3. Solve the nonlinear inequality algebraically. (x-20) (3x-63)'(x-19) z 0 a. Find the boundary points and plot them on a boundary points : 20,2 b. Draw a table like the one below and list the function on each of these intervals. Interval Sign 25 20 21 19 to c. Write the solution set in interval notation: 8.

Q: ) Calculate the interval ((x– 2s,x+2s) and, hence find the number of observations fall in the…

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Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

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Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

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Q: Among all pairs of numbers (x,y) such that 4x+2y=18 find the pair for which the sum of squares,…

A: Given  4x+2y=18 y=18-4x2=9-2x f=x2+y2 Put the value of y in f f=x2+9-2x2f=x2+81+4x2-36x  =5x2-36x+81

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Q: Please show me how to find the x value.

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Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A: The extremum value of a real-valued function is determined through differential calculus. It is one…

Q: Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x°…

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Q: x? + x – 12 minimum point of y = x² – 4 | O -15.75, -1.03 O 15.75, 1.03 0.25, 2.96 -0.25. -2.96

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Q: Find the location of the maximum absolute extremum for the function. O A. x=5 A (x) 6- B. x=3 O C.…

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Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

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Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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Q: Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of…

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Q: For what value of x does the function f(x) = x in the interval[-3,5]? - 4x attain the absolute…

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Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: 14. Finally, take the equation d = 500e-0.1p and solve for p. Then create a new revenue function…

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Q: *10. Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) =…

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Q: Among all pairs of numbers (x,y)such that 4x+2y=22 , find the pair for which the sum of squares,…

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Q: maximum of the quantity xy2 where x and y are

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Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

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Q: For what value of x does the function g(x) = (x2 - 4)2 attain the abslolute maximum in the interval…

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Q: csec?x +secX -2=0

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Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

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Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

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Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: 4. Find the absolute minimum and absolute maximum values for y=3x²-12 x on the interval [0,3].…

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Q: Among all pairs of numbers (x,y) such that 6x+2y=36 , find the pair for which the sum of squares,…

A: Given,            Among all pairs of numbers (x,y)  such that 6x+2y=36 and to find the minimum value…

Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x2 dollars, producing how…

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Q: What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16…

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Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1°C for each…

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Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

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Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal