Stephanie Townsend Home H Courses Week 8 "Integration" Take Test: W8 Final ? Take Test: W8 Final Test Information
Description
Instructions
Multiple Attempts Not allowed. This test can only be taken once.
Force Completion This test can be saved and resumed later. Question Completion Status: QUESTION 1 2 points Save Answer Find the limit. 121
does not exist
±11
11
QUESTION 2 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. log6 6‑9
‑54
6
‑9
1
QUESTION 3 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. ln e2
8
e
2
64
QUESTION 4 2 points Save Answer Solve the equation. ln = 2
{e4 ‑ 2}
{e4 + 2}
{e2 ‑ 2} QUESTION 5 2 points Save Answer Solve the equation. log42 (x2 ­ x) = 1
{­6, ‑7}
{­6, 7}
{1, 42}
{6, 7}
QUESTION 6 2 points Save Answer Find the limit. 0
does not exist
1
QUESTION 7 2 points Save Answer Solve the equation. 3 + 8 ln x = 10
7/8
{e } QUESTION 8 2 points Save Answer Find the integral. x3/2 ­ x3/2 ­ + C + C 2x ­ + C 2x ­ + C QUESTION 9 2 points Save Answer Find the domain of the function. h(x) = {x|x ≠ 0}
all real numbers
{x|x ≠ ­8, 0, 8}
{x|x ≠ 2}
QUESTION 10 2 points Save Answer Determine if the given function can be extended to a continuous function at If so, approximate the extended functionʹs value at (rounded to four decimal places if necessary). If not, determine
whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at Otherwise write ʺno continuous extension.ʺ f(x) = No continuous extension
f(0) = 0 only from the right
f(0) = 0
f(0) = 0 only from the left
QUESTION 11
Click Save and Submit to save and submit. Click Save All Answers to save all answers. Find the absolute extrema if they exist as well as where they occur. 2 points Save Answer Save All Answers Save and Submit f(x) = Absolute minimum of ‑ 1 at x = ­3; no absolute maxima
Absolute minimum of ‑ at x = ‑4; absolute maximum of at x = 5
No absolute extrema
Absolute minimum of ‑ 1 at x = ­3; absolute maximum of at x = 5
QUESTION 12 2 points Save Answer Solve the equation. e2x = 7
{2 ln 7} Question Completion Status: QUESTION 13 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. log4 24 ­ log4 6
24
1
6
4
QUESTION 14 2 points Save Answer Determine if the given function can be extended to a continuous function at If so, approximate the extended functionʹs value at (rounded to four decimal places if necessary). If not, determine
whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at Otherwise write ʺno continuous extension.ʺ f(x) = f(0) = 1 only from the left
f(0) = 1 only from the right
No continuous extension
f(0) = 1
QUESTION 15 2 points Save Answer Find the domain of the function. all real numbers
{x|x ≠ 6}
{x|x ≥ 6}
{x|x > 6}
QUESTION 16 2 points Save Answer Find the integral. 2 + 2 + C 2 + 3 + C
x3/2 + x4/3 + C
x3/2 + x4/3 + C
QUESTION 17 2 points Save Answer Determine if the given function can be extended to a continuous function at If so, approximate the extended functionʹs value at (rounded to four decimal places if necessary). If not, determine
whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at Otherwise write ʺno continuous extension.ʺ f(x) = f(0) = 2 only from the left
f(0) = 2 only from the right
f(0) = 2 No continuous extension
QUESTION 18 2 points Save Answer Find the absolute extrema if they exist as well as where they occur. f(x) = 3 ­ x ­ 25/x, x > 0
Absolute maximum of ‑23 at x = 1; no absolute minimum
Absolute maximum of ‑7 at x = 5; no absolute minimum
Absolute maximum of 13 at x = ­5; absolute minimum of 3 at x = 0
Absolute minimum of ‑7 at x = 5; no absolute maximum
QUESTION 19 2 points Save Answer Find the limit if it exists. (x + 3)2(x ­ 3)3
3125
25
1
125
QUESTION 20 2 points Save Answer Find the intervals on which the function is continuous. y = ­ discontinuous only when x = ­11
discontinuous only when x = ­4
discontinuous only when x = ­7 or x = ­4
continuous everywhere
QUESTION 21 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. log238 14 + log238 17
17
14
238
1
QUESTION 22 2 points Save Answer Find the limit, if it exists. 0
Does not exist
1/4
1/2
QUESTION 23 2 points Save Answer Find the intervals on which the function is continuous. Click Save and Submit to save and submit. Click Save All Answers to save all answers. y = Save All Answers Save and Submit discontinuous only when x = 15
discontinuous only when x = ­24
discontinuous only when x = ­3
continuous everywhere
QUESTION 24 2 points Save Answer Determine if the given function can be extended to a continuous function at If so, approximate the extended functionʹs value at (rounded to four decimal places if necessary). If not, determine
whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at Otherwise write ʺno continuous extension.ʺ f(x) = (1 + 2x)1/x
f(0) = 5.4366
f(0) = 7.3891
f(0) = 2.7183
No continuous extension Question Completion Status: QUESTION 25 2 points Save Answer Find the absolute extrema if they exist as well as where they occur. f(x) = ­3x4 + 16x3 ­ 18x2 + 9
Absolute maximum of 4 at x = 1; no absolute minima
Absolute maximum of 36 at x = 3; no absolute minima
Absolute maximum of 17 at x = 2; no absolute minima
No absolute extrema
QUESTION 26 2 points Save Answer Find the limit if it exists. ­
62
62
QUESTION 27 2 points Save Answer Solve the equation. x + 6
e = 8
{ln 8 ­ 6}
{ln 14}
{e8 + 6}
{e48}
QUESTION 28 2 points Save Answer Find the domain of the function. f(x) = x2 + 8
{x|x ≥ ­8}
all real numbers
{x|x > ­8}
{x|x ≠ ­8}
QUESTION 29 2 points Save Answer Find the limit if it exists. x3/4
64
256
192
QUESTION 30 2 points Save Answer Find the intervals on which the function is continuous. y = discontinuous only when x = ­4 or x = 4
discontinuous only when x = ­16 or x = 16
discontinuous only when x = ­4
discontinuous only when x = 16
QUESTION 31 2 points Save Answer Find the limit. (x3 + 5x2 ­ 7x + 1)
0
29
does not exist
15
QUESTION 32 2 points Save Answer Find the limit, if it exists. 17x
Does not exist QUESTION 33 2 points Save Answer Find the integral. dx ­ e‑0.7x + C
+ e‑0.7x + C
7 ln ­ e‑0.7x + C
7 ln + e‑0.7x + C
QUESTION 34 2 points Save Answer Find the intervals on which the function is continuous. y = ­ 4x
continuous everywhere
discontinuous only when x = ­7
discontinuous only when x = 3
discontinuous only when x = ­3
QUESTION 35 2 points Save Answer Find the intervals on which the function is continuous. y = discontinuous only when x = ­5 or x = 2
discontinuous only when x = 2
discontinuous only when x = 2 or x = 5
discontinuous only when x = ­2 or x = 5 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit discontinuous only when x = ­2 or x = 5
QUESTION 36 2 points Save Answer Find the domain of the function. f(x) = {x|x ≠ }
{x|x ≤ }
{x|x ≠ 23}
{x|x ≤ 23}
QUESTION 37 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. log5 30 ­ log5 6
5
6
30
1 Question Completion Status: QUESTION 38 2 points Save Answer Find the limit. (3x5 ­ 2x4 + 4x3 + x2 + 5)
41
105
57
169
QUESTION 39 2 points Save Answer Find the integral. ­ 8 ­ C ­ ­ ­ + C + C ­ ­ 8 + C
QUESTION 40 2 points Save Answer Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. ln e2
e
8
2
64
QUESTION 41 2 points Save Answer Find the limit, if it exists. 3
0
Does not exist
1/3
QUESTION 42 2 points Save Answer Find the limit if it exists. (x ­ 24)1/3
3
9
3
1
QUESTION 43 2 points Save Answer Find the integral. ln + 4x­1/2 + C ln ‑ 4x­1/2 + C ln + 4x­1/2 + C ln ‑ 4x­1/2 + C
QUESTION 44 2 points Save Answer Solve the equation. 9 ln 5x = 36
{e4} QUESTION 45 2 points Save Answer Find the domain of the function. f(x) = {x|x ≠ 0}
{x|x ≠ ‑4}
{x|x > ‑4}
all real numbers
QUESTION 46 2 points Save Answer Find the integral. dx
x7/3 ­ x7/2 + C
x7/3 ­ x7/2 + C
x7/3 ­ x7/2 + C
x7/3 ­ x7/2 + C
QUESTION 47 2 points Save Answer Find the domain of the function. g(x) = {x|x ≠ ­7, 7} Click Save and Submit to save and submit. Click Save All Answers to save all answers.
all real numbers {x|x > 49}
{x|x ≠ 0} Save All Answers Save and Submit {x|x ≠ 0}
QUESTION 48 2 points Save Answer Find the integral. x5 + ln + C
x4 ­ ln + C
x5 ­ ln + C
x4 + ln + C
QUESTION 49 Question Completion Status: 2 points Save Answer Find the integral. ­ ­ + C ­ + C + + C ­ + + C QUESTION 50 2 points Save Answer Find the limit, if it exists. Does not exist
1/2
1
2 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit

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