2) Consider the function f (x) = (x + 4)ʻ + 1. %3D What is x when f(x) = 0 ? 3) Factor 2x + 6x – 3 completely. (Hint: simplify your square root at the end!) Is your solution Real, Rational or Complex?

Q: Find least square quadratic approximation of function with f(- 2) =0 f(– 1) =5 f (0) =0 f (1) = – 5…

A: We have to solve the given problem by least squares method.

Q: (h) Shrink vertically by a factor of 4. (x) y f(x - 4) O y = 4f(x) Oy = f(x) - 4 Oy = f(x) + 4

A: For function f(x),  y = f(x - a), represents shift a units to the right. y = af(x),  represents…

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

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Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

A:

Q: a. What is the value of f (0.6)? f(0.6) = %3D b. What is the largest value of x for which f(x) = 2?…

A: a) f(0.6) = 0.5

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

A:

Q: Q4) Find the domain of 3 a) f(x) = %3D 1-4e3x b) g(x) = In(5 – |x – 3|)

A: Note: Since you have asked multiple questions, we will solve the first question for you. To get…

Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

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Q: Veridy that the approximate root of xa2 is: 1+Xn- Xn 2

A:

Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2

A:

Q: (c) Discuss the maxima and minima of f (x,y) = x + y3 – 3x – 12y + 20.

A:

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Show that a cubic function f (x) = x3 + ax2 + bx + c is increasing on (−∞,∞) if b > a2/3.

A: Given function is: fx=x3+ax2+bx+c Then we get, f'x=3x2+2ax+b

Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…

A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…

Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

A:

Q: 1. To put the quadratic function f(x) ax? + bx + c in %3D standard form, we complete the

A: Fill the blank

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

A:

Q: Iff(c) does not exist, can f(x) have an extremum at x-c? Justify your answer taking f(r) = 2| and c=…

A: To Determine: If f'(c) does not exist ,can f(xx) has an extremum at x=c?justify your answer taking…

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: 1. Test z = x + 5xy + 10y? + 8x - 40y for maxima and minima.

A:

Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: Find least square quadratic approximation of function with f(-2) =0 f(-1) =5 f (0) =0 f (1) = – 5 f…

A:

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: In(1 – a²) V4 – x² – y? Find and sketch the domain of f(x) = %3D

A: The domain of the function f(x) is the values of x for which the function attains the real values.…

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

A:

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: Express the follo lowest form +4 a 2 1-3x S+x

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: Q2: Solve the following FLPP by Approximation of Fractional objective * ? function 3x; +3x, +2x, +1…

A: Given FLPP is Max Z=3x1+3x2+2x3+12x1+x2+x3+1s.t.2x1+5x2+x3≤2x1+2x2+3x3≤3x1,x2,x3≥0 Now adding slack…

Q: 31. f(x) g(x) =

A:

Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: Find the roots of the function f(æ) = (2" – 1) · (x² + 2x – 3) with x € R.

A: To find→Roots of f(x)=(2x−1)⋅(x2+2x−3),x∈ℝ.Solution→Solving…

Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

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Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

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Q: 18. Find the quadratic function from the table of values below. -5 -4 -3 -2 -1 1 y -6 -1 3 2 -1 -6…

A: We have to solve As per guideline we have to solve one question Please repost other question again

Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: 1. Find the domain of: 2х— 3 f(x) = %3D Vx² + 9

A: solution of this question is

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

A: