Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Chapter E, Problem 33E
To determine
To graph: The function
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Algebraic Modeling
. Gold Prices The price of an ounce of gold in U.S. dollars for the years 1997–2011 can be modeled by thefunction G(x) = 11.532x2 - 259.978x + 1666.555,where x is the number of years after 1990.a. Graph this function for values of x representing1997–2011.b. According to the model, what will the price ofgold be in 2020?c. Use graphical or numerical methods to estimatewhen the price of gold will reach $2702.80per ounce.
3. Differentiate the following function. Give the answer in a simplified and factored form.
y = (x³ – 1)*(x + 5)³
Chapter E Solutions
Elementary & Intermediate Algebra
Ch. E - Prob. 1ECh. E - Prob. 2ECh. E - Prob. 3ECh. E - Prob. 4ECh. E - Prob. 5ECh. E - Prob. 6ECh. E - Prob. 7ECh. E - Prob. 8ECh. E - Prob. 9ECh. E - Prob. 10E
Ch. E - Prob. 11ECh. E - Prob. 12ECh. E - Prob. 13ECh. E - Prob. 14ECh. E - Prob. 15ECh. E - Prob. 16ECh. E - Prob. 17ECh. E - Prob. 18ECh. E - Prob. 19ECh. E - Prob. 20ECh. E - Prob. 21ECh. E - Prob. 22ECh. E - Prob. 23ECh. E - Prob. 24ECh. E - Prob. 25ECh. E - Prob. 26ECh. E - Prob. 27ECh. E - Prob. 28ECh. E - Prob. 29ECh. E - Prob. 30ECh. E - Prob. 31ECh. E - Prob. 32ECh. E - Prob. 33ECh. E - Prob. 34ECh. E - Prob. 35ECh. E - Prob. 36ECh. E - Prob. 37ECh. E - Prob. 38ECh. E - Prob. 39ECh. E - Prob. 40ECh. E - Prob. 41ECh. E - Prob. 42ECh. E - Prob. 43ECh. E - Use the graph of f illustrated below as the first...
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- In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. 11. f(x) = 4" 13. g(x) = ()* 15. h(x) = (})* 17. f(x) = (0.6) 12. f(x) = 5" 14. g(x) = () 16. h(x) = (})* 18. f(x) = (0.8)* %3!arrow_forward3. Graph the pair of functions on the same set of axes. y = e2x ; y= In 2xarrow_forwardThe graph of fx=1/x is a .arrow_forward
- When a person swallows giardia cysts, stomach acids and pancreatic enzymes cause the cysts to release trophozoites, which divide every 12 hours. Source: The New York Times. a. Suppose the number of trophozoites at time t = 0 is y0. Write a function in the form y = y0ekt giving the number after t hours. b. Write the function from part a in the form y = y02f(t) c. The article cited above said that a single trophozoite can multiply to a million in just 10 days and a billion in 15 days. Verify this factarrow_forwardKpopulation is measured in thousands of people. A low-projection scenario for the population of Smalltown, USA for 1995 and 2150 is given by the function y=-0.37x 37.83x 5840 68, where x is the number of years after 1990 and the a. Find the input and output at the vertex of the graph of this model b. Interpret the values from part a c. For what years after 1995 does this model predict that the population will increase? a. The input at the vertex is x 51.12 and output at the vertex is y 6807.65 (Round to the nearest hundredth as needed.) b. The population will be (Use the answer from part a to find this answer.) in the yeararrow_forward16. On the first swing, a pendulum swings through an arc of length 36cm. On each successive swing, the length of the arc is 90% of the previous arc. Write the first five terms of this situation. Write a function rule to model the situation. Identify what each variable represents. What is the length of the arc on the sixth swing to the nearest cm?arrow_forward
- If the function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, which is the resulting function?arrow_forward1. Graph each function over the indicated interval. a. y = 5*; [-2, 2] b. y = -3; [-3,3] c. y = 2log4x + 2arrow_forwardCompare the graphs of the functions. Y = In and Y, = Inx - In 2arrow_forward
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