108Fall12Ex1VersionASolutions

3 pts find the equation of a curve that passes through

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Unformatted text preview: b) cos + cos ⎜ csc 2 2⎟ ⎝ ⎠ c) 3. (3 pts.) ( π 6 To evaluate the integral ∫ ) d) cos csc 3 dx with a substitution, what would be a good x − x +1 2 choice for u? a) x 2 − x + 1 c) x 2 b) x − 1 d) *** x − 1 2 1 MthSc 108 Test 1-Version A Fall 2012 4. (3 pts.) Which of the following is NOT true regarding the regions depicted in the graph below? 5+ 5 6 a) A = ∫ [ f ( x ) − g( x )] dx b) A + B + C = 7 c) *** B = ∫ [ g( x ) − h( x )] dx 3 f ( x ) dx A+ B = ∫ [ f ( x ) − h( x )] dx 2 3 5 d) ∫ 5− 5 4 5. (3 pts.) Find the equation of a curve that passes through the point (1, e) and has an arc 5 2 length on the interval [ 0.5, 5 ] given by the integral ∫ 1 + 4 dx . x 0.5 2 a) y = e + 2 − 4 x b) y = e − 2 + c) y = e + 2 − 2 x2 2 x4 d) *** y = e + 2...
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