If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a), f(a + 1), 2f(a), f(2a), f(a²), [f(a)]°, and f(a + h).

Q: Suppose the relationship between Y and X is given by: Y = 25 - 3X What is Y when X is 0?

A: Given,    The relationship between Y and X is given by,   Y=25-3X   The objective is to find the…

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Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: 2x + 3, if For f(x) %3D (3x²- 11, if 17) f(5) = 18) 3f

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Q: The range of y = 4 – x2 is

A: From the given problem:   y=4-x2   As we know that the parabola  ax2+bx+c with vertex xv,yv then:…

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A: Consider the figures,

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Q: Ду Given y = x² + 3x + 5, find Ax

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Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

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A: Given,           Fx=x2+6x-7

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

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A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x?y2 O 40 О 34 О-32 -28

A: Let's find.

Q: If f(x) = 3x and g(x) = 2x – 3, find (fg)(-1). %3D

A: The given functions are, fx=3xgx=2x-3 We need to find the function, fg-1

Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

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Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

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A: We have given,

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Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: +-1--34 -4++-0

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Q: If fx) = 2x + 4 and g(x) = 2, find fg(x)) and g(fx)). Ag(x)) = 3 g(Rx)) = 24 + 4 ol+

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Q: If fxy (x, y) = y for 0 2X - 2) =

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Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (2x - 3y)3

A: Given function ƒ(x, y) = (2x - 3y)3 Firstly find δfδx δfδx=δδx2x-3y3 Apply the chain rule…

Q: fx+ h) – f(x) otient, fx) = -2r² - Sx – 8

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Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: What are the points of intercections of Y= x^3+2x^2-x+1

A: The possible way to determine the points of intersection is between two curves.Since in the question…

Q: -V4-x² c3-x²-y² xdzdydx, -5+x2+y2

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Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

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Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: f R(x) = 4x and C(x) = 0.004x + 1.5x + 50,

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Q: Determine its vertex and axis of symmetry    f(x) = 3 (x +1)^2 - 6

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Q: given fx= 7x+3 then f -1 (x) will be?

A: f(x)= 7x+3 Let y = 7x+3

Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

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A: Given query is to find the derivative of the expression.

Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

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Q: Find The derivatve of this fanction y= (x-1)(x-4) (2-2)(x-3)

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A: Independent and dependent variables: Two variables are said to be independent if the result of one…

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A: Consider  xy3+yx3=x−3y

Q: Find the points of discontinuity for 3(х+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х — х2 b) f(x): 9— х2 -

A: