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Calculus
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4 Jan 2018

4. If g(x) = sin( f (x) + 7), f(T) = 0, and f'(7) = 2, then g' (t) = (A) (B) 2 (C) 0 (D) -2 (E) none of the above

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Sixta Kovacek
Sixta KovacekLv2
7 Jan 2018

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Calculus
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15. If f'(x) = sin x + 6/7 and f(0) = 2, then f(n) = (A) 47 VT-1 (B) 4 +4 (C) 41 VT + 2 (D) 46 VT (E) none of the above

7.) Solve below:

a.

Find the average value of

f(x)=3^−x(5x−2)^2


on the interval [4, 7].

a) 5.35

b) 3.45

c) 1.78

d) 0

e) 8.06

f) None of the above

b.

The temperature in Minneapolis over a 12 hour period can be modeled by the function

C(t)=−0.05t^3+0.2t^2+2.8t+5.2


where t is measured in hours with t = 0 corresponding to the temperature at 12 noon. Find the average temperature during the period from noon until 8 p.m.

a) 0 degrees

b) 1.5 degrees

c) 14.3 degrees

d) 5.9 degrees

e) 114.1 degrees

f) None of the above

c.

Find the area bounded by the graph of f(x)=x^2−64 , the x-axis and the lines x=−5 and x=2.

a) 403.6667

b) 556.6667

c) 231.0000

d) 250.6667

e) 55.3333

f) None of the above

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