i need help with all of these questions, please and thank you so much
MTH 174, Fall 2016
Detailed solutions expected. Do not write your solutions on the question paper
Find the derivative of each function and simplify. (Do not use a calculator)
1. 2. x x 5
y ln 3
2 3. 5. x 1
g ( x ) log 5
2 f ( x ) 4sec1 ( x 4 ) 4. f ( x) x 3 33 x y tan 1 (sinh 2t ) 6.
y 2 x sinh 1 (2 x ) 1 4 x 2 Find each integral. (Do not use a calculator.)
7. 9. 1 x2e5 x dx
x x5 2 1 8. sin(ln x3 ) x dx 10. dx 2 8 x 9 x 8 dx x2 1 11. Find the area of the region bounded by the graphs of
y xe x2 .
, y 0, x 0, x 4 12. The base of a certain solid is the region in the xy-plane bounded by the parabolas
. Find the volume of the solid if each cross section perpendicular to the
x-axis is a square with its base in the xy-plane.
13. Find the volume of the solid formed by revolving the region bounded by the graphs of
about the x-axis.
y x 1
14. Find the exact volume of the solid formed by revolving the region bounded by the
about the x-axis.
y e x y 1
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