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Use Table 1 to evaluate all
88. Revenue. The marginal revenue for a Company that manufactures and sells x graphing calculators per week is given by
where R(x) is the revenue in dollars. Find the revenue func- tion and the number of calculators that must be sold (to the nearest unit) to produce $10,000 in revenue per week. How inuch weekly revenue (to the nearest dollar) will the Company have if 1,000 calculators are sold per week?
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Chapter 6 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
- In Problems 49–56, for each graph of a function y = f(x), find the absolute maximum and the absolute minimum, if they exist. Identifyany local maximum values or local minimum values.arrow_forwardIn Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.arrow_forwardIn Problems 11–18, match each graph to its function. A. Constant function E. Square root function B. Identity function F. Reciprocal function C. Square function G. Absolute value function D. Cube function H. Cube root function 11. 12. 13. 14. 15. 16. 17. 18.arrow_forward
- In Problems 13–24, use the graph of the function f given.arrow_forwardIn Problems 94–97, the graphs of the given pairs of functions intersectinfinitely many times. In each problem, find four of these points ofintersection.arrow_forwardIn Problems 13–24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the originarrow_forward
- In Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?arrow_forwardIn Problems 6–11, find the domain of each functionarrow_forward2) The Nikkei 225 index is a stock market index for the Tokyo Stock Exchange. The Nikkei 225 index for the period 1990-2010 can be modeled by V (t) = 23,500e-0.0381t where t is the number of years after 1990. Determine how many years after 1990 the Nikkei 225 index reached $20,000.arrow_forward
- Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)arrow_forward3. Where is the y-intercept of the equation y = (x- 2)^2 8? O (0.-8) O (0, 8) O (0. -4) O (0. 4)arrow_forwardIn Problems 23–28, answer the questions about the given function. x² + 2 26. f(x) = x + 4 23. f(x) = 2x? - x - 1 (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -1, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. 24. f(x) = -3x² + 5x (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. x + 2 (a) Is the point ( 1,) on the graph of f? (b) If x = 0, what is f(x)? What point is on the graph of f? (c) If f(x) =5. what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if…arrow_forward
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