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please indicate which option is correct in each problem with a clear explanation .. thanks If w'(t) is the rate of growth of Mira's weight

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please indicate which option is correct in each problem with a clear explanation .. thanks

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If w'(t) is the rate of growth of Mira's weight 1. average of Mira's weight from age 5 to 8 (in pounds per year), what does the integral O 2. Mira's weight at age 8 I = . w(t) dt 3. increase in Mira's weight from age 5 to 8 represent? 4. decrease in Mira's weight from age 5 to 8 5. Mira's weight at age 50 1 1 = - Evaluate the integral 0 2. 1 = 1 = / 3x (x2 - 1)5 dx . 0 3. I = 101 k 04.1= 0 5. 1 = 10 0 6. 1 =Evaluate the integral 01. 1 = 7 TT /2 I = sina {f'(cos x) + 3} da O 2. I = 6 0 3. I = 9 when f(0) = 1 and f(1) = 5. 04. 1 = 5 0 5. 1 = 8O 1. V = Find the volume, V, of the solid obtained by rotating the region bounded by 2. V : 2 x = 2, x = 5, y =0 y = 0 3. V = about the r-axis. O A. V = 10 6 0 5. V = 3 0 6. V = 10

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