6 - s)° - 1 6 3 х Function O Not a function 9x + =D0 O Function O Not a function y = 94 - 2 O Function O Not a function O Function O Not a function 3.

Q: In Problem ,find an equation of the line L.

A: To find: The equation of line L. Given: The line L is passing through the point 1,2 and…

Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: a) f„(x, y) b) f (х, у) уу ух 1 3 Зу'х + 5ху 3y'x .3. f (x, у) 16x*y4 -

A: (a)

Q: Please solve

A:

Q: 2) 4)=1-ス 3x f(2)= (-)?(2) f(3)= (-*)3(3) f(4) = (-+)*() f(s) = %3D : (-) %3D こ %3D こ-」 64 %3D 4096…

A:

Q: a fix) = 5x+ 1, domain (xe R: -5 SxS 5) %3D b fix) = 4-2x, domain (x=-1, 0, 1, 2, 3, 4) c fx) = x,…

A:

Q: y = xe * satisfies the equation ry' = (1 – x²) y. %3D

A: Given differential equation  xy'=1-x2y

Q: If u(x,y) =3x2y+2x2-y3-2y2, then u is harmonic %3D

A: A function u(x, y) is said to be harmonic if it satisfies the differential equation uxx+uyy=0. The…

Q: af 7. Compute and дхду a²f : f(x, y)=x'y² – sin 2 + xe" - əx' əy

A:

Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

A: In the given problem we have to show that                                 x-1x+y-1β(x-1,y)=β(x,y)

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

A:

Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

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: (D^3 - 2D^2 + D) y= xe^x + 1, y(0) = y'(0) = 0, y''(0) = 1. By inspection method.

A: We are given a third order non-homogeneous linear ordinary differential equation as : y''' - 2y'' +…

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: 17 and g(x) = 'Vx, find (f o g)(x) and (g o f)(x). Then determine wh %3D fo g)(x)?

A:

Q: 37. y+ x2 = y* – 2x at (-2, 1) and (-2, –1) %3D 38. (x² + y) ² = (x – y)? at (1, 0) and (1, – 1) %3D…

A: A) given curve, y2+x2=y4-2x  at -2,1 and -2,-1B) given curve,y2+x22=x-y2  at 1,0 and 1,-1.we have to…

Q: Se-2t if 0 3,

A:

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: set of equation: +z = 1 ay + 3z = 5 3y + az = 6

A:

Q: f(2) — и(х, у) + jo(x, y) и(х, у) — е% сos x — х f (0) = 1

A:

Q: .1//3 7earctan(y) dy + y? 3

A:

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: Given f(z) = 6z* +3 and g(x) = VE +2, find the compositions: %3D %3D f(g(z)) = %3D g(f(z)) = %3D…

A: Given functions

Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 2. 13) 2-3 32'432* tanx A- y+y = secx ャツ 7- x+ 2x

A: Differential equation.

Q: Skelch he 4. Su face a) f(6,y) 9 4 (1) = ? +y" %3D ) f の(2,4) - 4-2-u 4- 2- 2. %3D

A: The surfaces are given below-

Q: 27. || x sec?y dA, R={(x, y) | 0 < x< 2,0 < y< /4} R 28. || (y + xy-2) dA, R={(x, y) | 0< x < 2, 1 <…

A:

Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

A:

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: 23. f(t) = 3t - 7, t 1 24. f(t) = 3t2 + 2t, t 3 %3D %3D t + 1 25. f(t) t = 2 %3D

A: in mutiple question we are only allowed to answer first question .

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

A:

Q: f(x,y)=x^2/y at (3,2)

A:

Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

A:

Q: fin y" given that x^2 - xy + y^2 =3

A:

Q: 2. Show that the function u = p(ry) + /TY p(y/x) provides the equation ‚Pu dy² y² = 0. %3D

A:

Q: (g) 5* = 1 (j) 2* x 4*-1= 82r-1 (k) 3* x 92 = 272r+1 (h) 34x = 27*+ 3 %3D %3D %3D %3D

A: Our Aim is to solve:-(1-h) ⇒34x=27x+3 -(i)Solution⇒ Taking logarithm in both sides of equation-(i),…

Q: 7. | y² dA, D= {(x, y) |–1< y< 1, -y -2 < x< y} D y - dA, D={(x, y) | 0 < x < 1, 0 < y< x} x + 1 8.

A: On solving these integration we will get

Q: If f(x,y,z) = In(xz) - 2xy2z, find fzxy at the point ( 0.5, 1,-1) a) 2 %3D -3 d) – 2 e) - 4 g) None…

A: ANSWER

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: az Find at (2, -2, 1) if x2 + y? + z2 = 6xz+ 6yz + 21 %3D 8. %3D %3D dy %3D 25 25 1.

A: Given,x2 + y2 + z2 = 6xz + 6yz + 21

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: (e) 4u +5uy +uyy +Ux +Uy = 2. %3D

A: To classify and reduce : The partial differential equation 4 uxx +5 uxy + uyy +ux + uy= 2  to a…

Q: af 8. Find and ax of f(x, y) = e-* sin (x + y) ду

A: A detailed solution is given below.

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: UH = 19 FH = 5x-7 H. E %3D U

A: Given - A parallelogram(figure) To find - Value of x in the given figure

Q: Is AX'Y'Z' a reflection of AXYZ across line g? g X. Z' Y X'

A: