Find the general solution for the first-order differential equation. K dy = 28x dx . . . The general solution isWhich of the rectangles below are left rectangles? K Ay 25 20- 15-4 10- A B CDEX 5 10 15 20 25 Select all of the left rectangles below. A. Rectangle A B. Rectangle D C. Rectangle E D. Rectangle C E. Rectangle B OF. There are no left rectangles.Evaluate the integral. K N x - 3 -dx 0X - 6x + 10 . . . N x - 3 -dx ~ x2 - 6x + 10 (Type an integer or decimal rounded to three decimal places as needed.)Evaluate the integral. K e-0.125X dx - 2 Je - 0. 125x dx = [ - 2 (Type an integer or decimal rounded to three decimal places as needed.)Find the particular antiderivative of the following derivative that satisfies the given condition. K dR 40 dt R(1) = 72 . . . R =\fK A company manufactures mountain bikes. The research department produced the marginal cost function C'(x) = 200 - -, 0 sx$ 900, where C'(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 0 bikes per month to 720 bikes per month. Set up a definite integral and evaluate it. Set up the definite integral. dx The increase in cost is $. (Round to the nearest dollar as needed.)This question: 6 point(s) possible Submit test K For the function f(x) = - 4x2 - 2, do the following. (A) Find the average value of f(x) on the interval [0, 2]. (B) Use a graphing calculator to graph the function and its average value over the interval [0, 2] in the same viewing window. (A) Find the average value of f(x) on the interval [0, 2]. The average value is . (Type an integer or a simplified fraction.) (B) Use a graphing calculator to graph the function and its average value over the interval [0, 2] in the same viewing window. Choose the correct graph below. O A. O B. O c. OD