9.1.5 Random variables X and Y have joint PDF 120, y 20, z+ys1, 10 otherwise. fx.x(z, v) - What is the variance of W = X + Y ?

Q: 7 Find the li foc.y)=3=

A: f(x,y)=3xe^(-xy/3) f(x,y)=3xe^(-xy/3)  given (x0,y0)=(2,0) linear approximation…

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: The function f (x, y) = x² + xy - x + y² + 7y+29 has exactly one critical point. What is it?…

A: Given that the function fx,y =x2 +xy-x+y2+7y+29    .

Q: f(x, y) = √5x² + 4y² fa(2, 1) =

A:

Q: iven f(x, y) = 100x + 80y - 3x² - 5y² - xy valuate f(7,6) =(7, 6) =

A: Given query is to find the value of the function at indicated point.

Q: Let f(x, y) /150- 4а2 — 2у? 4x? – 2y? Evaluate f(1, 3)

A:

Q: Find the aven bounded by y=x and y =x+2

A: First draw the graph of the function and find the intersection point of the graph:

Q: T * X 3 ^x²³ 5 X X 2 y dy 13 * 2 9 2 2 Z

A: Given integral is  ∫xx3 yx dy            Step(1) :   Here  the integral function…

Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

A:

Q: of of and ду Find f(x,y) = Vx + 3y?

A:

Q: Calculate fz(3, 6, 9), where f(x, y, z) = xyz. fz(3, 6, 9) =

A:

Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

A:

Q: Let f(x, Evaluate f(3, 4) y)=√150 - 4x² - 2y²

A: fx, y=150-4x2-2y2

Q: Find the antiderivative of (25x2+48x+15)/(x-1)(x+2)2

A: Antiderivative of a function f(x) is given by :…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.