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The variables x and y are such that y =2x3 - 2x2 -...

The variables x and y are such that y =2x3 - 2x2 - 5x + 5. Calculate the corresponding change in y and x changes from 2.00 to 2.05.

A.

0.58

B.

0.95

C.

1.48

D.

1.95

Correct answer is A

When x = 2

y = 2(2)3 - 2(2)2 

-5(2) + 5

y = 16 - 8 - 10 + 5

y = 3 

 

when x = 2.05 

y = 2(2.105)3 - 2(2.05)2

- 5(2.05) + 5

y = 17.23 - 8.405 - 10.25 + 5

y = 3.575 - 3

Difference = 3.575 - 3

= 0.58