Suppose the JPDF of X, Y is f(x,y)={1K(x2+y2)0

Q: If f:X → Y is a bijective function,-3 then (f^(-1)•f)(x)=(fof^(-1) )(x), XEA

A:

Q: SUppose F(x) = dt. Find the formda 13 F (x ³) expressed using an integral. ? F (x* )= ]

A:

Q: Let x, y ∈ R. Suppose x^2 +y^2 = 0. Prove that x = 0 and y = 0.

A:

Q: z = f(st - 3, s2 +t) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = f2(-1,9) =…

A:

Q: Find and test all critical points of f(x,y): f (x₁y) = x²y + xy²-y₁ 7f= <2xy + y²₁, x² + 2xy-1), २५…

A: Find and test all critical points of :,    , .

Q: Letf :Z→Zbedefinedbyf(x)=x^2 +1,and letC ={1,2,3}. Find f (C), f ^−1(C), f ^−1(f (C)) and f (f…

A:

Q: The Doman off(x) = V4 – Vx is

A: Note: The correct option is not in the option.

Q: Find the interval(s) wheref (x) =vx+ 2x+6 jis continuous. A) [2, 6] B (-*, *) C) -6, 6] D) [0, -)

A:

Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

A:

Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

A:

Q: Let g(x) = ax* + bx' + cx + dx + 1 be a polynomium whose graph intersects the points (-2, 4), ( – 1,…

A: We will find out the required solution.

Q: Let a be a positive constant. Let f(x) = x (Vx +a). Which of the following numbers is\are critical…

A: given function :

Q: #! Find f'cx) if fex)= Čx²+SX+2)(X-)

A:

Q: az Find 2) Let z = f(x,y) = 4x2 - 19xy + 2y3. A) -19x - 6y C) 8x - 19y B) 8x + 19y2 D) - 19x + 6y2…

A:

Q: 3 Compute the primitive of w= (z³ - x² z)dx ^dy - x²dx ^ dz + (3y² z - 3xz²)dy ^ dz

A: The primitive of a differential form is also known as its antiderivative. In this case, we want to…

Q: If the Wronskian W of f and g is 3e^(4t), and f(t) = e^(2t), find g(t)

A: Wronskian W of f and g is given by:

Q: -3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

A: r(t)=(3t)i+(5lnt)j+(5e-3t)k   We are required to findFirst derivative Second derivativeThird…

Q: Show that y^3dx+3xy^2dy=0 is separable and exact

A:

Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

A:

Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: K=Zp(t) ,then f(x)=x^p-t is irreducible over K[x]

A: GIVEN: K = Zp(t)

Q: Please help me prove this: Suppose x, y ∈ R. Prove that if 3x^3 + 21y = 3y^3+ 21x, then x = y or…

A:

Q: find the orthogonal trjectories of x=c^y^2

A: We need to find orthogonal trajectories.

Q: Which of the following are true for A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 4), (3, 2),…

A: The given set .The given statement .The objective is to determine whether the statement is true or…

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: find the maximum and minmum values of f(x,y) = y^2 + 6x^2 on the set R={(x,y) 2x^2+y^2<=9}

A: Given function is: fx,y=y2+6x2 and the given set is R=x,y:2x2+y2≤9

Q: Show that f(x1, x2) = 2 - (x1 - 1)^2 - e^x2^2 is concave.

A: the given function is fx1,x2=2-x1-12-ex22 To find the function is concave we have to show all its…

Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = ,…

A:

Q: Use the general chain rule to find DH (1,-1) given G(U)=G(u, v) = and H(U)= F(G(U)). /u²+3v² +2 F(X)…

A:

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: The antiderivative of the function sin (Gx+7) is:

A: Given : sin12x+7

Q: what local linearizatoin of the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1)  (show all steps…

A:

Q: Find the GCD(f, g), where f=5x^4+6x^3+4x^2+5x+1, g=6x^3+3x^2+5x in Z7[x]

A: Find the , where ,  in .