Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 0.4.5 t 2 − 15 t + 180 thousand dollars ( 0 ≤ t ≤ 5 ) , where t is time in years since the start of 2010. 66 a. Compute the average rate of change of P ( t ) over the interval [ 1 , 5 ] , and interpret your answer. [ HINT: See Example 3 of section 10.4.] b. Estimate the instantaneous rate of change of P ( t ) at t = 1 andinterpret your answer. [ HINT: See Example 2 (a).] c. The answer to part (a) and part (b) have opposite signs. What does this indicate about the price?
Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 0.4.5 t 2 − 15 t + 180 thousand dollars ( 0 ≤ t ≤ 5 ) , where t is time in years since the start of 2010. 66 a. Compute the average rate of change of P ( t ) over the interval [ 1 , 5 ] , and interpret your answer. [ HINT: See Example 3 of section 10.4.] b. Estimate the instantaneous rate of change of P ( t ) at t = 1 andinterpret your answer. [ HINT: See Example 2 (a).] c. The answer to part (a) and part (b) have opposite signs. What does this indicate about the price?
Solution Summary: The author calculates the average rate of change of the median price of home in U.S. in time interval left[1,5right].
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]
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SESSCALCET2 6.3.508.XP.
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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]
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SESSCALCET2 6.3.512.XP.
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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]
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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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SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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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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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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