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mathematics
may 2018
14

Mathematics Questions and Answers May 14, 2018

Expert-verified solutions to help you succeed

Consider the following curve. y = 3 x 2 1 2 x + 1 Find the slope m of the tangent line at the point ( 5 , 1 6 ) . m = Find an equation of the tangent line to the curve at the point ( 5 , 1 6 ) . y =

Attempt 1 : 4 attempts remaining. Calculate the cross product assuming that

the line that contains points ( - ( 9 ) / ( 2 ) , 1 1 ) and ( - ( 1 ) / ( 2 ) , 8 ) has a slope of - ( 3 ) / ( 4 ) , which is parallel to the line that contains the points

The opposite of z is greater than 5 . a . What are two possible values of z ? What are two values that z cannot be ? What must be true about all possible values of z ? Show your work.

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 2 1 - 0 . 2 x ( for 0 x 1 0 5 ) , the price function for cars sold in Europe is q = 1 1 - 0 . 1 y ( for 0 y 1 1 0 ) , and the price function for cars sold in Asia is r = 1 2

Sketch the region bounded by the curves y = 2 x 2 , x + y = 8 and y = 1 then find the volume of the solid generated by revolving this region about the x - axis. 3 7 7 8 h 3 9 3 8 3 8 5 8 3 6 9 8 4 0 1 8

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