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A: The solution is:
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A: Since you have asked multiple questions in single request so we will be answering only first…
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A: Use the graphical definition of the derivative of a function at a point.
Q: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…
A: Solution
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- 2.Explain why f(x) = x/(x-2) does not have an extreme value on the interval (0,5).Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the graph of y = f(x + 2) increasing?• Over what interval is the graph of y = f(x − 5) increasing?• What can be said about the graph of y = −f(x)?• What can be said about the graph of y = f(−x)?Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the graph of y=f(x-5) increasing ?
- How to find the minimum value of y for the equation: 5.79702sin(0.009055x) +8.499779Analyze the graph of the function f(x)=4|x+7|+8 compared to the graph of the absolute value function g(x)=|x| . To obtain the graph of f(x)=4|x+7|+8, the graph of g(x)=|x| has been Shifted _____ by ___ units Shifted_____ by ___ units Vertically stretched by a factor ofWhen a certain drug is taken orally, the concentration of the drug in the patitent's blood after t minutes is given by C(t)=0.06t-0.0002t^2, where 0 is less than or equal to t less than or equal to 300 and the concentration is measured in mg/L. A) when does the maxinum occur and waht is the maxinmun concentration. B) over what time intervals was the concentration increasing and decreasing? what are the natural domain and range of the function? C) What is the average rate of change of the concectration from 0 to the t-coordinate, t^*, of the vertex and what is its interpetation?
- 4. Find xandy intercepts, intervals of monotoncity, local extreme value, intervals of concavity, inflection points and sketch the graph of afunction f(x) = (3x ^ 2)/(x ^ 2 - x - 2)The revenue from the sale of x manual food processors is given by R(x)=30x−0.2x2 dollars. The total cost is given by C(x)=0.2x2−34x+1950 dollars, where 0≤x≤130. Determine the interval of sales for which the profit is increasing and the interval for which it is decreasing. Express your answer in open intervals. increasing on : decreasing on :How do I find the intervals for these two questions based on the graph? Where is g(x)>0? Where is g'(x)> 0?
- Suppose the average costs of a mining operation depend on the number of machines used, and average costs, in dollars, are given by C(x) = 2300x + 664,700/x, x > 0, where x is the number of machines used. (a) Find the critical values of C(x)that lie in the domain of the problem. (Enter your answers as a comma-separated list.) x = (b) Over what interval in the domain do average costs decrease? (Enter your answer using interval notation.) (c) Over what interval in the domain do average costs increase? (Enter your answer using interval notation.) (d) How many machines give minimum average costs? machines (e) What is the minimum average cost? $Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the graph of y=-f(x)The revenue from the sale of x mineral-based makeup sets is given by R(x)=42x−0.4x^2 dollars. The total cost is given by C(x)=0.1x^2−30x+2430 dollars, where 0≤x≤110. Determine the interval of sales for which the profit is increasing and the interval for which it is decreasing. Express your answer in open intervals.