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Unformatted text preview: ◦ F per minute. ±ind the time required for the temperature of the person to drop 40 ◦ F (ending up at 58 . 6 ◦ F ). 3. (15 points) ±ind the most general solution to the following indeFnite in-tegrals: (a) i e √ x dx = (Hint: try substituting w = √ x ) (b) i x r 1-x 4 dx = (c) i dx x 2-1 = 4. (5 points) ±ind the following number: i x = π x =0 sin 2 ( x ) cos(2 x ) dx = 5. (5 points) (a) Estimate the number i x =1 x =0 e ( x 2 ) dx using the trapezoid rule with two intervals. (b) Find a bound for the error in your estimate. (Recall that the error for the trapezoid method using n intervals from a to b is bounded by M ( b − a ) 3 12 n 2 if the second derivative of the integrand is bounded in absolute value by M .)...
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