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20 question answer………………………..

Question 4 of 43

-/1

III

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Use the given derivative to find all critical points off and at each critical point determine whether a relative maximum, relative

minimum or neither occurs. Assume that f is continuous everywhere.

3 – 4x

f'(x) =

Vx+2

Enter the exact answers in increasing order.

• X=

.

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Q

N

Qu

Question 5 of 43

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9

VE

G

Use a graphing utility to estimate the absolute maximum and

minimum values of f, if any, on the stated interval, and then use

calculus methods to find the exact values.

14 – 7 cosa

f(x) =

sin

If there is no absolute maximum or minimum on the given interval,

indicate that using the check box.

NOTE: Enter the exact answers.

л

3

Qu

M

Que

Num

View

Math

Graph

An absolute minimum value of

Quest

Math Sy

Graphic

occurs at

No absolute minimum

Questi

Menu

An absolute maximum value of

Question

NU

occurs at 2

No absolute maximum

Question

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Question 7 of 43

-11

Questi

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Question

Multipart

Verify that the hypothesis of Mean-Value Theorem are satisfied on the given interval, and find a value of cin that interval that

satisfies the conclusion of the theorem.

f) = x + x2 on (-1.2)

Question

Math Symbol

Graphing

Question

Mutta

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Question 4

Numerical

Question 5

Math Symbol

Graphing

Question 6

Math Symboler

Graphic

Vieving Ques

Numerical

Question 8

Numeric Maple

Question 9

Math Symboland

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rindi tam

Question 8 of 43

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ini

Ques

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Let

Questic

Multipart

s(x) = { 18+

XSI

> 1

Questio

Graphing

Find the values of a and b so that will be differentiable at x = 1.

Question

Muitstep

a=

Question

Numer Map

be

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Question 6

Math Symbol

Graphing

Question 7

Numerie

Viewing Ques

Numeri Maple

Question

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Question 9 of 43

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Let g(x) = x3 – 2x + 4. Find f(x) so that f'(x) = f'(x) and f(1) = 1.

NOTE: Enter the eract answer.

f(1) =

C

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Q

N

Qu

Num

Vies

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Question 10 of 43

-/1

Que

Much

Grapt

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Ques

Maths

Graph

Use simple area formulas from geometry to find the area function

A(z) that gives the area between the graph of the function

f(x) = 232 – 23 and the interval [1, 2]. Confirm that A'(x) = f(x).

Questi

Numeric

Questio

Numeric

NOTE: Enter the exact answer.

Question

Math Symbo

Graphing

A(2) =

Viewing 0

10

och Symbol

Graphing

Question 11

Symbok

Graphic

Question 12

Mach Symbocand

Graph

Question 13

Symbok and

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Question 15 of 43

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Express the sum

Σ

M

72

7k

3n

k=1

in closed form.

Vic

15

M

Grap

IM

Ques

Numer

Questi

Numene

Questio

Question

Numer Ma

Question

Mathybo

Question

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Question 17 of 43

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Find

(196) – slo)dirir

,

f(x)dx = 7 and

8(x)dx = 4

I.

13

[9f(x) – g(x)]dx =

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Question 20 of 43

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Use the following theorem to evaluate the given integrals.

Theorem: If f is integrable on a closed interval containing the

three points a, b, and, c then

[ f(z) dx = [“s(z) ds +

s() dx + [ f(a) der

N

no matter how the points are ordered.

NOTE: Enter the exact answers.

O

NE

SERS

(a) 18+ fel der =

Qu

ME

Que

M

Grap

Que

(b) 1 1/2 – cos z do

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Question 21 of 43

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Find the average value of the function f(x) = 19 sin(x) over the

interval (0, 1)

NOTE: Enter an exact answer.

fave

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Question 22 of 43

(1)

N

=

2

QL

M

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Qu

Que

Ques

Ques

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Question 39 of 43

0/1

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X

Incorrect.

Use implicit differentiation to find the slope of the tangent line to the curve at the specified point.

**+y* = 16; (1.715)

Round your answer to four decimal places

M

Sie

-0.0374

lyvis

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39

NU

Que

NU

Ques

M

Ques

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Question 40 of 43

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x

Incorrect

A conical water tower with vertex down has a radius of 10 ft at the top and is 26ft high. If water flows into the tank at a rate of 28

ft/min, how fast is the depth of the water increasing when the water is 15 ft deep?

Round your answer to two decimal places

The depth of water is increasing at a rate of 0.07

ft/min

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M

QL

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Question 42 of 43

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III

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X

Your answer is incorrect.

Edit

Find a horizontal line y = k that divides the area between

y = z2 and y = 49 into two equal parts.

NOTE: Enter the exact answer.

125

k=

х

2

SEO FO 10

Vic

42

M

ora

Que

Num

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Question 43 of 43

0/1

E

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X

Incorrect

Use Newton’s Method, where needed, to approximate the x-coordinates of the intersections of the curves to nine decimal places,

and then use those approximations to approximate the area of the region that lies below the curvey = sinx and above the line

y = 0.7x, where x > 0.

Round your answer to four decimal places.

A=

0.2624

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Question 34 of 43

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The figure below shows the velocity versus time curve for a rocket in outer space where the only significant force on the rocket is

from its engines. It can be shown that the mass M(t) (in slugs) of the rocket at time t seconds satisfies the equation

M(t) =

T

PARTIR

where T is the thrust (in lb) of the rocket’s engines and v is the velocity (in ft/s) of the rocket. The thrust of the first stage of certain

rocket is T = 7725667 lb. Use this value of 7 and the line segment in the figure below to estimate the mass of the rocket at time

t = 100.

20,000

(ft/s)

15.000

10.000

Velocity

5.000

20 40 60 80 100 120 140

Time 1 (s)

Round your answer to the nearest thousand.

M(100) =

1

slugs

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