a) Find the function f(x) which satisfies the following condition. (s+2)e-2s s2 + 4 s + 8 L[F (x)] = 11

Q: The function f(x) = 11 – 7x has an absolute maximum value of and this occurs at x equals

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Q: The critical point for the function f(x)= v5 - 3x? is a. None of these O b.2 Oc No solution d.0

A: Consider the given function as fx=5-3x2

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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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: 4. Given that (fog)(x)3= 4. and f(x) = Sx+4 9x-2 Determine g(x). Hence, find g(0)

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Q: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…

A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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

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Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

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Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

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Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: f(x) = e + x³ – 1 and g(x) = 2r2 – 1. %3D Find (g of-)(e). · O C

A: Please refer to the image below

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

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: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

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

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Q: Find the values of x, y and z that correspond to the critical point of the function: 23D f(+, у) —…

A: Given  z = f(x, y) = 2x2-6x-3y+3y2+5xy We have to find the critical point of the function.

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: x- 2 if xS-2 2 1. Sketch: f(x) = - 2 2

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Q: -2 1 Find / f(x)dxif / f(x)dx = 2 and 3 -2 3 fro f(x)dx - 6. 1

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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: Given 3s2 + 9s – 2 F(s) = (s - 1)(s2 + 4s+ 5) Find f (t).

A: We will find out the required solution Laplace transform method.

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: (a) f(x) = 2r3(3 – 4x)

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Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)

A: We will solve for x when f(x)=g(x)  in the following step.

Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: The critical values of f ( x ) = x 2 e − x 2 are?

A: Given, f(x) = x2e-x2      Critical point of function is a value of X in domain of function at which…

Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

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Q: Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered…

A: To evaluate the critical point of the following function  f(x) = 3xx2+9

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: The function f:R R satisfies the condition mf(x-1)+ nf(-x) =2|x |+ 1. If f(-2) = 5 and f(1) =1, then…

A: Introduction :Given ,function f: R->R Which satisfies the condition mf(x-1) - nf(-x) = 2|x| +…

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: Find the critical point for the function f(x)=5x2. 4 - 1 40 none O 18 O 4

A: Given function is                                                f(x)=5x2-x4 we have to find…

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

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Q: Find the critical numbers of the function. a. f(x) = x3 + 6x? – 15x b. g(x) = V1- x2

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Q: Find f(x) by solving the initial value problem. f '(x) = 9ex - 2x; f(0) = 12 f(x) = %3D

A: We find this by applying integration.

Q: 1 Given f(x) = and 2x -3 g(x) = Vx+2. Find (fog)(x) and its domain. 2.

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Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

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Q: What is the domain of the function f(x) = %3D 5" Vn n-1

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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: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: The function f: R R satisfies the condition mf (x-1)+nf(-x) =21x|+ 1. If f(-2) = 5 and f(1) = 1,…

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