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# hw 4 - x 10-2-1 1 2-2 2 x 3-2-1 1 2-5 5 x 8-2-1 1 2-2 2 x...

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Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 4 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 Compute the derivative of the following functions. a ) f ( x ) = - cos 2 (1 - 3 x ) b ) h ( t ) = 1 sin(3 t 2 ) c ) g ( x ) = x - e 2 x 1 - xe 2 x d ) f ( y ) = cos( x 2 + 4) Don’t forget to simplify the results as much as possible. Answer : a ) f ( x ) = b ) h ( t ) = c ) g ( x ) = d ) f ( y ) = Question 2 If f ( x ) = x + 2 e x , Fnd the value of g (1 + 2 e ), where g ( x ) = f 1 ( x ) for all x . Answer : g (1 + 2 e ) =

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2 Question 3 Find the equation of the tangent line to the curve y = xe x cos( x ) at x = π . Answer : Question 4 A clumsy mathematician drops on the ±oor the following ²gures. -2 -1 0 1 2 -2 0 2 4 6 8 x y 5 -2 -1 0 1 2 0 5 10 15
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Unformatted text preview: x 10-2-1 1 2-2 2 x 3-2-1 1 2-5 5 x 8-2-1 1 2-2 2 x 2-2-1 1 2-2 2 x 6-2-1 1 2-2 2 x 7-2-1 1 2-2 2 x 4-2-1 1 2-2 2 x 9-2-1 1 2-5 5 x 1 Answer : n 1 n 2 Five of the ²gures represent the graphs of functions and the other ²ve represent the graphs of the derivative of these functions. Write down the pairs ( n 1 , n 2 ), where n 1 is the number of the ²gure associated to the graph of a fonction f and n 2 is the number of the ²gure associated to the graphe of the derivative f ′ of the function. You cannot use a fgure more than once ....
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hw 4 - x 10-2-1 1 2-2 2 x 3-2-1 1 2-5 5 x 8-2-1 1 2-2 2 x...

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