Optional 3 Practice

1) Polynomial S is given below.  Appropriately initialize the variable 'dydx' that represents the instantaneous rate of change for Polynomial S at x = 1.

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2) Polynomial S is given below.  Appropriately initialize the variable area that represents the area under the curve from x = 1 to x = 3.  Use a left-hand approximation with two rectangles (each with width 1).

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3) Polynomial T is given below.  Appropriately initialize the variable dydx that represents the instantaneous rate of change for Polynomial T at x = 3.

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4) Polynomial T is given below.  Appropriately initialize the variable area that represents the area under the curve from x = 0 to x = 3.  Use a right-hand approximation with three rectangles (each with width 1).

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5) The Polynomial V: Y = 5x^4 + 2x^2 - 3 has coefficient array [-3, 0, 2, 0, 5].  Appropriately initialize an array called 'deriv' which holds the coefficients of the derivative of T.