QUESTION 1

Find an equation of the curve whose tangent line has a slope of f'(x) = 2x_14f15 given that the point ( - 1, -2) is on the curve. E> The function f(x) satisfying f'(x} = 2x_ 1'" 15 (Type an exact answer.) and f(- 1): -2 isf(x)= The sales of a small company were $47,000 in its third year of operation and $75,000 in its fth year. Let y represent sales in the xth year of operation. Assume that the data can be approximated by a straight line. (a) Find the slope of the sales line, and give an equation for the line in the form y = mx + b. (b) Use your answer from part (b) to nd out how many years must pass before the sales surpass $120,000. (a) The slope is El and the equation is y = D): + E. (Type integers or decimals.) (b) The sales will surpass $120,000 in years. (Round up to the nearest year.) Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. 10 3 E312 f(x)=-?x -?x -6x+3 Select the correct choice below and, if necessary, ll in any answer boxes within your choice. U A- There are no relative maxima. The function has a relative minimum of at x = (Use a comma to separate answers as needed.) U 3- There are no relative minima. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) U C. The function has a relative maximum of at x = and a relative minimum of at x = (Use a comma to separate answers as needed.) .; .- D. There are no relative extrema