Evaluate the function: S de x(x-2) -dx (x–1)³

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: df Use integration to find f(4) if- dx O 42.667 O 43.667 O 47.667 O 48.667 = 2x² and f(0) = 5.

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Q: Consider the function F(x, y) = x + 3x2 - 6xy? +2y3, Find critical points (FoC). Identify these…

A: Given function  F(x,y)=x3+3x2-6xy2+2y3 a. Differentiating F partially w.r.t to x and y, we get…

Q: Find the value c in the interval [0,1] where f'(c) = f(b)-f(a)/b-a f(x) = 1/(x+1); [0,1]

A: Given,           fx=1x+1 ;  0,1

Q: Consider the function 8 · + 9. xy f(x, y) In which direction does the function f(x, y) increase most…

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Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

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Q: 19. y = In(e* + xe*) %3D

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Q: Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: : Express the function f (x) = e") to the form u(x,y) + iv(x,y).

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Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: Determine frx and fry for the function below: f (x, y) = x²y + y cos x – e*y In((y) + 7. -

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Dicuss the contiunity of the function f (x,y) = ln  (x+y-1)

A: We know: 1) Polynomials are continuous everywhere. That is, at every point in real number 2) Sum of…

Q: Differentiate the function. y = (3x-4) (2-x*)° dy %3D dx

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Q: Compute d/dx f ( g (x)), where f (x) = x5, g (x) = 6x - 1

A: Given f(x)=x5, g(x)=6x-1

Q: Differentiate the function. y = 7x dy %3D

A: It is derivative problem.

Q: dy 2- Find for the following function: dx А- у%3Dх*. сosx B- y= 2(secx)²

A: Given : A) y = x3·cosxB) y = 2secx2

Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

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Q: The domain of the function f(x)= tanh( - 23) is (A, 264)

A: Given,          The domain of the function fx=tanh-1xk-23 is A,264.

Q: dx Show that f - In|ax + b| + C where a # 0. ax+b

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Q: Why is ƒ not a function from R to R if f(x)= ½? b. f(x)= Jx ? c. f(x)=±/(x² +1)? а.

A: Why is f not a function from R to R if,  a) f(x)=1xb) f(x)=xc) f(x)=±x2+1

Q: dy 3- Find dx for the following function: A- y = ecosv3x-1 B- y = x². secx

A: (a) Evaluate dydx of the given function as follows.…

Q: Use tabular method to evaluate f a*e¬k« dx

A: We need to use the integration by parts:∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Define what it means by for y f(x) dx

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Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: Find R of the function Y = f(x) = vx %3D

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Let f(x) = 2x° + 5x+ 1, -1<x<1. Find (x) at x = 1. dx (Simplify your answer.) dx x=1

A: Given: f(x)=2x5+5x+1 , -1&lt;x&lt;1 To find d/dx f-1(x) at x =1

Q: of of For the function f(x,y) = 4x* - 3y' - 8, find and dx of %3D dx of

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Q: Jo Jo JoT f(x, y, x) dy dz dx is a function in terms of z-

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Q: Find fx, fy. Verify your answers using computational tool. f(x, y) = ½ In (x²+ y² ) + tan' (y/x)

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Q: Find the linear approximation to the function. x2 f(x + Δx) ≈      Evaluate it at the given…

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Q: Let f be a function such that | f(u) du = = -6. What must be the æf 4 1) dx? value of

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Q: Given the function(x) = x3+ 1, find the ∆y, dy, ∆y-dy

A: f(x)=x3+1

Q: Use FunCtion 9(x) = - f (X)tZ gra ph Of Y = fLX) to g raph Y=F(x) 2十 -4

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Q: Consider the function f(x, y) = Va+y+I x-1

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Q: Give an example of a linear function f(x)= mx + b, with m,b ±0 and an interval a<xsc where f(x)dx=0…

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Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of at x = 1. %3D df-1 - dx

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Q: Let Xi = cos(27FT) ,r.v.F~U[0,fo). What is its mean function,autocorrelation function?

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Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: Consider the function f(x, t) = (x – ct)° + (x + ct)° where c is a constant. Calculate and dx2

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Q: af Find and ax af Jy f(x,y) = e⁹xy In (3y) 11 for the following function.

A: To find the partial derivative.

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

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Q: Let f(x) = 8x – 15x2 – 3, x2 1.5. Find the value of df -1 at the point x =1185= f(6). dx

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Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: 4 F2x) dx. f(x) dx = 9, find If f is continuous and 0

A: Given,