M(x,y,z) d.

Q: [1 Given that A 1 1/3 and A = -I, d %3D C What is the value of C?

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Q: T(x,y, z) = x² + 2y² + z

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Q: %3D Given that m AB = 70° and mLE = 20°, find m bC. %3D C. D.

A: Given,          AB⏜=70° and ∠E=20°

Q: Find the value of zo so that dz = - 2ni . %3D = 9 (z – zo)(z – 15i)

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Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: E = {(x,y, z) E R³ |z² + y³ < z< 12 – 2x² – 2y²}. %3D

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Q: 2. y" – y – 2y = 4e¬t %3D - -

A: Solve the differential equation

Q: D = {(r, y) : 1 <Ise, 0<yS In(r)}

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Q: What is the point on y = 2 Vx that is nearest to (4, 0) ? A B (2, 2 /2) 2/6 3 3 D O (2 VE.24)

A: First of all check which of the given points lie on the line y=2x by putting x and y values of the…

Q: What is the degree of the DE A B 4th degree D 3rd degree C no degree с 5th degree ay 3-)²-(2²) əx²…

A: Solution

Q: (x? + y?) dy, where C is given in the accompanying figure (3, 3) C (0, 0) (3, 0)

A: Given, ∫cx2+y2dy where limit of y from 3,0→3,3 so integral is: ∫03x2+y2dyx2y+y33033x2+9 where x=3

Q: a) What is the dimension of {(x, y) E R² : x + y = 0}?

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Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: What is the point on y = 2 Vx that is nearest to (4, 0) ? A) (2 V7.27) B) (2, 2 Vz) C) 2/6 3 D)

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Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: (b) Hạ: u < HO,n = 30, t = 2.431 = 0.011 P-value %3D

A: Given : Ha : u &lt; uo  n = 30  t = 2.431

Q: Solve the given DE. (D³ + D² + D+ 1) y = 0 ; y (0) = 2, y' (0) = 2, y" (0) = -4

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Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

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Q: C) d4 器 ★竹+ s×M 3. %3D +2x 4. If ap diffelentiat e with les Pectto Subject. 1 / 7 l

A: given,        y=x44+2x2

Q: What is the dimension of {(x, y, z) E R³ : x +y+z = 0}?

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Q: Find EF in the trapezoid. A 4 D E 2x+6 5x+4 EF = %3D

A: Find EF in the trapezoid.

Q: dp For p(q).= q¯³, dq -3 dw For w(u) = u7, du %3D %3D

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Q: (b) F. dr = 1 |(가를 -16+ 를) C2: r(t) - Ostsi %3D

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Q: dz, C:z| = n. %3D 2++13z2+36

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Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

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Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

Q: The general solution of the DE x?y" + xy' – 9y = 0 where y(1) = 2 and y'(1) = 0 is %3D

A: Given differential equation: x2y''+xy'-9y=0 wherey1=2 and y'1=0

Q: Find the solution, (D3+3D2+3D+1)y = 0 A y = c,e*+ (c,x+czx²)e-* y = c,+c,e"+c;e¯ B C D y =…

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Q: II. (²z + y²z) ds S is the hemisphere x2 + y? + z² = 9, z

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Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: a) m(t) = = 2-et b) m(t) = e2(et-1) c) Using results in (a) and (b), Find the E(Y) and V (Y)?

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Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: What is the value of (z + 1)² d² z(I + 2) around the circle |2 – 1| = 3?

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Q: LaS xsin(y?)dydx 1-

A: As per our guidelines we are supposed to answer only one question because there are multiple…

Q: Diayonalie he metux Ao and hence find At

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Q: T (x, y) (2x,y) is an is %3D

A: T(x,y)=(2x,12y) The transformation of any figure changes the size, shape and the position to create…

Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

Q: 1 What is h(z) dz? 2ri C4

A: In this question, we evaluate the complex integral by using Cauchy integral formmula.

Q: xy.z = p²sind x,y,z %3D True false

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Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

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Q: ,2 y² e2y dy = e2y 2 (y² y + C 4 2

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Q: Find the gereral Solution of the fille d dffferential equation. 3,n1 %3D | -

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Q: Given y= x ln? (3x), then dy is dメ A\ y =X [9+ ea ( 3x) ] %3D 3 C/y21n(3x)+ [つと ( 3x) こ

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Q: H = 2 = 0, n2 = 22 and n, 18, thus df is: %3D %3D

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Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: In the diagram below we have that ST B = 69° and CDU = 62°. %3D %3D E A S -V U Find: 1. ВСТ 2. ABT =…

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Q: 9. [y+xy?)dA, R = {(x, y): 0 < x < 2, 1 < ys 2} %3D

A: Definition used -         ∫∫Rf(x,y)dA=∫ab∫cdf(x,y)dydx

Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

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

A: Given query is to find the value of c.

Q: What is the form of y, given (D² + 9)y = cos3x С. Ур 3D х(Asin3x + Bсos3x) Yp = x²(Asin3x + Bcos3x)…

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