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Question 1(Multiple Choice Worth 4 points) If the area under the curve of f(x) = x2 + 2 from x = 1 to x =
Question 1(Multiple Choice Worth 4 points) If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right 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 five rectangles [E2] Question 2(Multiple Choice Worth 4 points) [:1 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. 0 2pm) Question 3(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 4(Multiple Choice Worth 4 points) Which of the following sums does not equal the others? a O 2;? 5. 2 0 g? 4 O ; i+1 ,F ( ) . 0 1L1\" '3 3 "U Question 5 (Fill-In-The-Blank Worth 4 points) Estimate the area under the curve f(x) = x2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to the nearest integer. Numerical Answers Expected! Answer for Blank 1:Question 1(Multiple Choice Worth 4 points) Use geometry to evaluate ( 16-x2 dx . O O 4TT O 8TT O 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. 0 4 ( 2 + 51 ) ( 3) O lim = ( 2+ 7 ) (9 )Question 3(Multiple Choice Worth 4 points) The Riemann sum, lim Max Ax; -1 Efxi Ax, , is equivalent to lim Ef(a+ i4x) Ax with Ax = b-a n Write the integral that produces the same value as lim > 3+15 ) 0 1 ( * 2 ) ax | ( * + 3 ) Ox 0 / ( 3 + 5 * ) dxQuestion 4 (Fill-In-The-Blank Worth 4 points) Use your calculator to evaluate fex dx . Give your answer to the nearest integer. Numerical Answers Expected! Answer for Blank 1:0 Question 5(Multiple Choice Worth 4 points) I Use geometry to evaluate ne integral from 0 to 10 of the function f of x, dx for f(x)- {:6 x. 1:55. 012.5 0 37.5 0 Cannot be found Question 1(Multiple Choice Worth 4 points) Given that the antiderivative of f(x) = e4x is F(x) = 1e4x +C, evaluate fex dx. O e8 0 4 (1-e ) 0 4 (e -1 ) 01Question 2(Multiple Choice Worth 4 points) Evaluate | |x + 2)dx . O -2.5 O 1.5 O 2.5 0 3Question 3(Multiple Choice Worth 4 points) Find d dy [In(t) at . O 2xin(x2) O XIN O In(x 2)\fQuestion 5(Multiple Choice Worth 4 points) Determine the interval on which f(x) = In(x) is integrable. O (0, 00) O [0, 00) O ( -00, 0 ) U ( 0 , 00 ) O All reals
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