.2 - The area of a parallelogram is 486 ft2. The length...Ch. 12.2 - The area of a rectangle is 280 cm2. Its width is...Ch. 12.2 - A piece of 16-gauge steel has been cut into the...Ch. 12.2 - Looking at the side of a welded metal storage bin,...Ch. 12.2 - On a sectional chart used for aviation navigation,...Ch. 12.2 - A pilot flies from an airport to a VOR (Very high...Ch. 12.2 - A rectangular metal duct has a width of 8.0 in. If...Ch. 12.2 - A rectangular X-ray film measures 15 cm by 32 cm....Ch. 12.2 - Each hospital bed and its accessories use 96 ft2...Ch. 12.2 - A respirator unit needs a rectangular floor space...Ch. 12.2 - A 108-ft2 roll of fiberglass is 36 in. wide. What...Ch. 12.2 - The cost of the fiberglass in Exercise 23 is...Ch. 12.2 - How many pieces of fiberglass, 36 in. wide and 72...Ch. 12.2 - A business owner plans to build a storage garage...Ch. 12.2 - The rear view mirror of an automobile measures 2.9...Ch. 12.2 - A machinist plans to build a screen around his...Ch. 12.2 - A piece of sheet metal in the shape of a...Ch. 12.2 - A rectangular piece of sheet metal has an area of...Ch. 12.2 - What is the acreage of a ranch that is a square,...Ch. 12.2 - A rectangular field of corn is averaging 115...Ch. 12.2 - Find the amount of sheathing needed for the roof...Ch. 12.2 - A ceiling is 12 ft by 15 ft. How many 1-ft by 3-ft...Ch. 12.2 - The Smith family plan to paint the exterior of...Ch. 12.2 - An 8-in.-thick wall uses 15 standard bricks (8 in....Ch. 12.2 - What is the display floor space of a...Ch. 12.2 - Canvas that costs 34/in2 is used to make golf...Ch. 12.2 - By law, all businesses outside the Parkville city...Ch. 12.2 - Find the area of the three trapezoid-shaped...Ch. 12.2 - In a plant, an inside walkway is being laid out to...Ch. 12.2 - Prob. 42ECh. 12.2 - In the mid-20th century, engineers constructed a...Ch. 12.2 - A game preserve manager fences off a pasture...Ch. 12.2 - A plot of land in the shape of a parallelogram...Ch. 12.2 - A rectangular lot is 155 ft 175 ft. The house,...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the braces needed for the...Ch. 12.3 - Find the center-to-center distance between the two...Ch. 12.3 - Find the total length of brace material needed in...Ch. 12.3 - Often, a machinist must cut a keyway in a shaft....Ch. 12.3 - A piece of 4.00-in.-diameter round stock is to be...Ch. 12.3 - Find the length of the rafter in Illustration 6....Ch. 12.3 - Find the offset distance x (rounded to nearest...Ch. 12.3 - A conduit is run in a building (see Illustration...Ch. 12.3 - The voltage across a resistance is 85.2 V. The...Ch. 12.3 - The voltage across a coil is 362 V. The voltage...Ch. 12.3 - The resistor current is 24 A. The total current is...Ch. 12.3 - The resistor current is 50.2 A. The coil current...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - In Exercises 2527, see Illustration 11. Find the...Ch. 12.3 - The base of a window is 7.2 m above the ground....Ch. 12.3 - Find the area and perimeter of each isosceles...Ch. 12.3 - Find the area and perimeter of each isosceles...Ch. 12.3 - Find the area and perimeter of an equilateral...Ch. 12.3 - Find the area and perimeter of an equilateral...Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Find the area and perimeter of each triangle:Ch. 12.3 - Two pieces of steel angle are welded to form right...Ch. 12.3 - A triangular gusset (a triangular metal bracket to...Ch. 12.3 - A helicopter is 62.0 mi due north of a VOR (Very...Ch. 12.3 - An unusual architectural design requires...Ch. 12.3 - A steel plate is punched with a triangular hole as...Ch. 12.3 - A square hole is cut from the equilateral triangle...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - Find the measure of the missing angle in each...Ch. 12.3 - In a shaded corner outside of a manufacturing...Ch. 12.3 - A helicopter is at a position from two VORs as in...Ch. 12.3 - Slope may be defined as the steepness of an area...Ch. 12.3 - Starting at point A, a hiker walks due south for...Ch. 12.3 - When measuring land in odd-shaped lots, we often...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Find the lengths of AO and CD in Illustration 3....Ch. 12.4 - InIllustration4, quadrilaterals ABCD and XYZW are...Ch. 12.4 - An inclined ramp is to be built so that it reaches...Ch. 12.4 - Prob. 7ECh. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Prob. 10ECh. