Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = csc u, u = x5 + 10x
A. -(5x4 + 10) csc x cot x
B. -(5x4 + 10) cot2(x5 + 10x)
C. -(5x4 + 10) csc (x5 + 10x) cot (x5 + 10x)
D. - csc (x5 + 10x) cot (x5 + 10x)
Answer: C
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Solve.The price of commodities, like pork bellies, is determined by supply and demand. Thus, the price of pork bellies is a function of the number of pounds of pork bellies produced. The price of a pound of pork bellies can be estimated by the function f(Q) = - 0.000003Q + 0.85, 10,000 ? Q ? 80,000where f(Q) is the price of a pound of pork bellies and Q is the annual number of pounds of pork bellies produced.i) Construct a graph showing the relationship between the number of pounds of pork bellies produced and the price of a pound of pork bellies.ii) Estimate the cost of a pound of pork bellies if 70,000 pounds of pork bellies are produced in a given year.
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A. i)
ii) $0.64 per pound
B.
| i) |
ii) $1.06 per pound
C. i)
ii) $1.06 per pound
D. i)
ii) $0.64 per pound
Expand the expression using the Binomial Theorem.(x + 2)6
A. x6 + 12x5 + 64x4 + 40x3 + 64x2 + 12x + 2 B. x6 + 12x5 + 60x4 + 160x3 + 240x2 + 192x + 64 C. x6 + 12x5 + 24x4 + 36x3 + 24x2 + 12x + 2 D. x6 + 12x5 + 48x4 + 144x3 + 192x2 + 192x + 64
Determine the slope and y-intercept of the function.F(x) = - 
x
A. m = -3; b = 0
B. m = 0; b = - 
C. m = - 
; b = 0
D. m = 
; b = 0
Graph the function.y = 
A. 
B. 
C. 
D. 