the altitude of a triangle is increasing at a rate of 2cm/min while the area of the triangle is increasing at a rate of 3cm^2/min. at what rate is the base changing when the altitude is 7.5 and the area is 94 sq cm

the altitude of a triangle is increasing at a rate of 2cm/min while the area of the triangle is increasing at a rate of 3cm^2/min. at what rate is the base changing when the altitude is 7.5 and the area is 94 sq cm

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter19: Achievement Review—section One

Section: Chapter Questions

Problem 31AR: A shaft is turned in a lathe at 120 revolutions per minute. The cutting tool advances 0.030 inch per...

See similar textbooks

Related questions

Q: Find the indicated partial derivatives. f(x, y) = 5xy⁹+ x5y6; fxxy(x, y) fyyy(x, y) = fxxyı fyyy

A: given function

Q: Find the solution of the differential equation y" +9y' + 20y = 0 = satisfying the initial conditions…

Q: Suppose that the piecewise defined function f is defined by 1-4x, 1(z) - {27 +27 f(x) 2x²+2x19,…

A: This is question of continuity and limits Here piecewise function is given We have to find given…

Q: 5л Find the secant (if it exists) of the angle = 4

A: The aim is to find the value for

Q: If a snowball melts so that its surface area

Q: The area of a circle is (3.853x10^1) in². What is this area in km²? Express your answer to the…

A: Area of Circle = in2To convert inches(in) to kilometer(km)Step 1: Convert in to meter(m)Step 2 :…

Q: 29. Evaluate these questions involving asymptotes. a. b. Find the horizontal and vertical asymptotes…

A: Vertical asymptotes occur whendenominator is 0. , Equation of vertical asymptotes Degree of…

Q: Question 2: Write equations for each hyperbola (If you have a hard time seeing the picture clearly,…

A: The standard form of the hyperbola is given by,As we can see from the graph, the center of the…

Q: The time required for an elevator to lift a weight varies directly with the weight and the…

A: The time required for an elevator to lift a weight varies directly with the weight and the…

Q: . lim 8118 2x³ √√x+4x7-2x²-1 V

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

Q: Consider the following function. f(x) = (x - 2)², x ≥ 2 Find the inverse function f-1. f-¹(x) =…

Q: Use limx→a at x = 2. 0-1 O O O 13 12 f(x)-f(a) x-a to find the instantaneous rate of change of the…

Q: Use a graphing utility to graph the function. f(1) = /81.rº – 147 or + 9 10- 5- -15 -10 -5 5 10 15…

Q: Express the improper integral as appropriate limits. foxe -x² dx Xe b ° - [/--) (- - -) lim -x2 xe…

A: The given integral is

Q: functions that satisfy g(x) ≤ f(x) ≤ h(x) for -2 ≤ x ≤ 2, find the limx→1 f(x). 13 210 O-3 O 0 O…

Q: Let f(x) = 4x² - 1. Calculate the arc length of the graph of f(x) over the interval [0, 4]. Round t…

A: The given function is The arc length of a curve y=f(x) over the interval is

Q: The profit, in dollars, of producing and selling x action figures is given. P(x) = -x² + 80x - 470…

Q: A light source is located over the center of a circular table of diameter d = 8 feet (see figure).…

A: The given figure

Q: Differentiate the function.

Q: Practice 6: Use forced factorization to find the following limit. lim Practice 7: X+2 √9x¹² +1 2- X…

A: The given limit

Q: (a) F10 where A = where B = where C = where D = de (x - A)² B² (y-C)² D² = 1

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Below is the velocity function, in feet per second, for a particle moving along a straight line.…

Q: The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in…

Q: 1: The graph of the function f(x) =tan x -2T -3TT/2 -TT -TT/2 10 5 0 -5 -10 TT/2 is given below. TT…

A: The given function is The condition of existence of limit at is

Q: Find all the values of a such that the given series would converge. 8(x) (n + 1) (n + 11) The series…

Q: at noon, ship A is 20mi west of ship B. ship A is sailing 18mph west and ship B is sailing north at…

A: Ship A is 20mi west of ship BSpeed of the ship A is 18 mph (West)Speed of the ship B 20 mph (North)

Q: Find the volume of a right circular cone with height 21 and a base with radius 7. A. What is the…

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three…

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

Q: Find each of the following. Hint: You need to find the formula for Q'(x) first, then evaluate Q'(x)…

Q: Select EACH limit that allows L'Hopital's rule. Does not matter what the limit equals. Just want to…

A: we can apply L'hopitals rule to a limit if the limiting value is of the indeterminate form For any…

Q: 2. Where does the line z = 2-t, y = 3t, z = -1 + 2t intersect with the plane 2y + 3z = 6.

