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MATH102 midterm1

# MATH102 midterm1 - IS ¸IK UNIVERSITY MATH 102 MIDTERM EXAM...

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March 25, 2011 IS ¸IK UNIVERSITY, MATH 102 MIDTERM EXAM I Q1 Q2 Student ID: First Name: Last Name: Row #: Q1. (13 pt) Evaluate the integral x 2 4 - x 2 dx .

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Q2. Test the following integrals for convergence and divergence. (a) (7 pt) π 2 + cos x x dx (b) (7 pt) 2 x 3 x 7 - 2 x dx
March 25, 2011 IS ¸IK UNIVERSITY, MATH 102 MIDTERM EXAM I Q3 Q4 Q5 Student ID: First Name: Last Name: Row #: Q3. (10 pt) If y = cosh(ln x ) + tanh 2 (3 x + 1), find y . Q4. (9 pt) Evaluate the improper integral π/ 4 0 cos x sin x dx .

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Q5. (10 pt) Evaluate the integral x + x 2 ( x - 1)( x 2 + 1) dx

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Unformatted text preview: IS ¸IK UNIVERSITY, MATH 102 MIDTERM EXAM I Q6 Q7 Q8 Q9 Student ID: First Name: Last Name: Row #: Q6. (10 pt) Evaluate the integral Z tan x sec 4 x dx . Q7. (11 pt) Evaluate the integral Z x 3 + 2 x 2-2 x dx . Q8. (a) (7 pt) Use the deﬁnition of cosh x and sinh x to show that cosh 2 x-sinh 2 x = 1. (b) (6 pt) Let cosh x = 2 ( x > 0). Then ﬁnd tanh x . Q9. (10 pt) Evaluate the integral Z ln 3 x x 2 dx ....
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