Assignment:
Please choose the correct answer and show the process:
Q1. Find the equation of the tangent line to y = 2 ln x at the point where x = 8.
y = x/2 - 1 + ln 2
y = x/2 - 1 + 2 ln 2
y = x/4 - 1 + ln 2
y = x/4 - 2 + 6 ln 2
y = x/8 - 1 + ln 2
y = x/8 - 1 + 2 ln 2
y = x/8 - 1 + 3 ln 2
none of these
Q2. Acme estimates marginal revenue on a product to be 200q-1/3 dollars per unit when the level of production is q units. The corresponding marginal cost is 2q dollars per unit. Suppose the profit is $250 when the level of production is 1 unit. What is Acme's profit when 8 units are produced?
(Note: P'(t) = R'(t) - C'(t) and P(0) = 0)
$937
$987
$1037
$1087
$1137
$1187
$1237
none of these
Q3. True or False: x^14/14 + sqrt (13) + e^x is an antiderivative of x^13 + e^x
True
False