If fxy (x, y) = , ,0 < « < 2,3 < y < 5, then P (X < 1, Y > 2) =

Q: f(æ, y, z) = æ²y+ 2y²z+ 3æz?. Compute fa: (1, 1, 1). None of these. 3

A:

Q: Find the domain and range of:

A: (a) We know that the domain of the square root function is always greater than equal to 0. Thus,…

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: if f(x,y)= ln(x^2 +y^2), find fxx(x,y) + fyy(x,y)

A:

Q: b) If ƒ(x,y) = 8x³y+ 3xcosy – 4y² +7e2x then verify fxy = fyx

A: We first differentiate with respect to x, then with respect to y

Q: S = In sec 3x| + C 13. z sec² 3x dz %3D 3 - tag 3z,- å

A:

Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

A:

Q: Suppose f(x, y, z) =

A: Given,            f(x, y, z)=1x2+y2+z2 and W is the bottom half of a sphere of radius 6.

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=1/3,y(0)=1, then y(x)=?

A:

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: Determine whether X and Y are independent: 2e--2y x, y > 0 a. fxy(x, y) =

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

A:

Q: 2 3 Compute fyz, if fx, y,2) = x² -x³y² -z'. %3D xyz» OA7 B. 5 OC.0 D. No one correct. O E. 6

A:

Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

A:

Q: 4,5 f (x,V)= Sx"y%,compute fx and fy

A:

Q: Compute (T2 T)(x, y). T(x, y) (3x, 7y), T2(x, y) = (x-y, x + y)

A: We have to find T2 composition T1 .

Q: 1- S, (xy – y³)dA (1,y]x[0,1]

A: Please ask only one question at a time.

Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

A:

Q: The closer to zero the stronger relationship and the closer to 1.0 the weaker the linear…

A:

Q: Let f(x,y,z) = x2yz4 + 4xy²z+y²z - 3y³z Find fxyz

A:

Q: f (z,y, z) = x² + y² + 2² subject to zyz = 4

A: Given: fx,y,z=x2+y2+z2 subject to xyz=4 Let gx,y,z=xyz-4 Using Lagrange Multiplier fx=λgx, fy=λgy,…

Q: f(x, y, z) = 3x + 2y + 4z, x2 + 2y2 + 6z2 = 21

A:

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

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

A:

Q: 3. If z* +x²z+z+y = 0 find (1) Əz/ax, (2) əz/əy, (3) ²z/dx², (4) d²z/@y², (5) Fz/dxəy, and (6)…

A: As per our guidelines, I am only solving the first three. For other kindly upload the question…

Q: f(x, d,Z)cbxcly dz

A:

Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

A:

Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: I need help with part c - covariance of xy.

A: Reviewing information, X &amp; Y are r.v.s P(XiYi) X Y 0.8 100 300 0.2 300 100

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: *宗+> B. If z = show that x 3z %3D x+y

A:

Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: Compute ƒxxx and ƒxxy for ƒ(x, y) = x3y.

A: Given function - f(x, y) = x3yConcept - While partially differentiating with respect to x, other…

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

A:

Q: If flx.y.z)=x²y3-y?z3 Then fxyz= 6xy? ulan O ihi O

A: False

Q: Prove if X,Z, y > 0 xy (3x +2y – 4z)+ yz(y+3z – 4x)+ xz(x+2z –- 4y)>0 then

A:

Q: Calculate f,e,5 as if f(x,y, z) = z In Vxy

A: here we have to find the functional value

Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

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

Q: If 立= 2t, t-3t dt, then |ü||=

A: To find ||u||^2 from the given integral.

Q: f (x, y) = {* - kx(x — у),0 <x< 2,-х <у<х elsewhere

A: (i) Consider the property for a joint PDF, ∫-∞∞∫-∞∞fx,ydydx=1 Substitute the values,…

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: Suppose T(x,y) = (2x, 2y) and U(x,y) = (x, -y). Is T∘U=U∘T?  Justify your answer.

A:

Q: If f(x,y)=x2+2y2, then fx(2,1) and fy(2,1) are...

A: f(x,y)=x2+2y2,find fx(2,1) and fy(2,1)

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=13,y(0)=1, then y(x)=?

A:

Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

A:

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

A:

Q: If dr/dt= -r5, what is r(t)?

A: Given drdt=-r5. The we have to find r(t) = ?