4. Consider the following function f(1) = - 15 (a) Find the average value of f on the interval [1,4]. 3 (b) Find the value(s) of c that is guaranteed the Mean Value Theorem for Integrals. € 31 (c) Sketch the graph of f on [1,4] and a rectangle whose area is the same as the area under the graph of f. 5. Evaluate the following: (a) Find the length of the curve y 1 on the interval (1,2]. 2r2 16 5 a (b) Find the arc length function of y = sin 'I + V1 - ?? with starting point (0,1). [5]
4. Consider the following function f(1) = - 15 (a) Find the average value of f on the interval [1,4]. 3 (b) Find the value(s) of c that is guaranteed the Mean Value Theorem for Integrals. € 31 (c) Sketch the graph of f on [1,4] and a rectangle whose area is the same as the area under the graph of f. 5. Evaluate the following: (a) Find the length of the curve y 1 on the interval (1,2]. 2r2 16 5 a (b) Find the arc length function of y = sin 'I + V1 - ?? with starting point (0,1). [5]
4. Consider the following function f(1) = - 15 (a) Find the average value of f on the interval [1,4]. 3 (b) Find the val
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4. Consider the following function f(1) = - 15 (a) Find the average value of f on the interval [1,4]. 3 (b) Find the val
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