What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

Q: 1 If f(x) = xī, then f'(x) is equal to %3D

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Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

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Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: 3.4 Find the inverse of the function. 34. fr) = 5x – 3 r'x)%3D 35. %3D 2. 37. fx) = -x+ 2, xS0…

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Q: (b) Evaluate f, /2+ ]x| dx by method of substitution.

A: Break integral into two part then solve

Q: If fCx) is bdd Junchion an f(x) dx = の-3 then 3. True or Fal se ?

A: Solution :- An odd function is defined such that f(−x)=−f(x)

Q: If f(x) = 4x°-2 cosx then f'(x) =, 12x-2cosx 12x + 2sinx 12x+2cosx 12x-2sinx

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Q: 23:- Find and sketch the domain of the following equations:- 1) f(x,y) = Ln(1 – x² – y²) (2)f(x, y)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…

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Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

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Q: et %3D x3-16x' Vx+2 a) f(x) = b) f(x) = x2-9'

A: The domain of a function is the set of points at which the function is well defined.

Q: 2. Find the inverse of f(x) = 2x+1, r >0. %3D A. x +1 f(x) = V B. f(x) = Va +1 2 C. 1 -- f(x) = V D.…

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Q: If L(x)=mx+b is the linearization of f(x) 2x-x +3 at x-1, then m3 Using L to approximate 2(1.01)…

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Q: Q3: Use Chain Rule to differentiate the following functions 1. f(r) = (4x² - 3r + 2) 2 2. y = csc(4…

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Q: In Exercises 1-4: a) Find the inverse/ of the function/, expressed as a function of x. b) Graphfand…

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

Q: Suppose that the joint pdf of X1 and X2 is given by fx1,x2(*1, 2) = 1/x1, 0 < x2 < ¤1 <1 and 0…

A: Given, X1, X2 are two random variables, with the joint pdf       fx1,x2 given.

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: Suppose that 6 f(x)dx = -15.7, ´ f(x)dx = 15.8, " g(x)dx = -11.4, and 8(x)dx = -1.6. %3D %3D Then…

A: Integration

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: If f(x) = cosh-'(5x), then f'(x) %3D

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Q: Find the domain of the function 3x -1 A. f(x)= 1- 2x + 3 sin 2.

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Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

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Q: Find each f(c) using synthetic substitution. 12. Ax) =5x + 10x* + 3x + 8x² – 6x – 3; c = 3 (SHOW…

A: Concept - we have given a function F(x) , and asking about C=3 ,so substitute c in given…

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

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Q: Supposed that z is defined implicitly as a function of x and y by the equation x2 + y2 +z2 = 4. Find…

A: The given data is: x2+y2+z2=4 To find the value of dzdx

Q: on one of the following functional form we .2 should not calculate R square *

A: Answer: If the regression line passes through the origin then we should not calculate R square…

Q: Find (f-1)'(a). TX f(x) = 8 + x2 tan 2 -1 < x < 1, a = 8 %3D (f-1)'(a) =

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Q: Suppose that f(x, y) = e¯4z² - ly + 7z + 2y then find the discriminant of f.

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Q: Suppose that f(x, y) = sin(4x + 6y) is a function of two variables. %3D

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Q: |If f(x) = °(1³ + 41² + 1) dt %3D then f"(x) = ||

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Q: ∇⋅F of F = (2x3y)i-(3y2z)j+(xz3)k at (1,2,-1). a. 27 b. -34 c. 4 d. -7

A: The del operator is used to represent the partial derivatives with respect to the variables defined…

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

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Q: Is the function u(x, y) = -3(g + 1)x²y+ (p+ 1)y³ harmonic? If your answer to the last question was…

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Q: 2. Suppose that z is a function of a and y, and F(x2 - y², xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: If f(x) %3D (x + 1)2 + 2, х<-1 Then f-'(x) = a. х — 3 Оь —1+ Vx — 2 -1- Vx – 2 Od. 1- Vx – 2 е. -1-…

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Q: If f(x) = | (3 + 4t + 5) dt %3D then f'"(x) =

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Q: Is the function 3Sin26x a special function of the operator d? /dx? ?

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Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: Find the inverse of f (x) = 2 –5. - Of (x) = 5x - 2 %3D of (z) = %3D Of (2) = z +; || O T = 2y + 5

A: Topic- function

Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: Find ý of the function x2 - e2x+3y - In(xy) = 0. %3D

A: Consider x2-e2x+3y-ln(xy3)=0We differentiate it implicity, we…

Q: Differentiate f(x)=-0.1x^4-0.15x^3-0.5x^2-0.25x+1.2 at x=0.5   Find the central different with…

A: The given function is- f(x)=-0.1x4-0.15x3-0.5x2-0.25x+1.2 Derivative using central difference-…

Q: Multiply both sides by f(x). f'(x) = f(x)(-11 In (x) - 11) -11x %3D -11x Substitute x for f(x) and…

A: Given that :- f(x) = x-11x.  We have to find f'(x) , which is a derivative of f(x).

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.