Q: A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a…

Q: 9. Three times the first of three consecutive odd integers is three more than twice the…

A: It is given that "Three times the first of three consecutive odd integers is three more than…

Q: Evaluate each limit analytically. - (a) lim sin(x + h) – sin(x) h→0 h (b) lim h→0 (c) (d) lim h→0…

Q: Find the differential of the function. dw = W = 5xyexz dx + ) dy + ( [ dz

Q: Without a calculator, sketch a possible graph of the function from question #3 (also shown belo 24+5…

A: The given equation is

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

Q: We will find the third-order Taylor polynomial about x = (a) Enter the first derivative f'(x) (b)…

Q: Find the derivative of y = (3x4 - 7x + 2)g(x).

Q: Apply L'hopitals rule to evaluate the limit. Select the appropriate set of steps. lim x+2 x²+x-6…

Q: If P (X1, y₁) and Q (X2, y2) are two points on the graph of y = f(x), then the slope of the secant…

Q: sinx Evaluate lim- x 0+x Evaluate lim x-0 Evaluate lim 10+x Evaluate lim 0+x 3x - sinx and enter…

Q: Practice 1: Evaluate the following limits. a) lim 5x²-3x² +7x 2-40 11x² + 4x² 1-8 1-2 31²-5t-2 b)…

Q: Use integration by parts to evaluate the integral: 1 cos (ln(8x)) dx

A: Substitute, ..............Put it back in equation 1

Q: 7. A thermometer reading 75°F is taken out where the temperature is 20 °F. The reading is 30 °F…

Q: On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation…

Q: The length and width of a rectangle are measured as 31 cm and 56 cm, respectively, with an error in…

A: Let length of the rectangle denotes by x Let width of the rectangle denotes by y As we know that…

Q: the area of the surface given by z = f(x,y) that lies above the region R. f(x, y) =…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information about question

VIEW

Step 2: find base changing rate

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The altitude of a triangle is increasing at a rate of 1.5cm/min while the area of the triangle is increasing at a rate of 3.5cm^2/min. At what rate is the base of the triangle changing when the altitude is 7cm and the area is 87 square centermeters ?
A rectangular photograph measuring 77 cm by 66 cm is to be displayed in a card mount in a rectangular frame as shown below, with a border of constant width x cm. The owner wants the area of the mount (including the photo) to be 73cm^2. Find the width x of the border.The border should be ... cm wide (round your answer to three decimal places).
The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the triangle is increasing at a rate of 11 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 9.59.5 centimeters and the area is 9393 square centimeters?
The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of the triangle is increasing at a rate of 11 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7.57.5 centimeters and the area is 8888 square centimeters? cm/min
The light intensity, I , of a light bulb varies inversely as the square of the distance from the bulb. A a distance of 3 meters from the bulb, I = 1.5 W/m^2 . What is the light intensity at a distance of 2 meters from the bulb?
The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 50 mph exerts a force of 50 lbs on a surface of 1/2ft^2, how much force will a wind of 150 mph place on a surface of 3ft^2?
Each side of a square increasing at a rate of 6 cm/s . At what rate is the area of the square increasing when the area of the square is 36cm^2? ___ cm^2/s .
The quantity of water discharged over a rectangular weir is directly proportional to the crest length and three-halves the power of the head (height of water above the crest). If the rate of discharge over a weir having a crest length of 3 m and a head of 0.70 m is 3.23 m^3/sec, find the rate of discharge over a weir having a crest length of 6 m and a head of 1.40 m.
The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the triangle is increasing at a rate of 55 square centimeters/minute.At what rate is the base of the triangle changing when the altitude is 99 centimeters and the area is 9292 square centimeters?
The pressure, P (in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area, A(in in^2) of the sole of the shoe. When the shoes have a sole area of 40 in^2, the pressure is 4 lbs/in^2. Find an equation that relates these variables.
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2cm^2/min. At what rate is the base of the triangle changing wen the altitude is 10 cm and the area is 100 cm^2?
During the construction of an office building, a hammer is accidentally dropped from a height of 1024ft. The distance (in feet) the hammer falls in t sec is s= 16t^2. What is the hammer's velocity when it strikes the ground? ft/sec what is its acceleration? ft/sec^2