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mathematics
january 2018
15

Mathematics Questions and Answers January 15, 2018

Expert-verified solutions to help you succeed

4 points ) Given f ( x ) = ln ( 2 x + 1 ^ ) 3 / ( 3 x 1 ^ ) 5 , Which of the following is the df dx ? . [ A ] df dx = 6 2 x + 1 1 5 3 x 1 [ B ] df dx = 3 2 x + 1 5 3 x 1 [ C ] df dx = 2 2 x + 1 3 3 x 1 [ D ] df dx = 3 ( 2 x + 1 ) 2 ( 3 x 1 ) 5 5 ( 2 x + 1 ) 3 ( 3 x 1 ) 4 ( 3 x 1 ) 1 0 ( II ) ( 4 points ) Given f ( x ) = x 2 1 x 2 x , which of the

Evaluate the indefinite integral \ int \ frac { e ^ { x + 4 } } { 4 } dx .

The temperature at the point ( x , y , z ) in a substance with conductivity K = 7 . 5 is u ( x , y , z ) = 3 y 2 + 3 z 2 . Find the rate of heat flow inward across the cylindrical surface y 2 + z 2 = 3 , 0 x 4 .

Determine the equation of the line passing through the point ( 2 , 1 1 ) , with a slope of m = 8 . Put your answer in slope - intercept form

Find the mass of a thin funnel in the shape of a cone z = x 2 + y 2 2 , 1 z 3 , if its density function is ( x , y , z ) = 9 - z .

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