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Consider the two piecewise linear functions r and s given by the figure below. Determine each of the following derivative values that involve functions that
Consider the two piecewise linear functions r and s given by the figure below. Determine each of the following derivative values that involve functions that are defined in terms of r and s. Clearly show your work and thinking using proper notation, be sure your values are exact in light of the given information, and write one sentence to explain your overall approach. (i.) If M (x) = s(r(x)), determine the exact value of M'(2). Use proper notation and show all of your work and thinking. -1 (i.) If 7(x) = r(x*), determine the exact value of T*(-1). Use proper notation and show all of your work and thinking. -1 Evaluate the following definite integral exactly using the Fundamental Theorem of Calculus. Show your full work and thinking using proper notation. (sin (x) + 2ex - )
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