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Unformatted text preview: Test 3 InClass Review Problems 1. Find the derivative of the function: ln(Ö(x)  8) 2. Find an equation of the tangent line to the graph of y =
ln(x2 )
at the point (7, ln(49) ) 3. Find the derivative
of the function f(t) = ln ( t–9
4t + 8 ) 4. Find the indefinite integral ò (4t3/2 + t1/2 – 5t 1/2) dt 5. ò 3x (6x2 + 7)3 dx 6. ò __x8______ dx NOTE: Do NOT use log; use ln
(5x9 + 11) • 9 Find the area of the region under the graph of the
function f(x) = Öx on the interval [4,9] • Ans: 38/3 • 10. Carlota Music Company estimates that the marginal
cost of manufacturing its Professional Series guitars is
given by the following in dollars/month when the level of
production is x guitars/month. C '(x) = 0.007x + 80 . The
fixed costs incurred by Carlota are $6000/month. Find
the total monthly cost C(x) incurred by Carlota in
manufacturing x guitars/month.
C(x) = 0.0035x^2 + 80x + 6000 • 1113 1416 17. Find f (x) by solving the initial value problem. f '(x) =
9x2  8x; f(2) = 17
Ans: f(x) = 3x3  4x2 + 9 18, 19 20 Find the indefinite integral (6x5 +2) / (x6 +2x)3 dx 21,22 23. Evaluate the definite integral. 16/15 24. 25. ...
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This note was uploaded on 02/02/2012 for the course HIST 1003 taught by Professor Zucker during the Spring '08 term at LSU.
 Spring '08
 Zucker

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