ONLY 7 Find the limit analytically:2-4xlim40 5+3xx? - 2.x -15limx 52.3.Find dy/dx of:x'(x-y)-x-yevaluated at x = 0.001 and y = 0.002Compute the derivative of the following:3g(x) =52.x'x2 sin xf(x) =1+2 cos xPvaluated at x = 1 rad5.S(x) = x' +5.x -x+46.S(x) = e 05* (2 cos 2x+3sin 2.x)0.5x7., evaluated at x =1 rad8.Find the indicated partial derivativef(x, y,z) = ye + ze" + xe; f (x, y,z)9.The strength of a rectangular beam is proportional to the square of the width andthe cube of the height. Find the height of the largest beam that can be cut from a circular logof radius 15 cm.A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled10.horizontally away from the wall so that the top is sliding down at 2 ft/sec, how fast is themeasure of the angle between the ladder and the ground changing when the bottom of theladder is 12 ft from the wall?

Answered: Image /qna-images/answer/f90456a6-cb8d-4cb7-810e-abf89b213a93.jpg

Answered: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. ,…

Math

Calculus

S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

ONLY 7

Find the limit analytically:
2-4x
lim
40 5+3x
x? - 2.x -15
lim
x 5
2.
3.
Find dy/dx of:
x'(x-y)-x-y
evaluated at x = 0.001 and y = 0.002
Compute the derivative of the following:
3
g(x) =
5
2.x'x
2 sin x
f(x) =
1+2 cos x
Pvaluated at x = 1 rad
5.
S(x) = x' +5.x -x+4
6.
S(x) = e 05* (2 cos 2x+3sin 2.x)
0.5x
7.
, evaluated at x =1 rad
8.
Find the indicated partial derivative
f(x, y,z) = ye + ze" + xe; f (x, y,z)
9.
The strength of a rectangular beam is proportional to the square of the width and
the cube of the height. Find the height of the largest beam that can be cut from a circular log
of radius 15 cm.
A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled
10.
horizontally away from the wall so that the top is sliding down at 2 ft/sec, how fast is the
measure of the angle between the ladder and the ground changing when the bottom of the
ladder is 12 ft from the wall?

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