Question 1(Multiple Choice Worth 4 points) If the area under the curve of f(x) = 25 x2 from x = 4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate? O Underestimate O Overestimate O The area will be exact O The area cannot be estimated with just four rectangles 1:: Question 2(Multiple Choice Worth 4 points) Which of the following sums does not equal the others? 02(2-9 o if 0:0\") o if Question 3 (Fill-In-The-Blank Worth 4 points) Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. Answer to the nearest integer. Numerical Answers Expected! Answer for Blank 1:Question 4(Multiple Choice Worth 4 points) ID Write the summation to estimate the area under the curve y = 2x2 + 1 from x = 0 to x = 4 using 4 rectangles and left endpoints. o 29?\") 0 2(22'\") Question 5(Multiple Choice Worth 4 points) List X1, X2, X3, X4 where x; is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10. O 2, 4, 6, 8, 10 O 1, 3, 5, 7, 9 O0, 2, 4, 6, 8 O 1, 2, 3, 4, 5Question 1(Multiple Choice Worth 4 points) Use geometry to evaluate ( v16-x2 dx . O O 4TT O 8TT 16TTQuestion 2(Multiple Choice Worth 4 points) Write the Riemann sum to find the area under the graph of the function f(x) = x3 from x = 2 to x = 5. 04 ( 2 + 9 7 ) ( 3 ) O lim O lim 2 ( 2 + 31 ) (2 )Question 3(Multiple Choice Worth 4 points) The Riemann sum, lim Max Ax; -1=1 Ef xi Ax , , is equivalent to lim Ef(a + iAx ) Ax with Ax = b-a n Write the integral that produces the same value as lim > 3+15) 5. o j ( x ) ox o j ( * + 3 ) ox 0 1 ( 3 + 5 * ) dxQuestion 4 (Fill-In-The-Blank Worth 4 points) Use your calculator to evaluate ex dx . Give your answer to the nearest integer. Numerical Answers Expected! Answer for Blank 1:Question 5(Multiple Choice Worth 4 points) Use geometry to evaluate f f (x) dx for f(x) =$ 5. (10-X, X> 5 O 12.5 O 25 O 37.5 O Cannot be found2] Question 1(Multiple Choice Worth 4 points) I Evaluate the integral IWdX . oi 4x"+c 0 2x1\" +6 0 None of these O 9" ' 3 + O Question 2(Multiple Choice Worth 4 points) Evaluate the integral: J Ox 5x4-x2 +C 10 12 O 2x3 + 5x2 - 2 + C 4x3 15 2_2 3 2 X O x 5x4 x2 5 -+ C 4 2Question 3(Multiple Choice Worth 4 points) sin(x) Evaluate the integral 1- sin2 (x) . dx . O 2In|1 - sin2(x)| + C O-csc(x) + C O sec(x) + C None of these\fQuestion 5(Multiple Choice Worth 4 points) If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? [1(x)- 9(x) Jax = [t(x)dx-/9(x)dx o jf ( * ) dx = 2 / f ( * ) dx [1(x)g(x)Jax =[jf(x)dx jg(x)ax 0 1 3 + f ( x ) dx = 3 + jf ( * ) dx