Consider the system: f(x, y) g(x, y) (2₁.1₁) HABE x = y + 1 = 0 2 =y=x²-1=0 DERE or x₁ = 1.1 and y₁ = 2.1, we have 1 r(x1, y₁) =

Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

A:

Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

Q: 8 Use graphical method te: Manimize k=-50xt20o4 Subject to 2x-42-5, 31 tyz3,2x-34<12 Choose the…

A:

Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

A:

Q: x+2y-z=2, y+2z=1, x+y-3z=1 what's x,y and z here?

A:

Q: The temperature in an auditorium is given by T = x² + y² z. A mosquito located at (1,1,2) in the…

A: We have to use directional derivative  and direction of maximum change .  direction of maximum…

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: x = 3u-5v, y = 4v - u implies d(u, v) d(x, y)

A: We know  ∂x,y∂u,v=∂x∂u∂x∂v∂y∂u∂y∂v

Q: f(x y, z) = x2 - 8y5 + z -4. Find (-3, 1, 5) for O a 1 O b -4 10 O d -5

A:

Q: only part b

A:

Q: x + 2y + 37 = 0 c) Find the solution r = (x, y, z) to 3x + 2y + z = t as a function of t. %3D 2x - y…

A: Given: The system of equations is  x+2y+3z=0            ...13x+2y+z=t             ...2   2x-y-z=3…

Q: 6xy — 2x — 8zx2 = 0 6xy — у — 2zy2 = 0 4x² + y² − 2 = 0

A:

Q: Let U(z, y) (2x +3)(y+5). %3D Select the correct expressions for Uz and Uy: (A). Uz= 2x+3. %3D (B).…

A:

Q: Iff (x, y) = 4x³ +7y², findf (1,2).f; (1,2).f, (1, 2). f (1, 2) = fx (1, 2) = fy (1, 2) =

A:

Q: Obtain the GS of: 2 (Згу — 4у + 6) dz + (23 — ва? ? — 1) dy %3D 0 - a. x³y – 2x?y3 + 3x² b. x3у —…

A:

Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ?

A: A detailed solution is given below.

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

A:

Q: For two points (x1, y1) and  (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say  (x2,…

A: There are about 4 functions provided.To show:They are Schur convex or not.Concept used:i) Any…

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

A:

Q: (D² - 3D + 2)y=e5x, Find Y = Yc + Yp a. 1 0² C²²² +₂²³ +2² Cet C 2 2x 5x 12 O b. O C. O d. Ce + Ce 2…

A:

Q: A company produces two types of solar panels per year:x thousand of type A and y thousand of type B.…

A: Given that,

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: Which of the following equations is variable separable? O a. (3a2 – y²)dx – 2aydy = 0 O b. (z² +…

A:

Q: :Max z=6x + 8y subject to x +y 0, y=0.

A:

Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

A:

Q: ScF· dĩ, where F(x,y) = (6x - 2y)7+x²7, and C is the line segment Evaluate from (6, -3) to (0, 0).

A:

Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

A:

Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

A: