#### Question Details

(solution) i need help with all of these questions, please and thank you so

i need help with all of these questions, please and thank you so much

MTH 174, Fall 2016

QUIZ 1

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

x 5

2 3. 5. x 1

g ( x ) log 5

x

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

and

. Find the volume of the solid if each cross section perpendicular to the

y x2

x y2

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

and

about the x-axis.

2

y 0

y x 1

14. Find the exact volume of the solid formed by revolving the region bounded by the

graphs of

,

and

about the x-axis.

x4

y e x y 1

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