Anwser each question. 2.4

Question 4 6 0/1 pt O 2 2 97 0 Details The demand for a product is given by the following demand function: D(q) = -0.007q + 85 where q is units in demand and D(q) is the price per item, in dollars. If 9, 900 units are in demand, what price can be charged for each item: Answer: Price per unit = S Question Help: Video . Question 5 8 0/1 pt O 2 # 99 0 Details Suppose your demand function is given by D(q) = -q" -2g + 528, where q is thousands of units sold and D(q) is dollars per unit. Compute the following, showing all calculations clearly. A) If 20000 units are to be sold, what price should be charged for the item? Price = $ B) If a price of $493 is set for this item, how many units can you expect to sell? (Give your answer as whole units, not in thousands of units.) You can sell whole units (Your answer should not be terms of thousands of units). C) At what value of q does D(q) cross the q axis? (When you give your answer, round your answer to three decimal places) It crosses at q = thousand units. Question Help: )Video . Question 6 0/1 pt O 2 2 99 0 Details The Demand equation for an item currently being marketed is given by D(q) = -0.25 . q' + 44, where D(q) is in $ that can be charged per unit, and q is in thousands of units that can be sold at that price. (For example, q=14 means 14,000 units can be sold.) If 13,000 units are to be sold, at what price should each be set? (Be careful with units when you do your calculations!) The appropriate price = SQuestion 7 6 0/1 pt O 2 0 99 0 Details Let the demand function for a product be given by the function D(q) = -1.55q + 290, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $5, 000 and variable costs are $4 per item produced. If 83 items are produced and sold, find the following: A) The total revenue from selling 83 items (to the nearest penny). Answer: S B) The total costs to produce 83 items (to the nearest penny). Answer: S () The total profits to produce 83 items (to the nearest penny. Profits may or may not be negative. ). Answer: S Question Help: ) Video Question 8 6 0/1 pt O 2 99 0 Details A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $12 the average attendance has been 22000. When the price dropped to $9, the average attendance rose to 27000. Find a demand function D(q), where q is the quantityumber of the spectators. (Assume D(q) is linear) D(q) = (For best results, keep answers in fraction form, not decimals) Question Help: ) VideoQuestion 1 60/1 pt O 2 2 99 0 Details (1) If f(x) = 1 , then f'(I) = (2) If g(x) = -2x', then g'(I) = (3) If h(I) then h'(x) =[ Question Help: Video 1 ) Video 2 Question 2 0/1 pt O 2 2 99 0 Details Find the derivative of f(x) =015 -626. f'(I) = Question Help: Video Question 3 0/1 pt O 2 # 99 0 Details If f(z) = 4 + 2x - 4x3, find f'(-5). Question Help: @ Video Question 4 80/1 pt O 2 # 99 0 Details If f ( z ) = 6 + - + -, find f(z). Find f'(1). Question Help: Video . Question 5 6 0/1 pt O 2 # 99 0 Details Find - (2 In(x)) Question Help: Video. Question 6 B 0.91 pt '3 2 Q 99 G) Details If f[z]u = 4:3 6:: + 2, nd lp Use this to find the equation of the tangent line to the parabola y = 4:2 5:: + 2 at the point (1, 12}. The equation of this tangent line can be written in the form 3; = m: + b where m is: and where b is: Question Help: E Video I Question ?' B on pt '0 2 3 99 (D Details Let ffz) = 12: + 4 1112'. Then the equation of the tangent line to the graph of t) at the point (Ch7) is given by y = m: +bfor 111. Question Help: E Video O Question 3 B 0.91 pt '9 2 Q 99 G) Details The graph of z) : 2:3 + 12:2 1%: + 12 has two horizontal tangents. What is the negative value of z where a horizontal tangent occurs? What is the positive value of I where a horizontal tangent