Question 1: Solve the following inequalities. Give the solution set, if any, in interval notation, set notation and graph. -1> 28 () 3x* - x -s (c) x(x + 1) 2 12 Ar+2 (a) -1>

Q: Determine the domain and range of the quadratic function. Enter your answer in interval notation. To…

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Q: At what point the function f(x) = 22 +5x+6 22+a-6 has a removable discontinuity? %3D For those who…

A: This question is related to limits and continuity, we will solve it using given information.

Q: of the quadratic function ,

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Q: Find the value of m if f(x) = (6m +1)x² + 4x - 3 touches the x-axis at only one point

A: To find: The value of m if  f(x) = (6m+1) x2 +4x-3 touches the x-axis at only one point.

Q: a. (fo g)(x); b. (go f)(x); c. . (fo g)(- 2);

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Q: Select the true sentence: The function f(x) = -x² + 2x + 3 Select one: a. has a maximum at the point…

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Q: The number of salmon swimming upstream to spawn is approximated by the following function, where x…

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Q: The graph of the function f(x)= 6x²-kx +3 2x²-3x will have a point of discontinuity if k is

A: if 2x-3 is factor of 6x2-kx+3 then function will have a point of discontinuity at x = 0

Q: For f(x) = 2x + 6 and g(x) = 2x, find the following composite functions and state the domain of…

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Q: Show that if Sı and S2 are convex sets in R"+n, then so is their partial sum S = {(x, yı + y2) | x €…

A: We will solve the question number 2.16 as mentioned. Given that S1,S2 are two convex sets in ℝn+m.…

Q: What is the domain of B in interval notation?

A: To find the domain in the interval notation of the following function,

Q: The absolute maximum of f(x) =-20x +¤ - 1 is

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Q: Given f(x)=x²-13x + 48, find all values of x for which f(x) 28. The solution is (Type your answer in…

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Q: Given that g(x) = 3x²2 - 2x +5, find each of the following. a) g(0) b) g(-1) c) g(2)

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Q: -3 if aS - 2 Sketch a graph of f(x) a-1 if -2 1 -1

A: Given,          fx=-3  if x≤-2x-1  if -2<x≤1-1  if x>1

Q: 16. Solve each of the followir (a) (x- 2)2 0 (c) x2 - 10x – 3 > 0

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: Find the vertex and state whether the function has a max or min value   f(x)=3x2−24x+5 (3x squared)

A: There are various method to find maximum and minimum value of function, one of the method is double…

Q: Solve for x. Show your work for full marks. Express your answer in interval nolation. (х+ 5)(х-1)…

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Q: Let f(x)=x² -x+2 and g(x)=2x – 1, find each of the following: a. (fg)(x) and identify its domain b.…

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Q: Graph the function f(x)=√√x + 9. 3 What are the minimum and maximum values on the interval [-10,…

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Q: Solve the differential equation d2y/dx2 −2dy/dx+4y = e^xsin^2(x /2)

A: The general solution will be the sum of the complementary solution and particular solution.   The…

Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.