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# Important information about calculus questions

1. 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

10. 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

20. True or False: x^14/14 + sqrt (13) + e^x is an antiderivative of x^13 + e^x

True
False

See attached file for full problem description.

#### Solution Preview

1. 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

Remember that a line has the form y = mx + b. The slope of the tangent line will ...

#### Solution Summary

The problem set consists of three questions. These questions are about tangent lines and integration.

\$2.19