occurs? Question Help: E Video U Question 9 8 [H1 pt '3 2 Z 99 G} Details Use the product rule to find the derivative of (423 +63") [9:31 + 1) Use e'x for at. You do n_ot need to expand out your answer. Question Help: E Video 0 Question 10 a on pt '5) 2 3 99 G) Details If t) = (t3 + 2: + 6) (5:2 + 3), find f'[t). Find 3'14). Question Help: E Video Question 11 60/1 pt O 2 # 99 0 Details Find the derivative of the function g(I) = (3r' + 3r)e g (I) = Question Help: @ Video . Question 12 0/1 pt O 2 # 99 0 Details If f(z) = _ 3x5 + 5x4 + 613 , find f'(I) Question Help: @ Video Question 13 6 0/1 pt O 2 # 99 0 Details If f( I) = 2x + 4 21 + 6 , find: f(I) = f(1) = Question Help: Video . Question 14 0 0/1 pt O 2 2 99 0 Details If f(I) = 3 + 2 : find: f(I) = Question Help: Video Question 15 @0/1 pt O 2 2 99 0 Details If f(z) = (13 + 3x + 2) , then f(I) = f'(1) = Question Help: ) Video . Question 16 0/1 pt O 2 2 99 0 Details If f(z) = (5x + 6) , find f'(I). Find f'(5). Question Help: 0 VideoQuestion 17 60/1 pt O 2 2 99 0 Details Let f(x) = V4x3 + 5 + 2 f(I) = f'(2) = Question Help: Video Question 18 0/1 pt O 2 2 99 0 Details Let f(x) = 2 +5 f'(x) = Question Help: @ Video Question 19 0/1 pt O 2 2 99 0 Details Find the derivative of the function g(@) = = 1 + 4r 9 (I) = Question Help: Video Question 20 8 0/1 pt O 2 99 0 Details Let f(x) = In(13 - 2x + 8) f'(I) = Question Help: D)Video Question 21 8 0/1 pt O 2 2 99 0 Details Use the chain rule to find the derivative of f(z) -3(-615 - 219) 19 You do not need to expand out your answer. f(I) = Question Help: ) Video Question 22 60/1 pt O 2 2 99 0 Details Use the chain rule to find the derivative of f(x) = 50 9214x f(I) = Question Help: D) VideoQuestion 23 C0/1 pt O 2 # 99 0 Details Suppose a product's revenue function is given by R(q) = -8q + 1000q. Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to use the proper variable in your answer. (Use the preview button to check your syntax before submitting your answer.) MR(q) = Question Help: [Video Question 24 80/1 pt D 2 # 99 0 Details Suppose a product's revenue function is given by R(q) = -8q' + 200q, where R(q) is in dollars and q is units sold. Find a numeric value for the marginal revenue at 3 units. MR(3) = S per unit Question Help: Video . Question 25 8 0/1 pt O 2 99 0 Details g(x) h(x) y - valties Y -values 2 2 4 Quit x-values x-values If f( I) = 3 9(I) h(x) . then f'(3) = Question Help: @ Video Question 26 60/1 pt O 2 2 99 0 Details Given that f(z) = 1"h(x) h(-1) = 2 h'(-1) =5 Calculate f'(-1). Hint: Use the product rule and the power rule. Question Help: Video. Question 1 20/1 pt O 2 # 99 0 Details If f(x) = 4x4 - 7ex, find: f'(I) = f'(3) = f" (I) = f"(3) = Question Help: Video Question 2 60/1 pt O 2 # 99 0 Details Suppose that the position of a particle is given by s = f(t) = 78* + 4t + 9. (a) Find the velocity at time t. u(t) = (b) Find the velocity at time t = 3 seconds. (c) Find the acceleration at time t. a(t) = m (d) Find the acceleration at time t = 3 seconds. Question Help: Video . Question 3 60/1 pt O 2 # 99 0 Details Let s(t) = 813 + 60t? + 144t be the equation of motion for a particle. Find a function for the velocity. u(t) = Where does the velocity equal zero? [Hint: factor out the GCF.] t = and t= Find a function for the acceleration of the particle. a (t ) = Question Help: VideoQuestion 4 0/1 pt O 2 # 99 0 Details If f(z) = 3+ 6 + 2 find f(x). Find f'(3)- Find f"(I). Find f"(3). Question Help: D) Video Question 5 0/1 pt O 2 # 99 0 Details Match each function with its graph Q Function Graph Color - F(I) a. green - f(z) b. blue C. red. Question 6 2 0/1 pt O 2 # 99 0 Details -5 -4 -3 - At the point shown on the function above, which of the following is true? Of 20, f> 0 Of 0 Of