Directions: Evaluate the following. Show ALL necessary solutions. x³+2x²-1 1. lim x--2 5-3x 2. lim vu* + 3u + 6= u→-2 t*-2 3. lim t--2 2t2-3t+2

Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: Which of the following points can be a solution in graphing X +ys6? A (7,10) B (10,10) (10,7) D…

A: Here we want to find The points which are solution for given equation.

Q: Given P(x) = (x - 3)(x + 6), answer the following questions. %3D

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Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: 2.x4 h(x) = 5x³ + 6 .

A:

Q: Find the maximum and minimum points of y = x5 - 5x3 – 20x – 2 %3D |

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Q: State the domain and range (using either set notation or interval notation) for the quadratic…

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Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

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Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: Determine the initial value of the quadratic relation y = 7x²+2x-32. Enter a numeric value only.

A: Introduction: For a function, there is also an initial value. The initial value of a function is the…

Q: 3xh-2x2h2+h³ limn→0 limp. h ||

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Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: Q: solve the equation 5 lim ( x-3 3y + 4x x - 3

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Q: Suppose the quadratic possible ordered pairs x2  + bx (b, c) .+ c = 0 , when x = r or x = s . If r2s…

A: The given quadratic equation is x2+bxb,c+c=0.where x=r,s are the roots and b,c are integers.To find:…

Q: y=-x² +6x-2.

A: Given function is: f(x)=-x2+6x-2 which is a quadratic function, whose graph is a parabola.

Q: III. Find the maximum point, minimum point, and inflection point 2. y = x* - 2x? +3

A: This question is related to Functions, we will solve it using differentiation.

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: A object is thrown from the top of a coming and rails to the ground below. Its path is approximated…

A: The given position function is ht=-5t2+10t+120. The objective is to calculate the average velocity…

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no…

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