Question

The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of the volume of the sphere when the radius is 8 inches.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the vertical asymptotes (if any) of the graph of the function                      h(s) = (3s +...

A: Vertical asymptotes of the function hs=3s+4s2-16

Q: Rewrite sin(x+5π4)sin(x+5π4) in terms of sin(x)sin(x) and cos(x)cos(x) using one of the following su...

A: To rewrite sinx+5π4 in terms of sin(x) and cos(x) using sum/ difference identities.

Q: Find the general solution analytically. (Enter your solution as an equation.)

A: given equation is, dydx=-xy

Q: dy Differentiate implicitly to find dx 5 3 5 ху 2 2 Xy + 6x¯ = 8y +7 %3D

A: Given equation is x3y5+6x52=8y52+7. Compute the implicit derivative. ddxx3y5+6x52=ddx8y52+73x2y5+5y4...

Q: 6) Sketch the region whose area is given by the definite integral and use geometric formulas to eval...

A: The integral means the area between y=2x+4 line and x-axis, for 0≤x≤10. Or we can say that the integ...

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2? Whic...

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1     →both function are growing with the same ratelimx→∞f(...

Q: Use the remainder theorem to find the remainder when​ f(x) is divided by the given x−k.f(x)=3x2-4x+4...

A: Click to see the answer

Q: Give an example of each of the following, or state that such arequest is impossible by referencing t...

A: Let xn=n and yn=-n Both xn and yn are unbounded and therefore diverge However, xn+ yn=n-n=0 Hence xn...

Q: 2 questions in Pre-Calculus

A: Click to see the answer

Q: Find an equation for the rational function in the given graph. 10 5- -10 -5 -5- -10 The equation of ...

A: From the graph, we know that there is a vertical asymptote at x=3, which means at x=3 denominator be...

Q: Sketch the solid described by the given inequalities. r2 < z < 8-r2

A: Given r2≤z≤8-r2

Q: Volume of a box A box with a square base of length x and height h has a volume V = x2 h.a. Compute t...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for ...

Q: setup dxdydz only 35. y=x2, z=0, y+2z=4

A: Given y=x2 ..(1) z=0 y+2z=4 ..(2) Setup dxdydz

Q: tions in Problems 1–11. Describe the kernel. 1. T:R? → R², T(x. у) %3 (-х, у) 2. Т:R) - R?, T(x, y, ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the domain of the function f(x) = log3(x + 6).

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1  

Q: Exponential and Logarithmic Equations Solve the equation. Find the exact solution if possible; other...

A: Given: 32x-7=27 for solving this, we simplify given expression

Q: P1L1,L2 x=0 aanay=7.93407 The graph indicates that the initial voltage was Vo - 7.93407 volts. Other...

A: Click to see the answer

Q: All boxes with a square​ base, an open​ top, and a volume of 200ft^3 have a surface area given by ​S...

A: We differentiate S(x) with respect to x. S(x)=x2+800xS(x)=x2+800x-1S(x)=2x-800x-2S'(x)=2x-800x2

Q: Setup cylindrical only

A: E is the region that lies inside the cylinder x2+y2=16 and between the planes z=-5 and z=4 Change th...

Q: Use synthetic division to divide the first polynomial by the second.3x4-17x3+13x2-19x+20       x-5Th...

A: Click to see the answer

Q: n the given interval? Select complete your choice.

A: Click to see the answer

Q: A section in a stadium has 20 seats in the first row, 23 seats in the second row, increasing by 3 se...

A: A section in a stadium has 20 seats in the first row 23 seats in the second row increasing by 3 seat...

Q: The integral from 0 to 27 of 3/(x^(1/3))

A: Click to see the answer

Q: 1-tan x 1+ tan x sec x-CsC X a. sin x + cos x sin x COS X b. sin x +cosX sin x + cos X C. sin x- cos...

A: Click to see the answer

Q: Given sin(x + e) = y, find dy/dx

A: Given that: y = sin(x+ex)  To find: dydx Let  y = sin(x+ex) differentiate both sides with respect to...

Q: A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve y = sinh...

A: Given: y1=coshxy1=sinhxfrom y−axis to x=2

Q: A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus, and the l...

A: Click to see the answer

Q: Evaluate the global maximum and global minimum of the function g(x) = 8 √( x – 4) defined over the i...

A: The given function is gx=8x-4 in the interval 4≤x≤29. First  find the derivative of the function, gx...

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th...

A: Click to see the answer