A = B= and C = Note: You can earn partial credit on this problem. preview answers Problem 5. (1 point) Let f (x) = . Compute f'(1). Answer: Use this to find the equation of the tangent line to the hyperbola y = _ at the point (1. 1.000). The equation of this tangent line can be written in the form y = mix + b. Determine m and b. m= b = Note: You can earn partial credit on this problem. preview answers Problem 6. (1 point) The demand function for a product is p = 3 - 24 where p is the price in dollars when q units are demanded. Find the level of production that maximizes the total revenue and determine the revenue. q = units R = $ Note: In order to get credit for this problem all answers must be correct A new streaming service is providing early access to customers. (a) Based on early surveys, when the service charges 15 Swiss francs per month, 3700 customers enroll. When instead they charge 40 Swiss francs per month, only 3200 customers enroll Write a formula for the demand as a linear function of price p. Formula: b) The service administrators are gradually enrolling new members to test its system. The number of customers supplied is given by S = 40p - 140 when the service charges p Swiss francs per month. Write a sentence to interpret the slope of the supply function in the applied context, including units. (Write your answer on the work that you upload) (c) Use the supply and demand equations above to find the number of customers at market equilibrium. Equilibrium: (d) To get full credit on this Practice Exam, upload all of your work to the "Practice Exam 1" a arment on Canvas, Type "upload" (with no quotation marks) in the answer blank below to indicate that you will upload your answers. Note: You can earn partial credit on this problem. preview answers Problem 8. (1 point) Find an equation of the tangent line to the curve at the following point y = (1 - 9x)". (0, 1) preview answers Problem 9. (1 point) The line tangent to the graph of g(x) = x - 4x + 1 at the point (2. 1) is given by the formula L(x) = 8(x - 2) + 1. (1 point) Find g (3) given that f(3) = -3 and f'(3) = 3 (a) For g(x) = 3x3 - 5f(x) (b) For g(x) = 24+1 Notes You can earn partial credit on this problem, preview answers Problem 12. (1 point) in this exercise, we estimate the rate at which the total personal annual income was rising in the Richmond-Petersburg, Virginia, metropolitan area in 1999. The total pers m of the annual incomes of all the people who live in that area. In 1999, the population in this area was 961400, and the population was increasing at roughly 9200 people per year. The average annual income was 30593 dollars per capita, and this average was ng at about 1400 dollars per your. Use the Product Rule and these figures to estimate the ersburg area in 1990 Rate of Increase of total personal annual dollars per year