Calculate the derivative of the function. Then find the value of the derivative as specified.f(x) = 
; f '(0)
A. f '(x) = 8; f '(0) = 8
B. f '(x) = - 8(x + 2)2; f '(0) = - 32
C. f '(x) = 
; f '(0) = 2
D. f '(x) = - 
; f '(0) = -2
Answer: D
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Evaluate the double integral over the given region.
R = {(x, y): 0 ? x ? 1, 0 ? y ? 1}
A. 
B. 
C. 
D. 
Solve the problem.A map shows that city A is 30 miles north of city B. A ruler shows that the cities are 2
inches apart on the map. How many actual miles are represented by each inch on the map?
A. 15 miles
B. 12 miles
C. 
miles
D. 450 miles
A college student earns $210.00 per week working three part-time jobs. Half of his 32.00-hour work week is spent cooking hamburgers at a fast-food chain, earning $5.00 per hour. In addition, the student earns $7.00 per hour working at a gas station and $10 per hour doing janitorial work. How many hours per week does the student work at each job? ? cooking: __________ hours ? pumping gas: __________ hours ? janitorial: __________ hours
What will be an ideal response?
Find the area.
A. 20 m2 B. 100 m2 C. 200 m2 D. 40 m2