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - Follow the rules for working with measurements...Ch. 12.4 - The side mirror of a small pickup truck is similar...Ch. 12.4 - A small heater has a rectangular filter that is 16...Ch. 12.4 - A polygon cross-sectional duct is to be exposed...Ch. 12.4 - A 6.00-ft by 8.00-ft bookcase is to be built. It...Ch. 12.4 - A vertical tower 132.0 ft high is anchored to the...Ch. 12.4 - Illustration 12 shows the master mold for a...Ch. 12.4 - A team of rock climbers needs to estimate the...Ch. 12.4 - A cat owner has a scratching post that is shaped...Ch. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Prob. 3ECh. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Prob. 5ECh. 12.5 - Find the rules for working with measurements. Find...Ch. 12.5 - Find the measure of each unknown angle:Ch. 12.5 - Find the measure of each unknown angle:Ch. 12.5 - Prob. 9ECh. 12.5 - A round plate 12 in. in diameter is to have 10...Ch. 12.5 - The area of a circle is 28.2 cm2. Find its radius.Ch. 12.5 - The area of a circle is 214 ft2. Find its radius.Ch. 12.5 - The circumference of a circle is 62.9 m. Find its...Ch. 12.5 - The circumference of a circle is 17.2 in. Find its...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - A welded circular metal tank has radius 24.0 in. A...Ch. 12.5 - A circular hole is to be made in the side of a...Ch. 12.5 - Prob. 19ECh. 12.5 - The side view of a tire resembles a doughnut. If...Ch. 12.5 - If the rim diameter of a wheel of a vehicle is...Ch. 12.5 - Round metal duct has a cross-sectional area of 113...Ch. 12.5 - A wheel of radius 1.80 ft is used to measure a...Ch. 12.5 - Find the length of the diameter of a circular silo...Ch. 12.5 - A rectangular piece of insulation is to be wrapped...Ch. 12.5 - How many 1.5-in.-diameter pipes will be needed to...Ch. 12.5 - A manifold is being designed to carry compressed...Ch. 12.5 - A pipe has a 3.50-in. outside diameter and a...Ch. 12.5 - In Illustration 5, find the area of the...Ch. 12.5 - Find the area and perimeter of the figure in...Ch. 12.5 - Find the length of strapping needed for the pipe...Ch. 12.5 - In a design for a workstation, in Illustration 8,...Ch. 12.5 - A boiler 5.00 ft in diameter is to be placed in a...Ch. 12.5 - A pulley is connected to a spindle of a wheel by a...Ch. 12.5 - Mary needs to punch 5 equally spaced holes in a...Ch. 12.5 - In Illustration 12, a. find the measure of 1,...Ch. 12.5 - Find the measure of 1 in Illustration 13....Ch. 12.5 - In Illustration 13, the length of AC is 5 and the...Ch. 12.5 - Illustration 14 shows a satellite at position P...Ch. 12.5 - In Illustration 15, CP = 12.2 m and PB = 10.8 m....Ch. 12.5 - Prob. 41ECh. 12.5 - Exercises 4144 refer to Illustration 16. AB and AC...Ch. 12.5 - Exercises 4144 refer to Illustration 16. AB and AC...Ch. 12.5 - Prob. 44ECh. 12.5 - Prob. 45ECh. 12.5 - Prob. 46ECh. 12.5 - Prob. 47ECh. 12.5 - Prob. 48ECh. 12.5 - Windmills are used to generate electricity. The...Ch. 12.5 - Prob. 51ECh. 12.5 - A restaurant uses 9.00-in. (diameter) banquet...Ch. 12.5 - Prob. 53ECh. 12.5 - Prob. 54ECh. 12.5 - Prob. 55ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 3ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 5ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 7ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 9ECh. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Prob. 13ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 15ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 17ECh. 12.6 - Prob. 18ECh. 12.6 - Prob. 19ECh. 12.6 - Prob. 20ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Prob. 23ECh. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - A pulley is turning at an angular velocity of 10.0...Ch. 12.6 - Prob. 26ECh. 12.6 - The radius of a gear is 22.0 cm. It turns through...Ch. 12.6 - A wheel of diameter 6.00 m travels a distance of...Ch. 12.6 - A wheel of diameter 15.2 cm turns through an angle...Ch. 12.6 - In Illustration 1, find a. the length of arc s b....Ch. 12.6 - In Illustration 2, find a. the length of arc s b....Ch. 12.6 - Given two concentric circles (circles with the...Ch. 12.6 - A round pizza, with a 12.0-in. diameter, is cut...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: In...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: An...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. If...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 18ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 21ECh. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Prob. 26ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Prob. 28ECh. 12.8 - Prob. 29ECh. 12.8 - Prob. 30ECh. 12.8 - Prob. 31ECh. 12.8 - Prob. 32ECh. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Prob. 7ECh. 12.9 - Prob. 8ECh. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - A loading chute in a flour mill goes directly into...Ch. 12.9 - The circular tank in Illustration 2 is made of 12...Ch. 12.9 - The nose of an airplane has a right circular cone...Ch. 12.9 - Prob. 16ECh. 12.9 - Gravel is piled in the shape of a cone. The...Ch. 12.9 - Find the weight of the display model shown in...Ch. 12.9 - Prob. 19ECh. 12.9 - Find the volume and lateral surface area of the...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - A hopper must be designed to contain plastic resin...Ch. 12.9 - A piece of 1-in. (diameter) round stock is tapered...Ch. 12.9 - A welder is assigned to fabricate luggage storage...Ch. 12.9 - Prob. 26ECh. 12.9 - A lamp manufacturer decides to offset various...Ch. 12.9 - Prob. 28ECh. 12.9 - Prob. 29ECh. 12.9 - The artist in Exercise 28 wishes to pour a second...Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - Follow the rules for working with measurements....Ch. 12.10 - A balloon 30.1 m in radius is to be filled with...Ch. 12.10 - An experimental balloon is to have a diameter of...Ch. 12.10 - A welder has a large pan with the shape of a hemi-...Ch. 12.10 - An experimental aircraft has a Plexiglas covering...Ch. 12.10 - A cooling water tower is in need of a larger ball...Ch. 12.10 - A shift lever ball has diameter 2.125 in. What is...Ch. 12.10 - How many gallons of water can be stored in the...Ch. 12.10 - A city drains 150,000 gal of water from a full...Ch. 12.10 - A spherical tank for liquefied petroleum is 16.0...Ch. 12.10 - Find the volume of the cylindrical silo with a...Ch. 12.10 - You are designing a dome house in the shape of a...Ch. 12.10 - A canister of coolant used to charge an air...Ch. 12.10 - A meteorologist needs to launch a weather balloon...Ch. 12.10 - A park ranger orders a hot air balloon to use for...Ch. 12 - Classify each angle as right, acute, or obtuse:Ch. 12 - Classify each angle as right, acute, or obtuse:Ch. 12 - Prob. 3RCh. 12 - For Exercises 35, see Illustration 1: ILLUSTRATION...Ch. 12 - Prob. 5RCh. 12 - Name the polygon that has a. 4 sides, b. 5 sides,...Ch. 12 - Prob. 7RCh. 12 - Find the perimeter and the area of each...Ch. 12 - Prob. 9RCh. 12 - The area of a rectangle is 79.6 m2. The length is...Ch. 12 - Prob. 11RCh. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Prob. 15RCh. 12 - Prob. 16RCh. 12 - Find the measure of the missing angle in...Ch. 12 - Prob. 18RCh. 12 - Find the area and circumference of the circle in...Ch. 12 - The area of a circle is 462 cm2. Find its radius.Ch. 12 - How many degrees are in a central angle whose arc...Ch. 12 - Change 24.0 to radians.Ch. 12 - Change 18 rad to degrees.Ch. 12 - The radius of a wheel is 75.3 cm. The wheel turns...Ch. 12 - A wheel of diameter 25.8 cm travels a distance of...Ch. 12 - A wheel of radius 16.2 cm turns an angle of 1028....Ch. 12 - Prob. 27RCh. 12 - Prob. 28RCh. 12 - Prob. 29RCh. 12 - Prob. 30RCh. 12 - Prob. 31RCh. 12 - Prob. 32RCh. 12 - Prob. 33RCh. 12 - Prob. 34RCh. 12 - Prob. 35RCh. 12 - Prob. 36RCh. 12 - Find the area of a rectangle 18.0 ft long and 6.00...Ch. 12 - Find the perimeter of a square log 160 m on a...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Find the length of a side a in Illustration 2....Ch. 12 - Given a circle of radius 20.0 cm, find its areaCh. 12 - Prob. 7TCh. 12 - Prob. 8TCh. 12 - Prob. 9TCh. 12 - Find the volume of a rectangular box 12.0 ft 8.00...Ch. 12 - Prob. 11TCh. 12 - Find the volume of a cylindrical tank 20.0 m in...Ch. 12 - Find a. the volume and b. the lateral surface area...Ch. 12 - Find the volume of the frustum of the cone in...Ch. 12 - A welder is assigned to fabricate the sheet metal...Ch. 12 - Add: 8+(+7)+(3)Ch. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Find the product: (2x2+7x3)(4x+5)Ch. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - A 200-bu wagon holds 3.4 tons of grain. Express...Ch. 12 - A 160-lb object, 28.0 in. from the fulcrum of a...Ch. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Solve: 5xy=12y=2xCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Find the perimeter and area of each triangle:Ch. 12 - Prob. 27CRCh. 12 - Find the area and the circumference of the circle...Ch. 12 - The area of a circle is 168cm2. Find its radius.Ch. 12 - Find the volume and total surface area of the...
