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Use Euler's method with step size 0.25 to estimate y(1), where y(x) is the solution of the initial-value problem. Round your answer to four decimal places. y' = 3x + y, y(0) = 0 a. y(1) = 2.2154 b. y(1) = 3.7154 c. y(1) = 2.7154 d. y(1) = 1.2154 e. y(1) = 3.2154 Solve the differential equation. du dt = 63 + Ju + 7t+ ut a. u = -7+ Ce 2 - 9t b. u = - 7+ Cot - 91 1 2 c. u = - 7+ Ce 2 + 9t 1 2 d. u = - 7+ Cp 2 + 912 e. u = - 7+ Cet + 9tThe graph of the following curve is given. Find the area that it encloses. r =1+55in66 {1.14: 272 5 27 b.A=7n 34:18:? d A= IT+ 272 5 27 e.A=1811:+ Suppose that a population develops according to the logistic equation '31? = 0.03P 0.0003132, where t is measured in weeks. What is the carrying capacity? a_ M=0.03 b, M=300 C_ M=0.0003 (1M: 100 e_ M=400 18, 5\" 3 . Determine the Cartesian coordinates of the point. The polar coordinates of a point are a. [9, 9] b. [9a 9] c. [9, 9) d. [$5, 9] e. [9, WE] Find the slope of the tangent line to the polar curve r = 1 - sin40 at 0 = TT 4 a. w / ur b. 4 C. 2 d. 4 51/3+4 e. 1-41/3