- 5x + 145 Given f(x) (x - 219)11 ..... (i) The function f(x) has a Local Minimun at x = 10 Please Type Maximum or Minimum (ii) The function f(x) is strictly Decreasing on the open interval - 0 10) and is strictly on the open intervals and Please Type Increasing or Decreasing. List the two intervals from Left to Right.
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A: Introduction :
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A: You have posted multiple questions. As per the instruction, we will be answering only the first…
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Q: The absolute minimum value of f(x) = (x3/3) - ( 5x2/2) - 6x on [-1,3] is?
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Q: Given f(x) = -x³-7x² - 8x + 16 = (x+4) (4-3x-x2²). Find the (a) intervals on which f is decreasing…
A: Follow the steps.
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A: Topic- application of derivatives
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Q: 1. Find the absolute extrema of the function f (x) = 2x3 + 9x2 - 24x + 6 on the interval [-5, 2].…
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Q: 6) Find the absolute maximum and absolute minimum values of f(x)= 2x-3x -12x+ 24 on the closed…
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Q: 3. Draw a graph of y= f(x) that matches the following characteristics. Increasing on: -8<x < -4 and…
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Q: f'(x) 3 2 Analyze the given graph of f'(x) to find a) intervals where f(x) is decreasing b) x-values…
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Q: 3 x -3 2x+1 and solve its RHL and LHL (Limits).
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Q: (i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points…
A: To solve the problems
Q: 12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3…
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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x-3x-2 on the closed interval [-2, 11.
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Q: Find the local extrama of f(x)=x-2x+4 on a closed interval [-2,3] O a. minimum value at x =1 is 3…
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Q: 8. Given the function f(x) = -x³ + x² a) Determine the intervals in which the function is increasing…
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Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).
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- In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minimums and maximums?In the function: f(x)= 6/((x^2)-16) What are the critical numbers of the function? When is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minima and maxima?In the function: f(x)= (4x^2)/((x^2)+4) What are the critical numbers of the function? Where is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minima and local maxima?
- Find the value of x at which the absolute maximum occurs (if it exists) for the function f(x) = -x2 + 3x - 2 over the interval [1, 3]12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3 on the interval [-4, 2].Find the location of the global maximum and minimum of f(x) = x^3-6x^2+1f(x)=x3−6x2+1 on the interval [-1,7][−1,7]. a) The global maximum is attained at x = 0x=0 and the global minimum at x = 4x=4. b) The global maximum is attained at x = 7x=7, but there is no global minimum. c) The global maximum is attained at x = 0x=0 and the global minimum at x = -1x=−1. d) The global maximum is attained at x = 0x=0, but there is no global minimum. e) The global maximum is attained at x = 7x=7 and the global minimum at x = -1x=−1. f) The global maximum is attained at x = 7x=7 and the global minimum at x = 4x=4.
- Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2 + 3x - 2 over the interval [1, 3].Find the x-values corresponding to all critical points of the function f(x)=1/5x5-a4x, where a is some positive constant. Enter your answer as a comma-separated list.Can you help me find the absolute maximum and minimum at x given the equation: f(x)= - x2+7x on the interval [1,7]
- The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is y=-5x+1. Find the values of (f+g)(3) and (f+g)'(3).(i) Discuss the continuity of the function f(x)= x^2-3x if x<2 2x+4 if x ≥ 2 on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2. (ii) An efficiency study of the morning shift at a factory indicates that an average worker arriving on the job at 7:00am will have assembled f(x)= x^3+6x^2+15x units x hours later. approximately how many units will the worker assemble between 8:00 and 8:15am?16) The absolute minimum value of f(x) = (x3/3) - ( 5x2/2) - 6x on [-1,3] is?