4. The function f(x) has the value /(-1) = 1. The slope of the curve y'= f(x) at any point is given by the expression (2x +1)() +1). dx A. Write an equation for the line tangent to the curve y= /(x) at x=-1. B. Use the tangent line from part A to estimate f(-0.9).c. Use separation of variables to find an explicit or implicit formula for J-=f{xi, with no Integrals remaining. D. Find Iim fir]. Free Response Question 5 (no calculator) You may not use your calculator for this question. 5. The figure at right is the graph of f*(x), the second derivative of a function f(x). The domain of the function f(x) is all real numbers, and the graph above shows f"(x) for -3.65x53.6. -20 A. Find all values of x in the interval (-3.6,3.6) where f'(x) has a horizontal tangent. B. Find all values of x in the interval (-3.6,3.6) where f(x) is concave upward. Explain your answer.C. Suppose it is known that in the interval (-3.6,3.6), f(x) has critical points at x=1.37, and x=-.97 . Classify these points as relative maxima or minima of /(x). Explain your answer.Free Response Question 6 (no calculator) You may not use your calculator for this question. 6. Water is flowing at the rate of 50 m /min into a holding tank shaped like an cone, sitting vertex down. The tank's base diameter is 40 m and a height of 10 m. A. Write an expression for the rate of change of the water level with respect to time, in terms of h (the water's height in the tank). B. Assume that, at t = 0, the tank of water is empty. Find the water level, h, as a function of the time t. C. What is the rate of change of the radius of the cone with respect to time when the water is 8 meters deep