Find the Jacobian for this change of variables: x = 2v - 7u, y = 2v - 4u

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: 6) Find the component of A = 2āx + 2āy + āz in the direction of B = 2āx + %3D 10ãy – 11āz.

A: Given vectors: A→=2ax→+2ay→+az→ B→=2ax→+10ay→-11az→

Q: (i) Find the covariance of X and Y

A:

Q: yYO)=0, YC0j -10 5y"ty's-6x

A: We have to find the solution of given initial value problem.

Q: Which transformation could have been applied to AWXY to obtain AW'X'Y'? y W W1

A: First analyze the given figure and see the position of both triangles.

Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

A:

Q: () Find the covariance of X and Y

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x + y)/(xy - 1)

A: We first find the partial derivative with respect to x. Use the quotient rule.

Q: Use the Law of Cosines to determ X =

A:

Q: Find: Ex, fxx, fy, fyy, fxy, fyx F(X,9) = 2×-3yー4 %3D

A:

Q: Use the change of variables u = y and v=xy to evaluate

A:

Q: y' = xy; when x=3, y=1 %3D

A:

Q: Find the stion 2) y"+@°y= 0, y(0) = A, y'(0) = B.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = xy

A: ƒ(x, y) = xy δƒ/δx = ? δƒ/δy = ?    While calculating δƒ/δx, y is considered as constant. While…

Q: JK with endpoints (3, - 1) and K(2, 4) under the translation right two units and down three units a.…

A:

Q: dy = xy-3, y(1) = 2 linear? Which transformation should be use to make the equation dz O a. y3 = -3…

A:

Q: Find: WxtWy Wxy,xx Wyy W= I+xy-z²

A: GIVEN:- W=1+xy2-z2  To find:- Wx , Wy , Wxy , Wxx , Wyy , Wyx

Q: Are the functions y1 = xe*and y2 = e*linearly independent?

A: If the Wronskian of these functions vanishes everywhere then they are linearly dependent, otherwise…

Q: d²y Find if y = , dx2

A:

Q: -) f (æ, y) = xe"

A:

Q: y = xy can be classified as FOLDE and B dx

A: We have to choose the correct answer from the given option according to the given condition

Q: (a) shifting 9 units downward y = (b) shifting 4 units to the right y = (c) reflecting about the…

A:

Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

A:

Q: y" – y = 46(t – 2) + t². y(0) = 0, y'(0) = 2. Con

A:

Q: let r (t) = The y component of r' (5)

A:

Q: Which of the following has a horizontal shift right 2 units? O y = Vz+2 +1 +2+1 %3D O y = VI+3 +2 O…

A: Given,         A horizontal shift right 2 units.

Q: Use the chain-rule and find x and y in terms of x, x, and if: a) y= 4x b) y= 10x

A: We only solve one problem at a time so please ask them one by one.

Q: If y varies directly as x and z, and y = 105 when x = 7 and z = 5, find y when x = 10 and z = 2. %3D…

A:

Q: H.W Find Iy, lo, Rx, Ry, Ro, x and ỹ

A: Sol

Q: Find the linearization at the point indicated: v(t) = 32t − 4t2, a = 2

A: Linearization of a function is a method of taking the gradient of a nonlinear function with respect…

Q: y dy √y+2 15. Find /y using the substitution u +5=√√y+2.

A:

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: -3 Which transformation should be use to make the equation = xy%, y(1) = 2 linear? O a. y4 = O b.…

A:

Q: 6) Find the component of A = 2ax + 2āy + az in the direction ofB = 2āx + %3D %3D

A:

Q: Find Y in terms of x and y. d2y

A: Given an equation in terms of y and x as shown belowWe need to differentiate it with respect to x…

Q: f(x, y) = 9 – x2 | R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)

A:

Q: Y; = pY;-1 (Y1, Y2, Y3)™. What ar

A: suppose that ε is N3(0,σ2I3) and Y0~N(0,σ20), independently from εi where i=1,2,3…

Q: t3 dt, find and simplify Y - If Y = 1+t5 3 2)

A: Given: y=∫3x2t31+t5dt

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: Which transformation should be use to make the equation Ty 3, y(1) : = 2 linear? %3D O a. y3 = v O…

A: We will find out the required solution.

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2…

A:

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: Find: Wx,Wy Wxy Wxy,Wxx Wyy W=xY+Cosy+ylnx

A:

Q: T(x,y) = x + xy + y - 12x + 2 on the rectangular plate 0sx<9, -5<ys0

A: We have to find absolute minima and maxima of given function.

Q: find the Jacobian ?(x, y)?(u, v) for the indicated change of variables.   x = u2 + v2, y = u2 − v2

A: We know that, the Jacobian of the transformation given by x = x(u, v) and y = y(u, v) is…

Q: 3.) y = Vr, y = 3, x = 0 around the x axis.

A: To find: The volume of the solid that is generated by the revolving the given function y=x around…