108Fall12Ex1VersionA

1 3 pts find the slope of the line tangent to f x

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Unformatted text preview: x () 8. Let R be the region bounded by the graphs of y = sin x 2 and the x-axis on the (3 pts.) interval ⎡0, π ⎤ . Which integral correctly computes the volume of the solid ⎣ ⎦ formed when R is rotated around the x − axis? a) 2π π ∫ x sin ( x ) dx 2 2 0 1 () b) π ∫ sin 2 y 2 dy 0 c) π π ∫ sin ( x ) dx 2 2 d) 2π 0 π ∫ sin ( x ) dx 2 2 0 9. x2 (3 pts.) Evaluate ∫ ( 2 x ) 5 dx . 2 a) 5 x + C 2 1 c) 5 x + C 2 ln 5 x b) ( ln 5 ) 5 x + C 2 d) 1 x2 5 + C ln 5 3 MthSc 108 Test 1-Version A Fall 2012 10. (3 pts.) Express 3 ln ( cos x ) − ln x 2 + 1 + ( ln 4 ) log 4 ( 3x ) as a natural logarithm of a single ( ) quantity. ( ) a) ln 3 cos x − ( x 2 + 2 ) + 12 x ⎛ ( 3x )ln 4 cos 3 x ⎞ c) ln ⎜ x2 + 1 ⎟ ⎝ ⎠ ⎛ cos 3 x ⎞ b) ln ⎜ 3x + 2 x +1⎟ ⎝ ⎠ ⎛ 3x cos 3 x ⎞ d) ln ⎜ 2 ⎝ x + 1 ⎟ ⎠ 11. −1 (3 pts.) Find the slope of the line tangent to f ( x ) = sec ( 3x ) when x = 1 . 1 10 a) b) 1 8 3 c) 8 d) It is not defined. Which integral gives the correct volume when the region bounded by the x- axis, 12. (3 pts.) f ( x ), g ( x ), and h( x ) is rotated about the y- axis? b a) ∫ 2π xh( x ) dx b b) ∫ 2π...
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This note was uploaded on 10/17/2013 for the course MTHS 1080 taught by Professor Briggs during the Fall '13 term at Clemson.

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