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.