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Stewart - Brief Applied Calculus 1/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 22

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

Last Saved : n/a Saving...  ()

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Question
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1 2 3 4 5 6 7 8
0/1 –/4 2/3 –/4 1/1 –/3 –/3 –/3
Total
3/22 (13.6%)

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    In this assignment we present several textbook question types found in Chapter 2 from Brief Applied Calculus 1/e by James Stewart and Daniel Clegg published by Brooks/Cole.

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1. 0/1 points  |  Previous Answers SApCalcBr1 2.2.028.MI. My Notes
Question Part
Points
Submissions Used
1
0/1
3/50
Total
0/1
 
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)
lim x→5 
x2 − 5x
x2 − 4x − 5
Incorrect: Your answer is incorrect.

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2. –/4 points SApCalcBr1 2.3.030. My Notes
Question Part
Points
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1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
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–/4
 
(a) If
G(x) = x2 − 5x + 5,
 find G'(a) and use it to find equations of the tangent lines to the curve
y = x2 − 5x + 5
 at the points
(0, 5)
 and
(4, 1).

G'(a)
 		 = 
y1(x)
 		 = 
     		(passing through (0, 5))
y2(x)
 		 = 
     		(passing through (4, 1))

(b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen.
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3. 2/3 points  |  Previous Answers SApCalcBr1 2.3.056. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 0/1 1/1
3/50 4/50 3/50
Total
2/3
 
The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon.
(a) What is the meaning of the derivative S '(T)?
     Correct: Your answer is correct.

(b) Estimate the values of S '(10) and S '(25).
S '(10) ≈ Incorrect: Your answer is incorrect. (cm/s)/°C
S '(25) ≈ Correct: Your answer is correct. (cm/s)/°C
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4. –/4 points SApCalcBr1 2.4.003.MI. My Notes
Question Part
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1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
Total
–/4
 
The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV.

I
II
III
IV

(a) (b)
(c) (d)

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5. 1/1 points  |  Previous Answers SApCalcBr1 2.4.004. My Notes
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1/1
1/50
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1/1
 
Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph of f ' below it.

Incorrect: Your answer is incorrect.

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6. –/3 points SApCalcBr1 2.4.017.MI. My Notes
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1 2 3
–/1 –/1 –/1
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–/3
 
Find the derivative of the function using the definition of derivative.
f(x) = 
1
2
x − 
1
8
f '(x) =


State the domain of the function, f(x). (Enter your answer in interval notation.)


State the domain of its derivative,
f '(x).
 (Enter your answer in interval notation.)

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7. –/3 points SApCalcBr1 2.4.020. My Notes
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1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
Total
–/3
 
Find the derivative of the function using the definition of derivative.
f(x) = 2.5x2 − x + 3.6
f '(x) =


State the domain of the function. (Enter your answer in interval notation.)


State the domain of its derivative. (Enter your answer in interval notation.)

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8. –/3 points SApCalcBr1 2.4.057. My Notes
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–/1 –/1 –/1
0/50 0/50 0/50
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–/3
 
The figure shows the graphs of f, f ', and f ''. Identify each curve.
f
f '
f ''

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