If z = x² + 3xy – 4y², which of the following is equal to 2 дх А. Зх- 8y С. 2х + Зу В. 2х — 8y D. 3x + 3y

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

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Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: Find the solution of 9 y" + 6y' + 9y = 0 that satisfies y{0) = l,.y' /(0) = 0.

A: Solution: Consider the given differential equation is: 9y'' + 6y' +9y = 0or 3y'' + 2y' +3y = 0 Put…

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Q: If 3x = 9y and 27y = 81z, find x/z?

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Q: (x + y + z) dA. 3,

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Q: Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

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Q: 2y dr - (x- y) dy = 0, when x= 4, y = 4. O x-y= x O x+y = 4y Ox+4y = x D x- y = 4

A: We will solve it by converting into linear differential equation

Q: EX:- Select Analog to Convert 2X + y - 3Z - 2u = 0 __(1) X + 2y +Z+ u = 0. (2)

A: We are given a linear system and we have to convert it into analog matrix form.

Q: of (x, y) = a? + 4y

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Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: y + z = 6, x + 2y +3 nsistent, if λ is

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Q: Given that 6x + 2y = 0 and x² + y2 = 2(32 + xy) Calculate the value of x and y.

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Q: 2.~rw 4. (CAh)→-1 - (CAh) 6. ~j→-(sv~ p) - (sv p)

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Q: For which values of the constant c is a linear -日 combination of a and where a and b are 62…

A: We have to find values of c

Q: Z=2x3 -4xy2 +3y3 find dZ

A: the given function is: Z=2x3-4xy2+3y3 we have to find dZ.

Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

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Q: Find UW. V W D 9x + 1 U 7x + 13

A: Consider the given figure. Consider the triangles △VDU and △UDW. Note from the given figure that:…

Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: 32 √ √(x² −2xy+3y²) dydx = =0 y=0

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Q: If y varies jointly as x and the square root of z and if y = 60 when x = 2 and z = 9, find y when x…

A: The value of y is:

Q: For Vx - 3 evaluate y when y = 4. O 4 O 4 O-2 O 2

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Q: If (x and jy)² = 3 + j8, find x and y.

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Q: If A = x° yz? î – 3x² z³ j + yz? k , then a² A at the point (1,0, 1) will be дхду 3 î -3) -3 î

A: The vector A is A=x3yz2i-3x2z3j+yz2k find ∂A∂y=x3z2i+z2k ∂2A∂x∂y=3x2z3i the point 1,0,1…

Q: 3x – y + z = –1, -x + 3y – z = 7, u+ 3z = -7.

A: Given: 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

Q: If 3x² – 4xy = 1, then when x = 1, dy A. В. 1 c. D. 0 E. - 1/2

A: We will use implicit differentiation to find the value of the derivative of y with respect to X in…

Q: · ds, where y²+² and S is the

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Q: f(x, y) = x³ – 2ry + 27y³.

A: Given: f(x,y)=x3-2xy+27y3 To find: Local extrema and saddle point of the function.

Q: Solve for x,y,z:  3x +2y − z = − 1  − 2x − 2y +3z = 5 5x +2y − z = 3

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Q: (d) If x y/1-y², find

A: Solving question1 for other question repost.

Q: If y = 4x2 + 2x4, and x is changed from 3 to 3.01, then the value of dy is.

A: The given function is: y=4x2+2x4 Now, given that x changes from 3 to 3.01. So, ∆x=3.01-3=0.01. So,…

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: Find mZT. 3-/2 S R mZT = ト 3.

A: Solution-  In the given figure (for angle S)  Hypotenuse is = 3√2 Adjacent = 3 So formula is given…

Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

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Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: Express b¹yy, in the terms of x variables where y, cx, and b¹c₁k = 8½.

A: Given: The expression is bijyiyj.  To express: The given expression in term of variable x. It is…

Q: Eliminate the arbitrary constant on the given equation: y = C1x2 + C2e O (2? – 2a) y" + (x² + 2) y –…

A: Given equation is  y=C1x2+C2e-x      ........(1)

Q: ·S- Find y dy Vy+2 using the substitutionu +5=√√y+2. A √y + 2 − 5 ) ( 5 √√y + 2 + y +24) + C (В…

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Q: For Vx - 3 evaluate y when y = 4. O 2 O 2 O 4

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Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: If  w = 2x3y + y2z + z3,  find the following. (a)     wxxy =     (b)     wxyx =     (c)…

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Q: If 5x* – r'y + 6x+ y² = 15, then dy/dr is: %3D

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Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?…

A: Solving the given differential equation

Q: Q2/ If y,= 3, yl= 12, y2= 81, y3= 2000, y4= 100 calculate A*y

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: If 2* + 2Y = 2*+Y, then dy is equal to - 2 +2Y (A) 2 - 2y (B) 2* +2" 1+2x+y (C) 2x-y 2 –1 2x+y -2x…

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Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. |

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