A V Question 12 of 22 View Policies Current Attempt in Progress {all Find the average rate of change of y = 3.1:: with respect to x overthe interval [0, 6]. = a {bi Find the instantaneeus rate of change of y = 33:2 with respect to x at If} = U. eTextbeek and Media Hint Salve fur Laliel Attempts: D (If 3 u: Question 13 of 22 View Polities Current Attempt in Progress Consider the function y = f (3:) = :I: + x/E and the sitvalue In 2 36. (a) Find a formula for the slope of the tangent line to the graph of f at a general point :t = so). when = (b) Use the formula obtained in part (a) to nd the slope of the tangent line for the given value of 2:9. Enter the exact answer. 1\" 11cm Question 14 of 22 - /5 View Policies Current Attempt in Progress A particle moves on a line away from its initial position so that after f hours it is s = 2/2 + / miles from its initial position. (a) Find the average velocity of the particle over the interval (3, 5]. Dave mi/h (b) Find the instantaneous velocity at / = 3. mi/h eTextbook and Media Hint Save for Later Attempts: 0 of 3 used Submit AnswerQuestion 15 of 22 > - 15 IE View Policies Current Attempt in Progress A chemical manufacturer sells sulfuric acid in bulk at a price of $200 per unit. If the daily total production cost in dollars for x units is C(x) = 100,000 + 100x + 0.005x2, and if the daily production capacity is at most 7000 units, how many units of sulfuric acid must be manufactured and sold daily to maximize the profit? Manufacturing and selling i units each day maximizes profit. eTextbook and Media HintQuestion 16 of 22 '1 > View Policies Current Attempt in Progress A rectangle has its two lower cernere en the m-axie and its two upper corners on the curve 3; = 4 3:2. For all such rectangles, what are the dimensions of the one with largest area? NOTE: Enter the erect aftercare. Width of rectangle 2 height of rectangle 2 f5 Question 17 of 22 - /5 View Policies Current Attempt in Progress A fertilizer producer finds that it can sell its product at a price of p = 3500 - 0.7x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 105,000 + 875x + 0.175x2. If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit? Selling units maximizes profit. eTextbook and Media Hint Save for Later Attempts: 0 of 3 used Submit