Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function f ( t ) = − 5 t 2 + 50 − 80 degreesFahrenheit ( 0 ≤ t ≤ 4 ) . 58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function f ( t ) = − 5 t 2 + 50 − 80 degreesFahrenheit ( 0 ≤ t ≤ 4 ) . 58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
Solution Summary: The author calculates the temperature at 7:00 am and the rate of rise at the base of Olympus Mons.
Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function
f
(
t
)
=
−
5
t
2
+
50
−
80
degreesFahrenheit
(
0
≤
t
≤
4
)
.58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
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
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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]
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]
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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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8. [-/1 Points] DETAILS
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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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