If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

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

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Q: let f(x) = 2x^2+2x+3 and let q(h) = f(1+h) - f(1)/ h.    Then q(0.02) = ?

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Q: if x # 0 Let f(x) = k %3D 2x if x = 0

A: Given: 1) f(x)=x2-x2xif x≠0,kif x=0  f is continuous at x=0 we have to find k 2) f(x)=4x-1, g(x)=2x…

Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: If f (z) = 5z + 1, and g (x) = 2z- 3. %3D Evaluate (go f)(z)

A: Let f : A → B and g : B → C be any two functions. Then the composition function (g∘f) is defined as…

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: Prove that = va² – x* if y =(f)sin~+ () + (9)v&* - x²

A: Differentiation wrt x

Q: The antiderivative of the function f(x) : .4+7.5x³ is. -7.5 + 0.5x² + c -2 + 1.9x* + c -2 +1.9x³ + c…

A: To find the integration

Q: If F is given by F(x) = (x – 2)³, what is the output - resulting from input equal to u² ? a) v6 –…

A: topic- polynomial

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 antiderivative F(x) of f(x) = x6 1 that satisfies F(1) = 4. - %3D

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Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: Show that f (−1) = f (1), but that there is no point in (−1, 1) where f (0) is zero. Why does this…

A: Given: fx=1-x2/3 So, f-1=1--12/3=1-1=0 Also, f1=1-12/3=0 Thus, f-1=f1

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

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: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: You know that: g(t) dt = 21 3 9(4) : %3D V3 g(9) = 3. V3 g'(x) Evaluate: da 9 + (g(x))²

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: 1 Find f(1) if f(t) dt = x" - x + 2x? – 2, x >1.

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Q: The antiderivative of the function f(x) = -+ 1lx is x2 -5 + 5.5x2 + c -5 5.5x2 + c -11 + 2.5x2 + c +…

A: We know that, The expression to calculate the antiderivative of the given function: Fx=∫fxdx The…

Q: Consider x2 2x + 1 if x 1.

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Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

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Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: If F(x)=[ -dt , find F' (3). 2t 2

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Q: Consider x2 – 2x + 1 if x 1.

A: Given: f(x) = x2-2x+1        if x&lt;-1xx+1               if  -1≤x≤0x-1             if  0&lt;x&lt;10…

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…

A: As we know that if we need to find the antiderivative of f(x);   So,   ∫fxdx=Fx+C   From the given…

Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

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Q: Let f(x)=6x2+1f(x)=6x2+1.Enter an antiderivative of f(x) . . .

A: The given function is,

Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

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Q: what is the antiderivative F(x) 0f f(x)=3x^((1)/(2))-x-1that satisfies the condition F(4)=0 A,…

A: Given that:f(x)=3x1/2-x-1, F(4)=0

Q: Find the linearization L(x) of f (x)=- Vx -5 at a =3. – 5 2.

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Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: If f(x) V4 + 4t° dt, then find f'(x). -

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Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

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

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Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: 1. f(x) = Vx - 1 at x = 5 %3D 2. f (x) = at x = 2 x-2

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Q: 4. Let F : R² → R² defined by F(x,y) = (2x +3y, –x +y). Is F a linear? Why?

A: Given

Q: If f(x) = 4x – 1 and g(x) = Va2 +1, then f(g(x)) is - Oy = (4x – 1) Vx² +1 Oy = 4Vx2 +1–1 4x-1 Oy=…

A: Given fx=4x-1, gx=x2+1To find f(g(x))

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1