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Stephanie Townsend Home H Courses Week 7 "Applications of Differentiation" Take Test: W7 Quiz ? Take Test: W7 Quiz Test Information
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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 4 points Save Answer Find the absolute extreme values of the function on the interval. f(x) = tan x, ≤ x ≤ absolute maximum is 1 at x = ; absolute minimum is 1 at x = absolute maximum is 1 at x = ; absolute minimum is 1 at x = absolute maximum is 1 at x = and ; absolute minimum does not exist
absolute maximum is 1 at x = ; absolute minimum is 1 at x = QUESTION 2 4 points Save Answer Find the absolute extreme values of the function on the interval. f(x) = 3x2/3, 27 ≤ x ≤ 1
absolute maximum is 9 at x = 27 ; absolute minimum is 0 at x = 0
absolute maximum is 27 at x = 27 ; absolute minimum is 0 at x = 0
absolute maximum is 27 at x = 27 ; absolute minimum is 3 at x = 1
absolute maximum is 3 at x = 1 ; absolute minimum is 0 at x = 0
QUESTION 3 4 points Save Answer Determine all critical points for the function. f(x) = x3 12x + 3
x = 2
x = 2
x = 2 and x = 2
x = 2, x = 0, and x = 2
QUESTION 4 4 points Save Answer Solve the problem. Of all numbers whose difference is 10, find the two that have the minimum product.
5 and 5
1 and 11
20 and 10
0 and 10
QUESTION 5 4 points Save Answer Solve the problem. Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 10.
x = 1, y = 3
x = , y = 5
x = 0, y = x = 5, y = QUESTION 6 4 points Save Answer Solve the problem. From a thin piece of cardboard 10 in. by 10 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum
volume? Round to the nearest tenth, if necessary.
3.3 in. by 3.3 in. by 3.3 in.; 37 in.3
6.7 in. by 6.7 in. by 3.3 in.; 148.1 in.3
5 in. by 5 in. by 2.5 in.; 62.5 in.3
6.7 in. by 6.7 in. by 1.7 in.; 74.1 in.3
QUESTION 7 4 points Save Answer Find the absolute extreme values of the function on the interval. f(x) = x4/3, 1 ≤ x ≤ 8
absolute maximum is 16 at x = 8; absolute minimum is 1 at x = 1
absolute maximum is 64 at x = 8; absolute minimum is 0 at x = 01
absolute maximum is 16 at x = 8; absolute minimum is 0 at x = 01
absolute maximum is 16 at x = 8; absolute minimum does not exist
QUESTION 8 4 points Save Answer Find the extreme values of the function and where they occur. y = x3 3x2 + 4x 4
The minimum is 0 at x = 1.
The maximum is 0 at x = 2.
None
The maximum is 0 at x = 1.
QUESTION 9 4 points Save Answer Determine all critical points for the function. f(x) = (x 10)5
x = 0, x = 10, and x = 5
x = 10
x = 10 and x = 5
x = 0 and x = 10
QUESTION 10 4 points Save Answer Find the absolute extreme values of the function on the interval. F(x) = , 2 ≤ x ≤ 8
absolute maximum is 2 at x = 8; absolute minimum is 2 at x = 8
absolute maximum is 2 at x = 8; absolute minimum is 0 at x =0
absolute maximum is 0 at x = 0; absolute minimum is 2 at x = 8 absolute maximum is 2 at x = 8; absolute minimum is 0 at x =0
QUESTION 11 4 points Save Answer Find the extreme values of the function and where they occur.
y = The minimum value is 0 at x = 1. The maximum value is 0 at x = 1. The minimum value is 0 at x = 0.
Click Save and Submit to save and submit. Click Save All Answers to save all answers. The minimum value is 1 at x = 1. The maximum value is 1at x = 1. The maximum value is 0 at x = 0. Save All Answers Save and Submit The maximum value is 0 at x = 0.
QUESTION 12 4 points Save Answer Find the extreme values of the function and where they occur. y = The minimum value is 1 at x = 0.5.
The maximum value is 1 at x = 0.5, the minimum value is 1 at x = 0.5.
The maximum value is 1 at x = 0.
The maximum value is 1 at x = 0.5.
QUESTION 13 4 points Save Answer Determine all critical points for the function. Question Completion Status: f(x) = x = 2
x = 0 and x = 2 the function has no critical points
x = 8 and x = 0 QUESTION 14 4 points Save Answer Determine all critical points for the function. y = 2x2 64
x = 4
x = 0 x = 0 and x = 4
x = 0, x = 4, and x = 4
QUESTION 15 4 points Save Answer Find the extreme values of the function and where they occur. y = The maximum is at x = 0; the minimum is 1 at x = 2.
The maximum is 3 at x = 0; the minimum is at x = 2.
None
The maximum is at x = 0; the minimum is 1 at x = 2.
QUESTION 16 4 points Save Answer Solve the problem. Suppose c(x) = x3 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost per item of making x items.
11 items
12 items
14 items
13 items
QUESTION 17 4 points Save Answer Find the extreme values of the function and where they occur. y = The maximum is 6 at x = 2.
The minimum is 0 at x = 1.
The minimum is 6 at x = 0.
The maximum is 6 at x = 2.
QUESTION 18 4 points Save Answer Find the absolute extreme values of the function on the interval. h(x) = x + 4, 3 ≤ x ≤ 3
absolute maximum is at x = 3; absolute minimum is at x = 3
absolute maximum is at x = 3; absolute minimum is at x = 3
absolute maximum is at x = 3; absolute minimum is at x = 3
absolute maximum is at x = 3; absolute minimum is 3 at x = 3
QUESTION 19 4 points Save Answer Find the extreme values of the function and where they occur. y = (x 4)2/3
The maximum value is 0 at x = 4.
The minimum value is 0 at x = 4.
The minimum value is 0 at x = 4.
There are no definable extrema.
QUESTION 20 4 points Save Answer Find the absolute extreme values of the function on the interval. F(x) = , 0.5 ≤ x ≤ 4
absolute maximum is at x = 4; absolute minimum is 4 at x = absolute maximum is at x = ; absolute minimum is 4 at x = 4
absolute maximum is at x = ; absolute minimum is 4 at x =4
absolute maximum is at x = 4; absolute minimum is 4 at x = QUESTION 21 4 points Save Answer Solve the problem. The stadium vending company finds that sales of hot dogs average 34,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 50 cent increase in the price, the sales per game drop by 5000 hot
dogs. What price per hot dog should the vending company charge to realize the maximum revenue?
$3.20
$3.40
$0.90
$2.95
QUESTION 22 4 points Save Answer Determine all critical points for the function. f(x) = 20x3 3x5 x = 2
x = 2 and x = 2
x = 0, x = 2, and x = 2
x = 2
QUESTION 23 4 points Save Answer Find the absolute extreme values of the function on the interval. g(x) = 7 5x2, 3 ≤ x ≤ 5
absolute maximum is 35 at x = 0; absolute minimum is 38 at x = 3
absolute maximum is 5 at x = 0; absolute minimum is 132 at x = 5
Click Save and Submit to save and submit. Click Save All Answers to save all answers.
absolute maximum is 7 at x = 0; absolute minimum is 118 at x = 5
absolute maximum is 14 at x = 0; absolute minimum is 38 at x = 5 Save All Answers Save and Submit QUESTION 24 4 points Save Answer Solve the problem. A baseball team is trying to determine what price to charge for tickets. At a price of $10 per ticket, it averages 45,000 people per game. For every increase of $1, it loses 5,000 people. Every person at the game
spends an average of $5 on concessions. What price per ticket should be charged in order to maximize revenue?
$13.00
$7.00
$4.00
$3.00
QUESTION 25 4 points Save Answer Solve the problem. Question Completion Status:
A hotel has 280 units. All rooms are occupied when the hotel charges $100 per day for a room. For every increase of x dollars in the daily room rate, there are x rooms vacant. Each occupied room
costs $24 per day to service and maintain. What should the hotel charge per day in order to maximize daily profit? $202
$102
$192
$190 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit