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Q: Consider the following function. Without finding teh inverse, evaluate the derivative of the inverse...

A: Given information:The given function is .

Q: f(x)= 16x2-4x+2; x=1 (a) Find the derivative, by using the definition (b) Find the instantaneous rat...

A: (A) Found the derivative using the definition. Answer: f'(x)=32x-4

Q: I got up to: 60-62t, then started doing 30 + the integral from t to 0 but I don’t know if I’m doi...

A: To find velocity we have to integrate a(t)= -62Answer: Velocity: v(t)=-62t+60

Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y produce...

A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.

Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

A: To find the position function we integrate velocity function and use s(0)=2.Answer(A): Position func...

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of the cylinder y=6x2 for 0 ≤ x ≤ 4, 0 ≤ z ≤ 2.Let's parameter...

Q: Consider the following velocity function. Complete the sentence: The same distance could have been t...

A: The given velocity function is,

Q: a. find the critical points of f on the given interval b. Determine the absolute extreme values of f...

A: Given information:The given function is .

Q: 12. An oil tanker struck a reef and caused an oil spill in the ocean. Assume that in its early stage...

A: Let r be the radius of the oil spill which is circular in shape.Given,