Calculus

Suppose fx,gx , and hx are all functions graphed in the xy-plane. Let gx=-5x-8 and hx=x2-x-4 . If fx is a function such that gx ≤ fx ≤ hx , find limlimits _xto -2fx , or state that it cannot be determined.

The volume of a right circular cylinder of radius r and height h is V= π r2h. a Assume that r and h are functions of t. Find V't. b Suppose that r=e5t and h=e-5t . Use part a to find V't. c Does the volume of the cylinder of part b increase or decrease as t increases? a Find V't . Choose the correct answer below. A. V't=2 π rthtr't+ π rt2h't B. V't= π rt2h't...

er finds that the revenue generated by selling x units of a certain commodity is given by the function Rx=100x-0.4x2 , where the revenue Rx is measured in dollars. What is the maximum revenue, and how red to obtain this maximum? _ _ , at units

1-16 Differentiate. 1. fx=x2sin x 3. fx=excos x 5. y=sec θ tan θ 7. y=ccos t+t2sin t 9. y=frac x2-tan x 11. f θ =frac sin θ 1+cos θ 13. y=frac tsin t1+t 15. f θ = θ cos θ sin θ

Question Given the function fx=3cos x , determine the derivative of f at x= π using the limit shown below. You do not have to simplify your answer. Answer Attempt 2 out of 2 limlimits _hto 0 square root of frac 3cos π +h+3h square square square Submnit Answer

If y=frac ln xx , then dy/dx = a 1/x a B frac 1x2 frac ln x-1x2 o frac 1-ln xx2 D

Find the equation of the line tangent to the graph of fx=-x-3 at x=-3 . Use a limit definitio the slope of the tangent line. Provide your answer below: y=square

=[e2tcos t-e2tsin t]i-[-e2tsin 2t+e2tcos 2t]j+[e2t]widehat k

Given the function y=-8x2-9x3 , find dy/dx in any form. Answer Attempt 1 out of 3 dy/dx =square

Help Entering Answers 1 point At what point on the paraboloid y=4x2+5z2 is its tangent plane parallel to the plane -6x-6y+5z=-6 ? -1.5,14,1 I If you don't get this in 3 tries, you can see a similar example online. However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams! Hint: