Prison Population The following curve is a model of the total U.S. prison population as a function of time in years. Time (year since 2000) a. Which is correct? Over the period [ 5 , 10 ] theinstantaneous rate of change of N is (A) increasing. (B) decreasing. b. Which is correct? The instantaneous rate of change of prison population at t = 4 was (A) less than (B) greater than (C) approximately equal to the average rate of change over the interval [ 0 , 10 ] . c. Which is correct? Over the period [ 0 , 10 ] theinstantaneous rate of change N is (A) increasing, then decreasing. (B) decreasing, then increasing. (C) always increasing. (D) always decreasing. d. According to the model, the U.S. prison population was increasing fastest around what year? e. Roughly estimate the instantaneous rate of change of N at t = 4 byusing a balanced difference quotient with h = 1.5 . Interpret the result
Prison Population The following curve is a model of the total U.S. prison population as a function of time in years. Time (year since 2000) a. Which is correct? Over the period [ 5 , 10 ] theinstantaneous rate of change of N is (A) increasing. (B) decreasing. b. Which is correct? The instantaneous rate of change of prison population at t = 4 was (A) less than (B) greater than (C) approximately equal to the average rate of change over the interval [ 0 , 10 ] . c. Which is correct? Over the period [ 0 , 10 ] theinstantaneous rate of change N is (A) increasing, then decreasing. (B) decreasing, then increasing. (C) always increasing. (D) always decreasing. d. According to the model, the U.S. prison population was increasing fastest around what year? e. Roughly estimate the instantaneous rate of change of N at t = 4 byusing a balanced difference quotient with h = 1.5 . Interpret the result
Solution Summary: The author determines the correct option for the instantaneous rate of change of number of prisoners in time interval left[5,10right] in U.S.
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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7. [-/1 Points]
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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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