f(x) = x²+ax+b r+c

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

A:

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

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Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

A:

Q: f'(x) = z - 4r+ 12z + 12 and f(0) = 7.

A: f'x=x15-4x3+12x+12  &  f0=7 Integrating on both sides with respect to x, we get ∫f'x…

Q: 3 11. f(x) = Vx-6Vx 12. f(t) = t3 -t3 +4 ww-

A: Basic derivative formula can be used to solve the questions. ddx(xn)=nxn-1ddx(cosx)=-sinx

Q: write the domain in interval notation.

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Q: What is the counterexample of x+x>x ?

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Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: b) f(x) = V3 + x² at x = -1

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Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: C(4x – 2x2) 0 < x < 2 - f (x) = otherwise

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: f(x)=x 2,g(x)=x+1(fog)(x) y (fog)(5)

A:

Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

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Q: f(x,y) = (x³ − x)(x² − 1). find fxy(x, ×

A: We have given that ,  fx , y = x3 - x y2 - 1 We need to find , Partial derivative fxy . We know that…

Q: f(x.y) = 4x - 8x + 5y² + 6; R= {(x.y)(x= 1)² +y² s1}

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Q: f(x,y) = x +y +8x- 2y

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Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

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Q: Determine fx (x); f(x) = x² · e*/2 %3D

A: d(uv) = udv + vdu

Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: [v= -y +2x ,x' = 4y + x + t

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Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: Find d3y dx3 of y = x³e-x

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Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: px + qy=z-a √x² + y² + z²

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Q: a.f(x, y) = (x² +x + 1)e¬r²/10-y²

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Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: The discriminant of ax2 + bx + c = 0 is defined by_________.

A: The given equation is ax2+bx+c=0.

Q: f(x) = v2x2 – 13 s %3D -

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Q: f(X) = %3D Vx-2

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Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: f(x,y) = x² - xy +y² – 9x + 6y + 10

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: Find Vf if f = 2 2 2 x² + y² + z² V.

A: Given,            f=1x2+y2+z2To find : ∇f

Q: (f) x²y "-(x² +2x )y '+(x +2)y =x³ (f) (x – 2)² y "+(x +2)y '+ y = 0

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

Q: f(x) = x2-4x+1  f(c+2)

A: Let's familiarize ourself with f(x) = x2-4x+1 In oreder to evaluate the value of function for any x…

Q: b) f(x) = v3+ x² at x = -1

A:

Q: x - 1 = λχ y = 2 = λy z = -λz (x² + y² = z² = 0,

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.