
(a)
To write: a system of linear equations in which one equation represents the amount of final mixture required and the other represents the percent of acid in the final mixture.
(a)

Answer to Problem 80E
The system of linear equations in which one equation represents the amount of final mixture required and the other represents the percent of acid in the final mixture are:
Explanation of Solution
Given information:
Thirty liters of an
Let
Calculation:
The equation represents the amount of final mixture required is:
And
The equation represents the percent of acid in the final mixture is:
Therefore, the system of linear equations can be written as:
(b)
To plot: a system of linear equations on graph using graphing utility.
(b)

Answer to Problem 80E
The solution of system of linear equations using graphing utility is:
Explanation of Solution
Given information:
Thirty liters of an
Let
Calculation:
The system of linear equations in which one equation represents the amount of final mixture required and the other represents the percent of acid in the final mixture are:
Plot the given system of linear equations using graphing utility:
Therefore,the solution of system of linear equations using graphing utility is:
(c)
To state:what will happen to
(c)

Answer to Problem 80E
When the amount of
Explanation of Solution
Given information:
Thirty liters of an
Let
Calculation:
The equation represents the percent of acid in the final mixture is:
Analyze the above equation by table method, put different values of
24 | |
23 | |
8 |
From the table, it is clear that when the amount of
(d)
To solve: a system of linear equations and determine the amount of each solution to obtained the specified concentration of the final mixture.
(d)

Answer to Problem 80E
Explanation of Solution
Given information:
Thirty liters of an
Let
Calculation:
Since, the system of linear equations can be written as:
Solve equation (1) and (2) by elimination method:
Calculate the value of
Therefore,
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
- How does a fourier transform works?arrow_forwardDetermine the radius of convergence of a power series:12.6.5, 12.6.6, 12.6.7, 12.6.8Hint: Use Theorem12.5.1 and root test, ratio test, integral testarrow_forwardCan you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forward
- Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forwardThere are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardUse a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forward
- 5. For the function y-x³-3x²-1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (e) determine the intervals of concavity. (d) determine the points of inflection. (e) sketch the graph with the above information indicated on the graph.arrow_forwardCan you solve this 2 question numerical methodarrow_forward1. Estimate the area under the graph of f(x)-25-x from x=0 to x=5 using 5 approximating rectangles Using: (A) right endpoints. (B) left endpoints.arrow_forward
- 9. Use fundamental theorem of calculus to find the derivative d a) *dt sin(x) b)(x)√1-2 dtarrow_forward3. Evaluate the definite integral: a) √66x²+8dx b) x dx c) f*(2e* - 2)dx d) √√9-x² e) (2-5x)dx f) cos(x)dx 8)²₁₂√4-x2 h) f7dx i) f² 6xdx j) ²₂(4x+3)dxarrow_forward2. Consider the integral √(2x+1)dx (a) Find the Riemann sum for this integral using right endpoints and n-4. (b) Find the Riemann sum for this same integral, using left endpoints and n=4arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





