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7. Do not use Mathematica to arrive at any of your answers. Let c be a constant and f(x) be a piecewise function. In par
Posted: Thu Jul 14, 2022 4:10 pm
by answerhappygod
- 7 Do Not Use Mathematica To Arrive At Any Of Your Answers Let C Be A Constant And F X Be A Piecewise Function In Par 1 (27.96 KiB) Viewed 38 times
7. Do not use Mathematica to arrive at any of your answers. Let c be a constant and f(x) be a piecewise function. In particular, let f(x)={cx−42x2−c if x<2 if x≥2 (Note: Your answers/expressions for parts (a) - (c) will contain the constant "c".) (a) (2) Compute f(2). (b) (4) Determine x→2−limf(x). (c) (4) Determine x→2+limf(x). (d) (4) Using your TWO expressions you found from parts (7b) and (7c) you should conclude the value of c so that x→2limf(x) exists is 4 . How does this follow from your two expressions? (e) (4) Explain why f(x) is continuous at x=2 when c=4. [Bonus] Do not attempt this until you are comfortable with all your other answers. Suppose f(x)=x2sin2[tan(x)x2+3x−1]+x2cos2[tan(x)x2+3x−1]. Determine a simplified version of f′(x) without using Mathematica.