hw 7 - x )) 50 x d x = d ) Z x 1 / 6 1 + x 1 / 3 d x = e )...

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Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 7 Due date: Oct. 28 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 We consider the function g ( x ) = e x - 2 - cos( x ). a ) Why is there a solution of g ( x ) = 0 between 0 and 1 ? b ) Use Newton’s method with x 0 = 0 to find this root. Stop when the difference between two consecutive iterations is less than 10 - 4 . The solution is approximatively Question 2 Compute the following integrals. a ) Z x 2 - 1 x 2 + 1 d x = b ) Z e x d x = c ) Z (1 + 3 ln(
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Unformatted text preview: x )) 50 x d x = d ) Z x 1 / 6 1 + x 1 / 3 d x = e ) Z ( x 2 + 1) sin(3 x ) d x = f ) Z e cos( x ) cos( x ) sin( x ) d x = 2 g ) Z ( x 3 + 2) ln( x ) d x = Question 3 Let p ( t ) be the position (in meters) of an object along a straight line at time t (in minutes). We know that the velocity of the object at time t is given by p ( t ) = t sin( t ). Find the position of the object after 15 minutes if initially the object is at 10 meters from the origin. The position after 10 minutes is...
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This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

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hw 7 - x )) 50 x d x = d ) Z x 1 / 6 1 + x 1 / 3 d x = e )...

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