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: 15. Use the From question #13. Between what two years did attendance For both grades drop? double…

A: Given: Use the double line graph from question #13. Between what two years did attendance for both…

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) =

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Q: a/ himit function fove/ メ A+メー be s- メ<1 X-1 @ existing and evennes Dexisting and cvennes 2. O Non…

A: Let's find limit.

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: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

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

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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Q: Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

A: Given that f(x, y, z) =x3 +5x2 y z +3xz+3 The directional derivative is a concept from multivariable…

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

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

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

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

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Q: Which of the following is an antiderivative of f(x)= x-3 + 3e6z ? Select one: O F(x) = 긍x2+ O None.…

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Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

A: Given function is F→x,y,z=9xyj^+5xyzk^. To find:  ∇×∇×F→ Concept: Cross product formula for given…

Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

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Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby…

Q: if r'y-- 2y + 1.

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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 :…

Q: If i = xi+yi+zk then grad (r") is equal to

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Q: It is the case that (x4 – y4)", where A=7 and n > 0 is a parameter, simplifies to x" – y". Please,…

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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.