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Zill and Wright - Calculus: Early Transcendentals (Homework)

Jan Jones

Jones and Bartlett, Fall 2011

Instructor: J. Bartlett

Current Score : 0 / 10

Due : Friday, December 23, 2011 10:00 PM EST

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  • Description

    Here are some textbook questions from Calculus: Early Transcendentals 4/e by Dennis G. Zill and Warren S. Wright published by Jones and Bartlett Publishers. Click here for a list of all of the questions coded in WebAssign.

  • Instructions

    This demo assignment allows many submissions and allows you to try another version of the same question for practice.

Assignment Submission

For this assignment, the number of submissions for each answer box is counted independently. The number of submissions remaining changes only if you submit a new or changed answer.

1. –/1 points Notes Question: ZillCalc4 2.R.C.013.
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Determine intervals on which the given function is continuous.
f(x) = 
x + 7
x3 − 16x

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2. –/2 points Notes Question: ZillCalc4 2.R.C.020.
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Find the slope of the tangent line to the graph of the function at the given value of x.
y = 3x3 − x2,    x = 1


Find an equation of the tangent line at the corresponding point.

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3. –/1 points Notes Question: ZillCalc4 2.R.C.023.
Question part
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Find an equation of the line that is perpendicular to the tangent line at the point (1, 2) on the graph of
y = −4x2 + 6x.


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4. –/1 points Notes Question: ZillCalc4 3.R.C.008.
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Find the derivative of the given function.
y = 8 cot 6x
y' =
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5. –/1 points Notes Question: ZillCalc4 3.R.C.030.
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Find the indicated derivative.
y = sin(x3 − 3x);    
d2y
dx2
d2y
dx2
 = 

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6. –/3 points Notes Question: ZillCalc4 3.R.C.042.
Question part
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1 2 3
0/1 0/1 0/1
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Find the point(s) on the graph of
f(x) = 
1
2
x2 − 5x + 1
 at which
f ''(x) = f(x)
 and
f ''(x) = f '(x).
(a)    
f ''(x) = f(x)
(x, y) = ( ) (smaller x-value)
(x, y) = ( ) (larger x-value)

(b)    
f ''(x) = f '(x)
(x, y) = ( )

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7. –/1 points Notes Question: ZillCalc4 3.R.C.045.
Question part
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Find the point on the graph of
f(x) = 
x
 at which the tangent line is parallel to the secant line through
(1, f(1)) and (49, f(49)).

(x, y) = ( )
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