THIS IS FOR CALCULAS PLEASE ASNWER CEALRY WITH ALL STEPS USED

Question 1: Set up the integral to find the area bounded by x = =y - 3. and x = y+1 X=y-3 2 1 x = y+1 2 3 4 5 X -2 -3 -4Question 2: Consider f(x) = x3 +33;2 +16 and g(x) =4x2- a. Sketch a graph of the region(s) bounded by the two curves. b. Determine the points of intersection. c. Set up the integrals needed to find the area of the regions bounded by theE two eurves. Question 3: Find a bound on the error in approximationg each definite integral using the Trapezoidal Rule. e *dx, n = 8 0Question 4: Let f(x, y) = xlny + ylnx. Find f(1, 1), f(1, e), f(e, 1), and f(e, e).Question 5: The current dividend yield for common stock is calculated using the formula Y=f(D,P)=% where D is the most recent full-year dividend (in dollars) and P is the current share price (in dollars). The annualized dividend of a corporation for the year 2019 was $4 and its price per share was $197.21 on April 7, 2020. What was the current dividend yield for the common stock at the time? Convert the decimal answer obtained for the current dividend yield into a percent. \fQuestion 7: find the second-order partial derivatives of the function. In each case, show that the mixed partial derivatives fry and fyx are equal. f(x, y) = In(1+ x2y2)