12:35 ll 86% Assignment 1 Cal - Read-only ビy Read Only - You can't save changes to this fi... Show sufficient work to demonstrate understanding. Provide clear work and answers; your an- swers need not be simplified however. Each numbered or lettered response is equally weighted. 1. Find f'(t) if f(t) = dy if y = dx = VIn x 2. Find 3. Find (2tant) dy if y = sec dx (4) 4. Find 5. Find y if y = log(cot x) dy 6. Find if y = tan dt 1 of 3 II 12:35 l 86% Assignment 1 Cal - Read-only ビy Read Only - You can't save changes to this fi... 11. A large spherical snowball is melting. Its volume is decreasing at a rate of 100 cm³ /hr. How fast is the radius of the snowball decreasing when the radius is 25 cm? Note: Be sure to include the appropriate units in your response. Recall that the volume, V, of a sphere of radius r is given by V = ar. x² + 1 12. Let f(x) Show sufficient work in determining ... (a) the intervals over which f is increasing, the intervals over which f is decreasing, and any local extrema. Be sure to indicate whether an extremum is a maximum or a minimum. (b) the intervals over which the graph of f is concave up, those over which it is concave down, and any inflection points. 13. Find the absolute maximum obtained by s(t) = 2t3 – 3t² – 36t +5 on the interval [0,4]. You must show sufficient work for credit here. II

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 14CC

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Find f^1(t) if f(t) = t/ sq rt t^2 +1

12:35
ll 86%
Assignment 1 Cal - Read-only
ビy
Read Only - You can't save changes to this fi...
Show sufficient work to demonstrate understanding. Provide clear work and answers; your an-
swers need not be simplified however. Each numbered or lettered response is equally weighted.
1. Find f'(t) if f(t) =
dy
if y =
dx
= VIn x
2. Find
3. Find
(2tant)
dy
if y = sec
dx
(4)
4. Find
5. Find y if y = log(cot x)
dy
6. Find
if y
= tan
dt
1 of 3
II

12:35
l 86%
Assignment 1 Cal - Read-only
ビy
Read Only - You can't save changes to this fi...
11. A large spherical snowball is melting. Its volume is decreasing at a rate of 100 cm³ /hr. How fast is
the radius of the snowball decreasing when the radius is 25 cm?
Note: Be sure to include the appropriate units in your response. Recall that the volume, V, of a
sphere of radius r is given by V =
ar.
x² + 1
12. Let f(x)
Show sufficient work in determining ...
(a) the intervals over which f is increasing, the intervals over which f is decreasing, and any local
extrema. Be sure to indicate whether an extremum is a maximum or a minimum.
(b) the intervals over which the graph of f is concave up, those over which it is concave down, and
any inflection points.
13. Find the absolute maximum obtained by s(t) = 2t3 – 3t² – 36t +5 on the interval [0,4]. You must show
sufficient work for credit here.
II

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Hi there, as you have mentioned, that is why is have solved mentioned question.

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To find the derivative of function f(t).

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