u²-1 3 Q4- Given y = and Vx? + 2 find ỹ u²+1

Q: • [√x S: z = 8 - x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

A:

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: Ww.3.10® Expess E Expess i 5 as a livear combination of 2 and Vo

A:

Q: 3.) If x = 0, y = -4 and z = 3 find the value of: z* + y² z- y

A: Given  x= 0,  y = - 4,    and   z = 3 To find the value of  (zx + y2) /(z - y)

Q: W= 1-Xy"- Ż Find ニ Wそそ 3 Wzx DWyz (6)W xz 9. 3.

A:

Q: Solve V²u = 0, a <r < b, 0 < 0 < 2n, U, (a, 0) = f (0), ur (b, 0) = g (0), 0<0< 2m, where | f ds + |…

A: We will use the general solution to the 2d Laplace's equation in polar coordinates and apply the…

Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

A:

Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: If -6x° + x* -y 3x+y? 3. if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)= %3D

A: We have to find partial derivative of given function.

Q: solution of the equ substitution u = 1, y

A: Introduction: The derivatives of a function define its rate of change at a given point. These…

Q: Sį : -8(y – 2) = (x – 1)² S2 : y + z = 2 S3 : x = 0 S4 : y = 0 S3 : z = 0 %3D

A:

Q: x  =5u - v, y = u + 3v

A:

Q: Integrate by switching to spherical coordinates.

A:

Q: 2y - z 1, e solution if K=

A:

Q: What is the end behavior for y = -2|x – 3| + 3. A. x → -00, y → -∞; x → +∞,y → -0 C. x → -00, y → +∞…

A:

Q: 3) ryy'-r. +1 = ry +y +r+1. Ans.: y +1 x(Ce-1).

A:

Q: (a) z = -V3+ i (b) z = (-1 - iv3)2 (c) z = 2 1+iv3 (d) z = (e) z = (1+iv3)(1+ i) %3D

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: n+1 n+1] Un V5 2 as the final solution. Observe that despite the V5s: uo = 1, u1 = 1, u2 = 2, u3 =…

A: Let us consider a second order difference equation  un+2=un+1+un…

Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

Q: 9. T: R² → R², T(x, y) = (x + 2y, y – x) 10 T. D2

A:

Q: 7. Particular solution of (D³ + 12 D2 + 36 D)y = 0, when x = 0, y = 0, y' = 1, y" = -7

A:

Q: 7- Deteremin all Max and min value of y= xe +3e

A: The given function y=xex+3e3

Q: 2(x-1) + If y = Vx? – 2x then y' 3x2-2x T O F

A:

Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 6. Given: y + 1+i 1-i 14 2+i ; find xy.

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: V5+3 J5 - 13 V5-13 V5 + J3 If x = and y find the value of (x +y.

A:

Q: y(v+2) v'(v+2) 7v-3) (v-3) O (-3) y+3 P Type here to search F2 F3

A: In the given expression Let a = y(y+2), b = y2(y-3), c = y2(y+2), d = (y-3)2

Q: 7. ty' - 2y = 0, y(1) = 4 8. t'y' + y = 0, y(1) = -2, t > 0 %3D

A:

Q: 3.) If x = 0, y = -4 and z = 3 find the value of: z* + y2 z - y

A:

Q: . Solve V²u = 0, a <r < b, 0 < 0 < 27, u, (a, 0) = f (0), u, (b, 0) = g (0), 0<0< 2m, where | f ds+…

A: As per the question we have to use the given boundary conditions to deduce the exact solution to the…

Q: (c) y" - ry +y = ', y(1) 1, g/(1) = -1, r>0

A:

Q: O The Solution o (4-2) P+(Z-x)=XY aLcarding Oquation method is f(X+y +2, X²+y 2²) to Lagiangus…

A: Given (y-z)p+(z-x)q = x-y By Lagrange's method, we get dxy-z = dyz-x = dzx-y On adding equation (1)…

Q: 2 sec 0 r drde = x² + y² dydx %3D 0. True False Reset Selection

A:

Q: [x x2-yz 1 is 0 The value ofy y2-xz z2 – xy 1 Select one: OTrue O False

A: The given matrix is, xx2-yz1yy2-xz1zz2-xy1. The objective is to check the value of the determinant…

Q: Мaximize p = 10x + 10y + 15z subject to + z s 12 X y - 2x 2y + z 2 14 -y + z 2 4 x 2 0, y 2 0, z 2…

A:

Q: а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T

A: Given data:   a) The given function is: y=ln(x2+4)(2x+5).   The expression for derivative of the…

Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

Q: C (7,1) and r = (x - h)2 + (y – k)2 = r2 O 0 = 1 + A+ X(q+ zA + zX

A:

Q: 2 +3 z4 – 222 +1 +e/dz, C: |z- i – 1| = 2, CCW. 8. Evaluate C

A:

Q: X (2x +1) ax wing u- technique

A: To evaluate the integral: ∫x2x+12 dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫u'∫v…

Q: Evaluate 2 1 xe*y dydx e2 +e-1+ 3 e? - e-1 -3 Option 2 Option 3 e2 +e-1-3 Option 1 None of the…

A:

Q: Maximize p = 5x + 7y + 4z subject to x+y+z≤150 x+y+z≥100 x≥0, y≥0, z≥0. p=? (x, y,…

A: According to the given information, it is required to solve the maximize the given problem:

Q: y" = 4(y-x), 0 sxs1, y(0) = 0, y(1) = 2, %3D

A: To check: given 2(a)  has unique solution.

Q: 7- Deteremin all Max and min value of y= xe* +3e³

A: The given function is y=xex + 3e3. Determine all maximum and minimum values.

Q: 11. T: R³ R³, T (x, y, z) = (x + y, x − y, z)

A:

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz