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Berresford and Rockett-Brief Applied Calculus 7/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 4 / 13

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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4/13 (30.8%)

  • Instructions

    Brief Applied Calculus, 7th edition by Geoffrey C. Berresford and Andrew M. Rockett, published by Cengage Learning, is intended for a one semester applied or business calculus course. This text uses real-world applications to show students the practical side of calculus. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook.

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    Question 3 demonstrates interval grading, which can grade any canonically equivalent interval and enforce proper notation.

    Question 5 grades any correct form of the equation of the tangent line.

    Question 9 grades the integral and enforces correct form and notation while also allowing all mathematically correct answers.

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1. –/0 points BerrApCalcBr7 4.1.037. My Notes
Question Part
Points
Submissions Used
Total
–/0
 
A company finds that x days after the conclusion of an advertising campaign the daily sales of a new product are
S(x) = 100 + 900e−0.2x.
 Find the daily sales 6 days after the end of the advertising campaign. (Round your answer to the nearest whole number.)
On the coordinate plane the horizontal axis is labeled Days and the vertical axis is labeled Sales. The curve, labeled S(x) = 100 + 900e−0.2x, enters the window at Sales = 1000 on the positive Sales-axis, goes down and right becoming less steep, and exits the window at the approximate point (10, 222),
S(6) = (No Response)

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2. 1/1 points  |  Previous Answers BerrApCalcBr7 4.2.007. My Notes
Question Part
Points
Submissions Used
1
1/1
2/50
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1/1
 
Use the properties of natural logarithms to simplify the function.
f(x) = ln(x8) − ln(x)
f(x) =
7ln(x)
Correct: Your answer is correct.

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3. 0/2 points  |  Previous Answers BerrApCalcBr7 4.2.015. My Notes
Question Part
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Submissions Used
1 2
0/1 0/1
1/50 1/50
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0/2
 
Find the domain and range of the function. (Enter your answers using interval notation.)
f(x) = ln(x2 − 81)
domain    
|x|>9
Incorrect: Your answer is incorrect.
range    
R
Incorrect: Your answer is incorrect.

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4. 1/1 points  |  Previous Answers BerrApCalcBr7 4.3.031.MI. My Notes
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Points
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1
1/1
2/50
Total
1/1
 
Find the derivative of the function.
f(x) = ex ln(x2)
f '(x) =
ex(ln(x2)+2x​)
Correct: Your answer is correct.

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5. 1/1 points  |  Previous Answers BerrApCalcBr7 4.3.051. My Notes
Question Part
Points
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1
1/1
1/50
Total
1/1
 
Find the equation for the tangent line to the curve
y = f(x)
 at the given x-value.
f(x) = x ln(x − 5)  at  x = 6
y=6x−36
Correct: Your answer is correct.

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6. –/1 points BerrApCalcBr7 4.3.077. My Notes
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1
–/1
0/50
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–/1
 
Use implicit differentiation to find
dy/dx.
y2 − yex = 17
dy
dx
 =

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7. –/3 points BerrApCalcBr7 4.3.079. My Notes
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1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
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–/3
 
A recent study found that one's earnings are affected by the mathematics courses one has taken. In particular, compared to someone making $30,000 who had taken no calculus, a comparable person who had taken x years of calculus would be earning
$30,000e0.195x.
 Find the rate of change of this function at
x = 1.
 (Round your answer to the nearest whole number.)
f '(1)
 =

Interpret your answer.
Annual salary by about $ per extra year of calculus.

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8. –/2 points BerrApCalcBr7 4.4.017. My Notes
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1 2
–/1 –/1
0/50 0/50
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–/2
 
For the demand function
D(p),
 complete the following.
D(p) = 200 − 5p
(a) Find the elasticity of demand
E(p).

E(p) =


(b) Determine whether the demand is elastic, inelastic, or unit-elastic at the price
p = 10.
    

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9. 1/1 points  |  Previous Answers BerrApCalcBr7 5.1.007.MI. My Notes
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1
1/1
1/50
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1/1
 
Find the indefinite integral. (Use C for the constant of integration.)
 
dw
w6
 
−15w5​+C
Correct: Your answer is correct.

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