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- Already got wrong Chatgpt answer If ur also Chatgpt user leave itarrow_forwardThe graph of the function f(x) is 1,0 (the horizontal axis is x.) Consider the differential equation x' = f(x). List the constant (or equilibrium) solutions to this differential equation in increasing order and indicate whether or not these equalibria are stable, semi-stable (stable from one side, unstable from the other), or unstable. x = help (numbers) x = help (numbers) x = help (numbers) x = help (numbers) Book: Section 1.6 of Notes on Diffy Qsarrow_forward= A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 60 cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. Determine the spring constant k. k = Newtons/meter help (numbers) Hint is to use earth gravity of 9.8 meters per second squared, and note that Newton is kg meter per second squared. Formulate the initial value problem for x(t), where x(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. Give your answer in terms of x, x',x",t. Differential equation: | help (equations) Initial conditions: x (0) = and '(0) = help (numbers) Solve the initial value problem for x(t). x(t) = ☐ help (formulas) Plot the solution and determine the maximum displacement from equilibrium made by the object on the…arrow_forward
- Suppose f(x) is a continuous function that is zero when x is −1, 3, or 6 and nowhere else. Suppose we tested the function at a few points and found that ƒ(−2) 0, and f(7) < 0. Let x(t) be the solution to x' f(x) and x(0) = 1. Compute: lim x(t) help (numbers) t→∞ Book: Section 1.6 of Notes on Diffy Qsarrow_forwardConsider the initial value problem У y' = sin(x) + y(-4) = 5 4 Use Euler's Method with five steps to approximate y(-2) to at least two decimal places (but do not round intermediate results). y(-2) ≈ help (numbers) Book: Section 1.7 of Notes on Diffy Qsarrow_forwardConsider the differential equation y' = 5y with initial condition y(0) : The actual solution is y(1) = 207.78 help (numbers) = 1.4. We wish to analyze what happens to the error when estimating y(1) via Euler's method. Start with step size h = 1 (1 step). Compute y(1) Error 8.4 help (numbers) 199.38 help (numbers) Note: Remember that the error is the absolute value! Let us half the step size to h = 0.5 (2 steps). Compute y(1) ≈ 17.15 help (numbers) Error = 190.63 help (numbers) The error went down by the factor: Error Previous error Let us half the step size to h = 0.25 (4 steps). Compute y(1) 35.88046875 help (numbers) Error = 171.90 help (numbers) help (numbers) The error went down by the factor: Error Previous error help (numbers) Euler's method is a first order method so we expect the error to go down by a factor of 0.5 each halving. Of course, that's only very approximate, so the numbers you get above are not exactly 0.5. Book: Section 1.7 of Notes on Diffy Qsarrow_forward
- Answer all the boxes and box the answers. Thank you write it downarrow_forwardChatgpt means downvote Because Chatgpt gives wrong answerarrow_forwardOne bulb manufacturer claims an average bulb life of 1,600 hours. It is suspected that the actual average is significantly lower. To verify this, a sample of 49 bulbs is selected and the life of each bulb is measured. A sample mean of 1,500 hours and a standard deviation of 120 hours were obtained from them. Can you be sure, at 5% significance, that the mean life is less than what the manufacturer claims?arrow_forward
- The specification calls for the dimension of a certain mechanical part to be 0.55 inches. A random sample of 35 parts taken from a large batch showed a mean 0.54 in. with a deviation of 0.05 in. Can it be concluded, at 1% significance, that the batch of parts meets the required specification?arrow_forwardLet = , -2 X(t) = [ 6° 2t e -3e -2t X(t)= 2e-2t -6e- -2t 9]. Verify that the matrix ✗(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C. C = help (matrices) The determinant of the matrix C is help (numbers) which is Choose . Therefore, the matrix ✗(t) is Choose Book: Section 3.3 of Notes on Diffy Qsarrow_forwardA manufacturer produces a wire rope of a certain type, which has a breaking strength of not more than 300 kg. A new and cheaper process is discovered which is desired to be employed, provided that the wire rope thus produced has an average breaking strength greater than 300 kg. If a random sample of 26 wires produced with the new process has given a mean of 304.5 kg and a standard deviation of 15 kg, should the manufacturer adopt the new process?arrow_forward
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