Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
12th Edition
ISBN: 9781337890199
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 12, Problem 35R
To determine
To calculate: The volume and lateral surface area of the frustum of the cone as shown in the below figure:
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Chapter 12 Solutions
Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
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 - A rectangular lot is 155 ft 175 ft. The house,...Ch. 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. 12.3 - 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. 12.3 - A local manufacturer keeps cows on site to eat the...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. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Prob. 23ECh. 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 - 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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- Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 0. What level of type II error would you recommend here? = Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05. β = 0.0594 What sample size would be required? Assume the sample sizes are to be…arrow_forward(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.arrow_forward(14 points) Let f: R3 R and T: R3. →R³ be defined by f(x, y, z) = ln(x²+ y²+2²), T(p, 0,4)=(psin cos 0, psin sin, pcos). (a) (4 points) Write out the composition g(p, 0, 4) = (foT)(p,, ) explicitly. Then calculate the gradient Vg directly, i.e. without using the chain rule. (b) (4 points) Calculate the gradient Vf(x, y, z) where (x, y, z) = T(p, 0,4). (c) (6 points) Calculate the derivative matrix DT(p, 0, p). Then use the Chain Rule to calculate Vg(r,0,4).arrow_forward
- (10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) = (x, y, z). Calculate the surface integral J F F-dS. Sarrow_forwardSuppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6. a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) Lower Limit Upper Limitarrow_forward(8 points) Calculate the following line integrals. (a) (4 points) F Fds where F(x, y, z) = (x, y, xy) and c(t) = (cost, sint, t), tЄ [0,π] . (b) (4 points) F. Fds where F(x, y, z) = (√xy, e³, xz) where c(t) = (t², t², t), t = [0, 1] .arrow_forward
- review help please and thank you!arrow_forwardYou recieve a case of fresh Michigan cherries that weighs 8.2 kg. You will be making cherry pies. Each pie will require 1 3/4 pounds of pitted cherries. How many pies can be made from the case if the yield percent for cherries is 87arrow_forward(10 points) Let S be the surface that is part of the sphere x² + y²+z² = 4 lying below the plane 2√3 and above the plane z-v -√3. Calculate the surface area of S.arrow_forward
- (8 points) Let D = {(x, y) | 0 ≤ x² + y² ≤4}. Calculate == (x² + y²)³/2dA by making a change of variables to polar coordinates, i.e. x=rcos 0, y = r sin 0.arrow_forwardx² - y² (10 points) Let f(x,y): = (a) (6 points) For each vector u = (1, 2), calculate the directional derivative Duƒ(1,1). (b) (4 points) Determine all unit vectors u for which Duf(1, 1) = 0.arrow_forwardConsider the hypothesis test Ho: 0 s² = = 4.5; s² = 2.3. Use a = 0.01. = σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ = 20 and 2 = 8, and that (a) Test the hypothesis. Round your answers to two decimal places (e.g. 98.76). The test statistic is fo = 1.96 The critical value is f = 6.18 Conclusion: fail to reject the null hypothesis at a = 0.01. (b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis: (Round your answer to two decimal places (e.g. 98.76).) 035arrow_forward
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