Math
nader321
These questions
(1 pt) Suppose that an object moves along the y-axis sot hat its location
is y = x x is in seconds.)
2
+8x at time x. (Here y is in meters and
(A) Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds (include units).
Average velocity =
(B) Find the average velocity for x changing from 5 to 5 + h seconds.
Average velocity =
(C) Find the instantaneous velocity at x = 5 seconds (include units).
Instantaneous velocity =
Answer(s) submitted:
• 19 m/s
•
• 18 m/s
(score 0.6666666865348816)
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2 The cost (in dollars) of producing x units of a certain commodity is
C(x) = 6500 + 19x + 0.2x2.
(a) Find the average rate of change of C with respect to x when the production level is changed
(i) from x = 100 to x = 105. Average rate of change =
(ii) from x = 100 to x = 101. Average rate of change =
(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)
Instantaneous rate of change =
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4. (1 pt)
Let f (x) = x3 − 2x. Calculate the difference quotient f(3+h)−f(3) for
h h=.1
h=.01
h=−.01
h=−.1
If someone now told you that the derivative (slope of the tangent line to the graph) of f (x) at x = 3 was an integer, what would you expect it to be?
Answer(s) submitted:
• • • • •
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5. (1 pt)
Let f (x) = 1 . Calculate the difference quotient x−4
f(−1+h)−f(−1) for h
h=.1
h=.01
h=−.01
h=−.1
If someone now told you that the derivative (slope of the tangent line to the graph) of f (x) at x = −1 was −1/n2 for some integer n what would you expect n to be?
n=
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6. (1 pt) √
Let f (x) = x + 5. Calculate the difference quotient f(11+h)−f(11) for
h h=.1
h=.01
h=−.01
h=−.1
If someone now told you that the derivative (slope of the tangent line to the graph) of f (x) at x = 11 was 1/n for some integer n whatwouldyouexpectntobe?
n=
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- 10 years ago
- 10
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- velocity.docx
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- velocity.docx
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