Given f(x) = 3x, and g(x) = Vx² – 5 a) (g + f)(x) b) (f – g)(4)

Q: m (x) = V - 6x 1. f (x) VI +2-3 1 t(z) V9 - 1 9-r

A: we have to find the domain for the following function

Q: Find the real valued general solution of y" + 5y = 0. %3D

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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 DF of fcxiy)=x²e° at the point (-2,0)-

A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

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

A:

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: If f(x,y)=xe"*/2+135x?y3, then əx²əy³ at (1,1) is equal to

A:

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

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Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

A:

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

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Q: If f(x) = x²/3x+1,then f'(x) %3D -3х2 - 2х A V3x +1 9x2 +2x B V3x +1 -9x2 + 4x 2/3x+1 15x2 + 4x D…

A: Given that, The function is following, f(x) = x23x+1 We have to find the first derivative of this…

Q: a. Solve f'(8) for y = Vx – 4x-1 + 2x x² – 6x + 9 b.The y'for y = x – 3 c. The f'(3) for y = v3x² +9

A: Given: a) y=x3-4x-1+2xb) y=x2-6x+9x-3c) y=3x2+9

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

A:

Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: 5. y = xArctanx - In v1+x

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Q: 14. The f'(4) for y = v3x2 + 1

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Q: y" -4y' + 13y :

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Q: b) f(x) = V3 + x² at x = -1

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: 8. f (x) = x² – 6 , Po = 3 and p1 2 then by secant method p2 is

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Q: I Sdve for dy using the four-step rule 2. y = x"- x 5X-3 ソ= 4- 3X

A: We have to solve the problem

Q: What is the general solution of xy^2dx+x^2ydy=0

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Q: 3. y = x³ – 3(x² + w²) 4. y = x7 + V7x - 1 TT + 1

A: Differentiation wrt x

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

A: Follow the steps.

Q: f(x, y) = 6 – V4 - x2 - y2 is

A:

Q: Maximize q(x) = 2x² + 72xy + 23y² , where x = subject to the condition ||x|| = 3. %3D Select one:

A: This is a problem of optimization.

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

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Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

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

A: We will find out the required value.

Q: What is the antiderivative of f'(r) = - 4x + 3

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Q: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

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Q: Suppose z – 2z +x=5, What is the value of y ?

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Q: 1.3 Verify that f d = xp= x2V1+ x2 V1+ x² +c using the method you were taught in this course.

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Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

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 -

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: y" ofy = (x – a)V2ax – x² + a²arcsin ()

A: Given that : y = (x-a) √(2ax-x2) + a2 arcsin(x-a/a). We find y" or second derivative of this given…

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: b) f(x) = v3+ x² at x = -1

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Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: Function as, y (x) = (x² – 2) (3x + 2) %3D

A: Given,          yx=x2-23x+2