The variables x and y are such that y =2x\(^3\) - 2x\(^2\) - 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
waec 2020furthermathematics

The correct answer is A. 0.58

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

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