Demand Suppose the demand for a new brand of sneakers is given by q = 5 , 000 , 000 p , where p is the price per pair of sneakers in dollars and q is the number of pairs of sneakers that can be sold at price p . Find q ( 100 ) , and estimate q ' ( 100 ) . Interpret your answers. [ HINT: See Example 1.]
Demand Suppose the demand for a new brand of sneakers is given by q = 5 , 000 , 000 p , where p is the price per pair of sneakers in dollars and q is the number of pairs of sneakers that can be sold at price p . Find q ( 100 ) , and estimate q ' ( 100 ) . Interpret your answers. [ HINT: See Example 1.]
Solution Summary: The author calculates the value of q(100) if the demand for a new brand of sneakers is provided as q=5000000p.
Demand Suppose the demand for a new brand of sneakers is given by
q
=
5
,
000
,
000
p
,
where p is the price per pair of sneakers in dollars and q is the number of pairs of sneakers that can be sold at price p. Find
q
(
100
)
, and estimate
q
'
(
100
)
. Interpret your answers. [HINT: See Example 1.]
Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace Transformation and explain step-by-step.
12. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
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13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
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14. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
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DETAILS
MY NOTES
SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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7. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
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8. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
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