Question: rm ullullyuu uu n..u 1. (06.02 Ho) A continuously increasing function that is concave up on the interval [0, 4] is represented by the table.

rm ullullyuu uu n..u 1. (06.02 Ho) A continuously increasing function that is concave up on the interval [0, 4] is represented by the table. x o 1.9 2.1 3.4 4 f(x) -16 12.39 11.59

4.44 0 Part A: Find the right Riemann sum estimate I; f(

10," using the subintervals given in the table. (10 points) Part B:

rm ullullyuu uu n..u 1. (06.02 Ho) A continuously increasing function that is concave up on the interval [0, 4] is represented by the table. x o 1.9 2.1 3.4 4 f(x) -16 12.39 11.59 4.44 0 Part A: Find the right Riemann sum estimate I; f( 10," using the subintervals given in the table. (10 points) Part B: Find the left Riemann sum estimate of I; f(x)dx, using the subintervals given in the table. (10 points) Part C: Find the trapezoidal estimate of I; fond," using the subintervals given in the table. (15 points) Part D: Determine whether the right Riemann sum estimate is an overestimate or an underestimate, based on the properties of the function. (5 points) 2. (06.08, 06.09 HC) For In(3x2) dx. Part A: Rewrite the integral using substitution as the product of two functions in order to find the antiderivative. (15 points) Part B: Find the antiderivative. (15 points)3. (06.06 HC) Let there exist an antiderivative F such that F(x) = I; gala. Find the value of x such that F(x) = 4. Justify your work. (30 points)

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