# GHW10 - 1 1 ) ( 2 + = x x f over the interval [0,4] with 4...

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MATH 2413 GHW 10 Fall 2011 Due 11/14 in Lecture Work is to be done in a Blue book per the syllabus Note: each part of problems 1 and 2 is valued at 1 point, no partial credit. 1. (4 pts) Find the most general antiderivative of the function. (a) x x x x f 7 12 ) ( 2 3 3 1 + = (b) () 2 3 ) ( = x x f x x 3 5 + (c) 2 2 ) ( + = x x x f (d) 2 2 3 1 1 3 3 ) ( x x x x x f + + = (divide) 2. (5 pts) Find the antiderivative (indefinite integral) (a) dt t t e t ) cot csc ( 1 + + (b) dx x x x 3 2 2 3 2 + (c) () dx x x 2 tan sec (d) θ d 2 cos 3 cos (e) dx x 2 1 1 3. (6 pts) Find f given that () x x x f 2 5 ) ( ' = and 2 3 ) 1 ( = f 4. (8 pts) A stone was thrown upward from the surface of Titan (the largest moon of the planet Saturn) with velocity 6 meters per second. Find the maximum height (round to two decimal places) of the stone given that the acceleration due to gravity on the surface of Titan is 2 35 . 1 s m . Page 1 of 2

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Section 5.1 5. (8 pts) Approximate the area under the function
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Unformatted text preview: 1 1 ) ( 2 + = x x f over the interval [0,4] with 4 = n . Round your result to two decimal places. Note: carry any intermediate calculations to 4 decimal places. (a) the right hand endpoint of each subinterval i.e. the sum in the text. 4 R (b) the left hand endpoint of each subinterval i.e. the sum in the text. 4 L Section 5.2 6. (3 pts) If and ∫ 9 10 ) ( = dx x f ∫ 9 4 7 ) ( − = dx x f , find ∫ 4 dx x f ) ( 7. Evaluate the integral by interpreting it in terms of area. hint: sketch the region indicated by the integrand and limits of integration. You may also want to consider the fact that the integral of a sum is the sum of the integrals provided they exist. (a) (3 pts) (b) (3 pts) ∫ 5 dx x ) 2 4 ( − ∫ − 3 dx x ) 9 5 ( 2 − + Page 2 of 2...
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## This note was uploaded on 11/16/2011 for the course MATH 2413 taught by Professor . during the Fall '11 term at University of Texas at Dallas, Richardson.

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GHW10 - 1 1 ) ( 2 + = x x f over the interval [0,4] with 4...

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