Answered: One side of a rectangle of x= 20 cm…

One side of a rectangle of x= 20 cm increases with a speed of 5 cm/s, the other side of y= 20 cm decreases with a speed of 4 cm/s. how fast the perimeter and area of the rectangle vary?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.9: Direct Variation

Problem 15P

See similar textbooks

Related questions

Q: A tank with a capacity of 300 L is full of a mixture of water and chlorine with a con- centration of…

A: We need to find amount of chlorine.

Q: Determine whether the function is even, odd, or neither f(x)=tan(x) cos(x)

Q: Ldb + BOL + LB (BAL +dB) = 0

A: Given, αdβ+βdα+αββdα+dβ=0

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 3x³…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is where…

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate : limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: 0 = 0 zu - dx² ᎾzᏢ

Q: Evaluate the indefinite integral: dx S x In 7x +C

A: Let ln7x = t

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

Q: Find the general solution: sin 2x tan² x y

Q: Set up and evaluate the definite integral required to find the area of the region between the graph…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: given that,y=x5(1+2x)7 we know that, derivative formulas: (uv)'=uv'+vu' ddx(xn)=nxn-1

Q: (-7)=|

A: Topic:- derivatives

Q: x² - 6x - 7 x-7 Fill in the following table. Enter your answers rounded to 3 decimal places. | Y Let…

Q: For what value of a is the following function continuous at every x? a²x-6a, x≥2 x<2 f(x)= 20,…

A: Given fx=a2x-6a20x≥2x<2

Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

A: Let's find partial differentiation at given point.

Q: c) h(t): 5t e (t² + 1)^

Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

Q: The weekly demand for Math Wars - The Force Multiplies video games is given by Р 420 x - 6 +4000…

Q: A; B; Evaluate the expression without using a calculator. Expand and simplify. (2x + 3)² C; Solve…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

Q: 1. Given the algebraic function x² - xy + y² = 3 a. Find dy/dx v= O Option 4 y Option 2 y - 2x 2y +…

Q: Please kindly explain the steps and the answers are not clear. Can't really tell what's going on.…

A: Let's solve for function.

Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

Q: 1. Find the general solution: y"

Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

Q: Let f(x)=xsin(x)/1+x. Find f'(pi/2).

A: We can find the answer in the below steps.

Q: Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one…

A: Given query is to find the value of x.

Q: tal derivatives of the following function dz: z = 4x² - 3xy + 2y², where x = (CW P.193, Exercise…

Q: The D.E. (y+1) dx + (4x−y) dy=0 has an integrating factor because N ƏM dy ƏN dx is found to be

A: Let's find integration factor for given differential equation.

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h ƒ(a) = a² − 4a +6 O4a-2 O2(a+2) O None of the Choices O2(2a-1)…

A: Given function:- fa=a2-4a+6

Q: Is there a value of n that will make the following function continuous at x = 0? Give reasons for…

Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: (a) The first statement is integration by parts reverse the chain rule.

Q: Evaluate the integral. (Use C for the constant of integration.) in² (7) dt

Q: Find an equation of the sphere with center (-5, 1, 9) and radius 9. What is the intersection of this…

Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

Q: Find the (a) velocity, (b) acceleration, and (c) speed of a particle with the given position…

Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

Q: D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is…

A: Solution

Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

Q: ƒ (x) = 3x² + 3, x = 7|

Q: Derive the following functions x-2 3x-4 44. y=- 5-x 4-2x 46. y=-

A: Understanding of rational function is required in order to solve these questions. Rational function…

Q: Differentiate. Don't simplify. 17. f(x) = sin 3x 18. g(x) = (sin 3x)³ 19. h(x) = (sin 3x)³ + 5x…

Q: дz Use implicit differentiation to find and 3, Əy дz ?х

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have to find derivative of given function.

Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: Determine the rate of change of the function g(x,y) = y²tan (x-2y +4) at point (12) in the direction…

Q: JL=28 KL=5x+6 JK=3x+6 Find KL

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (15,…

A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

Question

show full and complete procedure. HANDWRITTEN only

One side of a rectangle of x= 20 cm increases with a speed of 5
cm/s, the other side of y= 20 cm decreases with a speed of 4 cm/s.
how fast the perimeter and area of the rectangle vary?

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

Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?
The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of one face of a Ferris wheel with diameter 150 feet is 70,650 square feet, what is the area of one face of a Ferris wheel with diameter of 16 feet?
If you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________
The distance an object falls varies directly to the square of the time it falls. If an object falls 52.8 feet in 4 seconds, how far will it fall in 9 seconds?