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Chapter 7 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
- If p = 4x³ + x² + 2x + 5 and q = 6x³ + 3x² + x + 2 Find ||p|| and ||q||arrow_forward8. If (3x -5x + 5y- 2) is subtracted from (-2x + x- 1), what is the coefficient of x in the result? a. 2 b. 6 C. 4 d.-1arrow_forwardDetermine x and y such that -4 3 0 ]=[% 1 -4 с — -1 -3 -4 3 -6 2x + y x = y =arrow_forward
- B,C,Darrow_forward1. Ten year old Kayla's lemonade stand has experienced rises and falls in sales caused by temperature changes over the last few weeks. Her sales over the first few weeks of the summer were stacked according to the model S(x) =2x³ – 32x2 + 128x + 6 , where x is the number of weeks and S(x) is the number of sales. a) Kayla makes a profit if she sells at least 6 glasses of lemonade. Use the model to determine the number of days that she made a profit. b) What are the domain and range? Interpret each. c) Predict the number of sales on her last week of sales (Assume 12 weeks). Does this seem reasonable? What kind of conclusions would you make about the weather with this model?arrow_forward9. A company marketing a food product at sporting events has determined that the amount of income received on any one day depends upon the number of outlets selling the product at each sporting event. The company has found that the income, I (in dollars) is given by I = -20x? + 400x where a is the number of outlets at the sporting event. (a) Complete the following table of values for Number of 4 8 10 12 16 20 outlets (x) Income (I) (b) Using the table of values sketch the graph of I = -20x² + 400x. (c) Explain why it is not useful to calculate I for negative values of x. (d) What is the equation of the axis of symmetry? (e) Use this graph to find the maximum income the company can expect from sales of the product at a sporting event. (f) Use the graph to find the number of outlets required to achieve this maximum income. (g) Describe in your own words the relationship between income and the number of food outlets at the sporting event.arrow_forward
- What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 2. y = 2x3 - 3x6 + 4 3. y = -x³ + 2x5 – 1 4. y =Ox (x - 7)(x + 5)* 5. y = x(x + 1)(x - 8)arrow_forward1. Which pair of functions is equivalent? a. fAx) = - 8x - 5x – 3 g(x) = 8x + 5x + 3 c. Ax) = (-6x + 7x) + (8x? - x) g(x) = 2x2 + 6x %Darrow_forward5. If Jack's age is three years more than twice Tina's age, t, then which of the following represents the sum of their ages in terms of t? ((1))2t+3 22t+3t 321² +3t 3t+3arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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