2] Question 1(Multiple Choice Worth 4 points) I The slope of the tangent line to a curve at any point (x, y) on the curve is 5. What is the equation of the curve if (3, 1) is a point on the curve? 0 x2 + y = 8 O x + y = 8 Oxz-y2=8 n - for which y(0) = 80 is Oy = 80e2t Oy = 80 e0.5t Oy = 79 + et Oy = 80e-0.5tQuestion 1(Multiple Choice Worth 4 points) on dy _ x The differential equation ax I. will have a slope field with negative slopes in quadrant I Il. will have a slope field with positive slopes in all quadrants Ill. will produce a slope field with columns of parallel tangents OI only O II only O Ill only O None of theseQuestion 2(Multiple Choice Worth 4 points) The differential equation = d. dx x 3 |. produces a slope field with horizontal tangents at y = 3 ||. produces a slope eld with vertical tangents at y = 3 III. produces a slope eld with rows of parallel segments 0 | only 0 || only 0 | and H 0 I" only [[2] Question 3(Muliiple Choice Worth 4 points) Which of the following differential equations is consistent with the following slope eld? [Cl Question 4(Multiple Choice Worth 4 points) A differential equation that is a function of y only O will produce a slope field with parallel tangents along the diagonal O will produce a slope field that does not have rows or columns of parallel tangents O will produce a slope field with rows of parallel tangents O will produce a slope field with columns of parallel tangentsQuestion 5(Multiple Choice Worth 4 points) Choose the appropriate table for the differential equation %= x 00.5 2 2 5 undened dx x 0 0.5 2 % undefined 5 2 O x o 0.5 2 % undefined 4 2 O Cannot be found without solving the differential equation x+2 x [C] "U Questlon 1(Multiple Choice Worth 4 points) 1 Which of the following values would be obtained using 5 midpoint rectangles of equal width to estimate gxzdx? O 0.24 O 0.33 O 0.36 Question 2 (Fill-ln-The-Blank Worth 4 points) Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of 19 | flxldx. '1 x13467910 f(x) 4 8 610101216 Numerical Answers Expected! Answer for Blank 1: [L3 Question 3(Multiple Choice Worth 4 points) The estimated value of x2dx, using the trapezoidal rule with 4 trapezoids is O 2.75 5.50 O 1.88 O 3.75Question 4(Multiple Choice Worth 4 points) Which definite integral approximation formula is f(x)dx = -aly, + yz + y3 +...+ yn_1+yn]? O Left rectangles O Right rectangles O Average rate of change O Trapezoidal ruleQuestion 5(Multiple Choice Worth 4 points) it:j Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the upper sum, lower sum, and trapezoidal b. rule approximations for the value of l f(x)dx. Which one of the following statements is true? "a C Lower sum