Current Score : 17 / 22 Due : Thursday, April 24 2014 11:59 PM EDT

1. 1/4 points | Previous Answers SCalcET7 4.1.005.

Use the graph to state the absolute and local maximum and minimum values of the function. (Assumeeach point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does notexist, enter DNE.)

Section 4.1 QUIZ (Quiz)Frances CoronelMAT 151 Calculus I, Spring 2014, section 01, Spring 2014Instructor: Ira Walker

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absolute maximum value

absolute minimum value

local maximum value(s)  

local minimum value(s)  

2. 4/4 points | Previous Answers SCalcET7 4.1.023.

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum andminimum values of f. (If an answer does not exist, enter DNE.)

absolute maximum

absolute minimum

local maximum

local minimum

3. 4/4 points | Previous Answers SCalcET7 4.1.026.

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum andminimum values of f. (If an answer does not exist, enter DNE.)

absolute maximum

absolute minimum

local maximum

local minimum

f(x) = ln 4x, 0 < x ≤ 2

f(x) = 9ex

4. 3/4 points | Previous Answers SCalcET7 4.1.027.

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum andminimum values of f. (If an answer does not exist, enter DNE.)

absolute maximum

absolute minimum

local maximum

local minimum

5. 1/1 points | Previous Answers SCalcET7 4.1.030.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

6. 1/1 points | Previous Answers SCalcET7 4.1.031.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

f(x) = 4 − x if 0 ≤ x < 53x − 15 if 5 ≤ x ≤ 9

f(x) = x3 + 3x2 − 144x

x =

f(x) = 8x3 − 12x2 − 48x

x =

7. 1/1 points | Previous Answers SCalcET7 4.1.035.MI.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

Master ItFind the critical numbers of the function.

Part 1 of 3

For we have

8. 1/1 points | Previous Answers SCalcET7 4.1.036.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

g(y) = y − 3y2 − 3y + 9

y =

g(y) = y − 2y2 − 2y + 4

g(y) = ,y − 2y2 − 2y + 4

g'(y) = (No Response) .

h(p) = p − 1p2 + 6

p =

9. 0/1 points | Previous Answers SCalcET7 4.1.039.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)

F(x) = x4/5(x − 5)2

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To find critical numbers of a differentiable function, you need to differentiate the given function and solve for x in the equation All solutions, as well as the points where the function is notdifferentiable, are the critical numbers. Make sure that you use the Product Rule when differentiatingthe function.

10.1/1 points | Previous Answers SCalcET7 4.1.040.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n todenote any arbitrary integer values. If an answer does not exist, enter DNE.)

x =

F(x)F'(x) = 0.

g(θ) = 16θ − 4 tan θ

θ =