Answer only no need solution please ty

43-45. Refer to the problem below and answer the succeeding questions. An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 32 m per year at a time when the region is 270 m wide. How fast is the area changing at that point in time? [ Select ] . Which of the following variables will correctly represent the problem? A. length = r, width = 21, = = 32 B. length = 2x, width = =, d = 32 C. length = z, width = 21, d c, d= = 32 D. length = 2x, width = I, di = = 32 [ Select ] What is the appropriate equation for the missing rate? A dA = 41- de = 212 da de dt D. [ Select ] . How fast is the area changing at the given point in time? A. dy = 4665600 square meters per year B. = 4665600 square meters per year dA = 34560 square meters per year D. dy = 34560 square meters per year\fQuestion 32 What is the derivative of y = (-5x2 - 8x + 7)e2x? Oy = e 20 [2(-5x2 - 8x + 7) + (-10x - 8)] Oy' = e 3x[-2(-5x2 -8x + 7) + (-10x - 8)] O no correct answer Oy = e 3: [2(-5x2 - 8x + 7) + (-10x - 8)] Oy = e 2x [-2(-5x2 - 8x + 7) + (-101 - 8)]Question 30 H A normal line is a line that is perpendicular to the tangent line which touches a curve at one point (x, y). Suppose that the curve has an equation y - 2x4- 3x + 15, and the tangent line touches the curve at the point (2, 17). Write your answer in the form y = mx +by c+ (If the value is fraction, express it in 1 decimal place. Use "-" for negative values. Example: -0.5)What is the second derivative of the function y - -6 sin x cos x where x is ? Round your answer to the nearest whole number