When the price of a glass of lemonade at a lemonade stand was $1.75, 400 glasses were sold. When the price was lowered to $1.50, 500 glasses were sold. Assume that the demand function is linear and that the marginal and fixed costs are $0.10 and $ 25, respectively. Find the marginal profit when 300 glasses of lemonade are sold and when 700 glasses of lemonade are sold.
?
A. ?
, 
B. ?
, 
C. ?, 
D. ?
, 
E. ??
,
Answer: A
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In a certain lake the intensity of light from the surface decreases by 40% for each additional meter of depth.
?
A: Explain why light intensity is an exponential function of depth.
?
B: Using 
for intensity at the surface of the lake, write a formula that gives the intensity I of light ?d meters below the surface.
?
C: At what depth will light intensity be one tenth of surface intensity? Round your answer to two decimal places if necessary.
?
What will be an ideal response?
Rewrite the given integral so that it fits the form 
, and identify u, du, and n.
A. 
; u = ln x, du = 
, n = 8
B. 
; u = x, du = ln8x dx, n = -1
C. 
; u = ln x, du = 
, n = -8
D. 
; u = ln8x, du = 
, n = -1
Solve.8x(x - 2) - 20 = 5x(x - 4)
A. - 
, 2
B. -10, 2
C. - 
, -2
D. 
, -2
Suppose f and g are functions that are differentiable at x = 6 and that ?f?(5) = 1, ?f? '(5) = -1, ?g?(5) = -2, and g'?(5) = 5. Find the value of ?h? '(5).
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What will be an ideal response?