The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. When the length is 13 cm and the width is 5 cm, how fast is the area of the rectangle increasing? 135 x cm/s Need Help? Wach Master

The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. When the length is 13 cm and the width is 5 cm, how fast is the area of the rectangle increasing? 135 x cm/s Need Help? Wach Master

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

See similar textbooks

Related questions

Q: - Find the Laplace transform of each of the following function A f(t) =

Q: Find the volume of the solid found by rotating the region y = Va from :-1. You may use either the sh...

Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 4 + x + 2y above ...

Q: Find the equation of the tangent line to the curve of f(x) = x3 - 4x + 5 at the point (2, 5). O a. y...

Q: 4. f(t) = t5 e(1-t)

A: Given; ft=t5e1-t As we know from the properties of Laplace transform; 1). La·ft=a·Lft 2). Ltnft=-1nd...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P.(x) =

Q: sec2 2X ton 2x ok At ton ?2x

A: Find the integral

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket ...

A: Find your answer below

Q: The function f is graphed below. State the values that fulfill the following requirements. If there ...

A: f'(x) is undefinedat x= DNEcritical value of f(x)where f'(x)=0 of undefinedf'(x)=0, at x=-2, -1, 0, ...

Q: If f(x) = 6*2X, then f"(x) = %3D %3D Select one: a. 6*2% (In (2))2 O b. 36 *2% (In (2))2 O c. 6* 4x ...

Q: Qeustion 2 The Bessel function of order 0, y= J(x), satisfies the differential equation xy" + y' + x...

A: 1) Here, given that J(x) satisfies the differential equation: xy''+y'+xy=0 Hence, its derivative gi...

Q: 1, 2, 3> and B = , P = (9, 8, 7) s the angle between A and B? (I should not have to specify this, bu...

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

Q: Invasive species often display a wave of advance as they colonize new areas. Mathematical models bas...

A: To calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r. Given ...

Q: Give an example of a function that is continuous on -∞ < x < o but is not differentiable at x = 3.

Q: Idéntify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: The function is y=3xx

Q: 2. Find the absolute maximum value and the absolute minimum value of the function 3 f (x) : 5 – x2 o...

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the numb...

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

Q: An object moves with velocity given by v(t) = 9t² such that s = 4 whent = 0. Find the equation of mo...

A: Find the equation of motion of the object

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: The voltage V across a resistor in an electric circuit is the product of the resistance and the curr...

A: We have to find dv/dt at t=5 seconds.

Q: For – 10 < x < 12 the function f is defined by f(x) = x°(x + 3)° On which two intervals is the funct...

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid cur...

Q: We Wri Sm IN1 Dra Par Ho F One Rea 369/assignments/327464 4. Find a linear function that passes thro...

A: The given conditions are; f(3)=-5 and f(-2)=1.

Q: 6. Let an n4

Q: (Straightforward) Find the flow vector ī(x, y) and sketch the flow field for the differential equati...

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

Q: Give an example of a increased rate and a decreased rate

A: Increased and decreased rate with proper example are as follows.

Q: Evaluate 1+ x? + y?dS, where S is the helicoid with vector equation r(u, v : 0 < u < 3, 0 < v < 2T

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 -1 3 4 -2 -3 Clear All Draw: a. On the...

Q: The region bounded by f(x) = – 4 sin a, x = T, x = 27, and y = 0 is rotated about the y-axis. Find t...

Q: A Screen Shot 2022-03-09 at 8.18.27 PM - 口v 西 Q Search A cubic function has a constant difference of...

A: We have to find the leading coefficient of the function.

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]

Q: 3.9.4

A: Equation A and B represent the horizontal distances respectively.

Q: Let R be the region bounded by = 5, y = 5x + 6, y = - 4x + 24. To find the volume of the solid when ...

Q: Consider the integral -4 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluat...

A: We need to check if series is divergent.

Q: Find the equation of the tangent line to the curve of f(x) = x³ - 4x + 5 at the point (2, 5). Оа. у%...

Q: Solve the differential equation (x² + 1)y – 2xy – 2x = 0 using the method of separation of variables...

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Please see the below picture for detailed solution.

Q: function f has the form f(x) = a+b ln x. If f(1) = 5 and f(e) = 7, find the values E a and b. Write ...

A: Given query is to find indicted angle.

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: a ball is thrown into the air with a velocity of 42 ft/s, its height in feet t seconds later is give...

Q: _8. If y = (2x + 7)², then what is ? dx а. dx dy 2(2x + 7) C. dx dy = 2 %3D dy dy b. dx = 4x d. = 8x...

Q: Find the point on the line 5?+2?−2=0 which is closest to the point (0,0).

A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

Q: Let R be the region bounded by the following curves. let S be the solid generated when R is revolved...

A: Volume of solid of revolution

Q: Slopes and Tangent Lines In Exercises 13–16, differentiate the functions and find the slope of the t...

A: Given,

Question

The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. When the length is 13 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
135
x cm/s
Need Help? Watch t

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Use the function you found in the previous exercise to find the total area burned after 5 minutes.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?
In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter scale. In 1989, the Loma Prieta earthquake also affected the San Francisco area, and measured 6.9 on the Richter scale. Compare the intensities of the two earthquakes.
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. What is that maximum height?