4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken Method. 2 3 12 4 248 X f(x) -1 615

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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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: 6 13 Find the critical points of the function f(1) = 26x7 +17. Enter your answers in increasing…

A: Given: fx=26x67+x137. To be find: critical points of the function. Concept: for a continuous…

Q: Q#3 Find the absolute maximum and minimum values off on the given closed interval, and state where…

A: Definition used -             Absolute maximum and minimum values of function -              We…

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

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Q: 1 Q.4 Find the formula and domain of fog and gof when f(x)=x-- and g(x)=: 1+x

A: 4. Given functions are  f(x)=x-1xg(x)=x1+x2

Q: In Exercises 7–10, use the formal definition of limit to prove that the function is continuous at c.

A:

Q: 2 6wen that f(x).(32-5 find the solution set of a for (1)decreasing Which the function is…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2 one factor of the function flx) =X²- 9X "+20 X -12 is (x-6), Describe how to find the X-…

A: The x-intercept is the point at which the graph crosses the x-axis i.e.,f(x)=0,At this point, the…

Q: 5) By false position method the equation f(x) = e- 3x has a root between 0.5 and 1.0.

A: This question is about regula falsi method.

Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

A:

Q: 3. GIVEN: ƒ(x): 2x2 – 3 xs2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2…

A: Given query is to determine whether f(x) is differentiable at x=2 or not.

Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

A:

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: 1) Find the absolute extremum values of f(x) = x² – 2 + 12 over the interval [1, 2).

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: -1 Q4 Let f(x)= x22 Find the value of (k) that makes the function is contimuons at =2.

A: F(x)= x2-1 when x<2

Q: 1 Let f(x) = 4x +7. a. Solve y f(x) for x. b. Find the input when the output is -13. !! %3D

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

Q: 7у — 9х Suppose f(x, y) = Find an equation for the level curve of f that passes through the point…

A:

Q: 15. (a) Find the quadratic approximation for the function f(x) = x3/2 centered at a = 4. (b) Use…

A: 15a Given function is fx=x32. We have to find the quadratic approximation for the given function…

Q: 6. If f(t) is a solution of y' = (2– y)e-y, determine if f(t) is increasing or decreasing at some…

A: Function is decreasing function for f(t) =3

Q: 8) g(x+ 1) h) f(5x – 3) + g(3x) i) Find x, if f(x) = 40 i) Find x, if g (x) = -2 %3D ©OOC amazon

A: (g)  g(x) = x² - 5x + 3 So, g(x+1) = (x+1)² - 5(x+1) + 3 = x² + 2x + 1 - 5x - 5 + 3 = x² - 3x - 1…

Q: 10.Given f(x)=2x-3 and g(x)= x² + 1, solve f[g(x)]

A: We have to find fgx where functions are given as: fx=2x-3 and gx=x2+1. Here we have to find…

Q: 6 2 Let f (x) = X -4x + 2 with x? ®. Find the a [f"(x)] at x-1. You will need to use a calculator…

A:

Q: 3. Given the following function: y = f(x) ==x³ - ;x² – 12x +3 %3D Find the values of x at which this…

A: Given: f(x)=13x3-12x2-12x+3 To find: x values at which given function takes a local maximum and…

Q: 7. Find the absolute maximum and minimum, if either exists, for the function below on the given…

A:

Q: 7. Find the sum of the values of a and b such that f(x) = 2ax? + bx + 3 has a relative extremum at…

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Q: 2 9 6. f(x) Suppose that f(x) satisfics 3f(x) d.x =1 and f(x) 2. Calculate d.r -4 -4 2

A: Given,∫-423f(x)dx=1∫-42f(x)dx=13⇒f(2)-f(-4)=13                   (1)Given∫-49f(x)dx=2⇒f(9)-f(-4)=2…

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: 2) A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The…

A: Solution :-

Q: 2. If function f (x) = 2x³+ax²+(b+ 1) x–3 has a local extremum at x =-1 1 then what is the product…

A: The given function  f(x) = 2x3 +ax2 + (b+1)x -3 local extrema at x = -1, inflection point at x = -…

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: Aitken method is used to find out the interpolation value of the function f(x) at a particular x…

Q: 11. Given that f (x) = 2x +1 and g(x) = x² find (a) (fog)(2) (b) (go f)(x) (c) f(f(x)) (d) g(g(3))

A: we have to find the following

Q: 14- f(x)=x²-2x-3 find the root of f(x)=0 in the interval [25]. use False position method; Xroot = Xu…

A: fx=x2-2x-3 To find the root of fx=0 in the interval 2, 5.To use False position method : xroot,…

Q: 5 2 7 . If f(x) = 3 + 4x · 2* + r", what are f"(0) and f"(0)? 3!

A: Given f(x)=3+4x-52!x2+73!x3

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the time at which concentration will be maximum.

Q: 4.36 Use the problem-solving strategy for finding absolute extrema of a function to find the…

A: We know that the absolute extrema of the function is the point where the function has the relative…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: 16. flx) = -r +1 17. flx) = 4x – 2.8 18. Ax) = x + 4 19. flx) = -x + 4.8 20. fle) = r – 21. f(x) =…

A: Here ,                We have given a linear equation in                one variable now we have to…

Q: 37. Given the function f(x) = x² – 3x : @ Evaluate f(5). O Solve f(x) = 4.

A:

Q: 5 The function g(x)= hx²-4x + k has a minimum value of -1 when x= 1. Find the value of h and %3D %3D…

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Q: 2) Consider the function f (x) = (x + 4)ʻ + 1. %3D What is x when f(x) = 0 ? 3) Factor 2x + 6x – 3…

A: Given, f(x)= (x+4)²+1 f(x)=0

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: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

Q: 15 Solve f(x) = g(x), to the nearest tenth, where f(x) = --x² - =x+ 18 and )s shown below. 24 21 18…

A: Consider the given function fx=-34x2-154x+18. The given graph of g(x) is, gx=-x2+13   for   x≥1x-12…

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

A:

Q: Q 2/ find the value of (k) to continue the function Vx+1-/2x x + 1 f(x)= (k x2-x X = 1.

A: The detailed solution is as follows below:

Q: 1. g(x) = 2 + x – x² , find f'(-3) H 2. f(x) = 4x, find g(2x) 3. g(x) = x° – 14, find g(3) 4. g(x) =…

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Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…

Q: 8. Let f(x)=3x-2 then the solution set for which f(x')=(f(x))´ is: 1 a. x=-- 3 1 b. x= 3 1 d. x=±÷.…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.