Show that if u(x) = el p(2)d then u(z) [1/4 + p(x)y] = — [U(x) y)

Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: A. If z=x + f(u) and u=xy. Show that: x+y- ax =X

A: Question are not correct... I will send this type problem

Q: Find the value of c such that S xe = 3.

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Q: Prove that (C, +) ≈ (R × R, +).

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Q: A fair coin is tossed two times independently. Let H₁ = {1₁ (1, if head is obtained at the ith toss…

A: When head is obtained at 1st toss then H1= 1  When head is not obtained at 1st toss then  H1= 0 When…

Q: f:N → N,Vx E N, f(X) = 5x² +3 g:N → N,Vx EN, g(x) = 3x – 2 (gof)(x) find (1

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Q: = + (-x² + xy 7) =

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Q: Show that Q.) J′′0 (x)=−J0(x)−x−1J′0(x).

A: Here we have to show that, J0''x=-J0x-x-1J0'x

Q: Show that (a) x(t) * 8(t) = x(t)

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Q: J1(z) rove that J(x) = -J(z) and J{(r) = Jo(z)- %3D

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Q: Compute 1 2 √x +2 -dx.

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Q: ||Ř(t)|| = h(t), show that R(t) · R (t) = [h(t)][h'(t)].

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Q: Let fx (x) = x +b, x ∈ [−2b, 2b]. For which b is fX (x) a pdf?

A: Given,  fx (x) = x +b, x ∈ [−2b, 2b] To find the value of b for which fX (x) is a pdf.

Q: 1. Let x=(x) = (². Find xif 8. Exercise (2) ܘܚܢܟ b. x n

A: Given Data: Let us consider the given data, x=xn ∈l2. To Find: a. xn=212n b. xn=1n

Q: 1. Let f(x)=x² - x, xeR then f(f(f(v2))) is: -34 + V2. b. 2/2 +34. c. 34+2/2. d. 34– 2/2. e. 2/2 -…

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Q: Let f(x,y) = x - 4xy - y. Compute f(4,0) and f(4, – 4). f(4,0) = (Simplify your answer.)

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Q: Let f(x) = 5 – Vx² + 1 and g(x) = x -7. Then (f o g)( – 1) = %3D (fo g)(x) = || %3D

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: b) (i) Show that dz is a constant independent of z, and R. { Hint : z= Z, + Re"} 1 +- 2z-4 2 -z 3…

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Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: 29 x) = [42] (4), x(t) x(o)= [?]

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Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

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Q: 4. Examine if functions f(x)= x , f2 (x) = x², f;(x)=x² – 2x are linearly independent.

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Q: [x +1 0 2 1 2 (3)if A = 3 1 and B = 3 y -5 4 -1 -5 4 z - 4. Find x,у аnd z.

A: If two matrix A and B are equal then Each matrix of A and B has the same number of rows. Each matrix…

Q: 12. Let f(z) =,h z 0. Then f(2 + h) – S(2) h A) – 4+ 2h 1 B)- 4+ 2h C)-- 4- 2h 4-2h

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Q: 2. State the value of x for each, given g(x) = -3x + 4 and f(x) = /x – 5 a)g(x) = 10 b)g(x) = -2…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: If fx(x)= 1/(1+x²), and fy(y)= 1/(1+y"), X & Y are independent. Find fzw(z,w), if Z-6,5 XY and…

A: Given: fxx=11+x2 fy(y)=11+y2 Determine ∂(z,w)∂(x,y)…

Q: Q₂. if z=f(x+ct) + g(x-(t) then show that C²Z = Ztt XX

A: Given function: z=fx+ct+gx-ct We have to prove that, c2zxx=ztt. We know that, daxndx=anxn-1

Q: 1. Let f(x,y)=x²y + √y Find each value a.f(2,1).b.f(3,0).c.f(1,4)

A: We have to find the value of the function for the given points, f(x,y) = x2y + y points : f(2,1)…

Q: If f(x, y) = x²ye*xy, find fx and fyx.

A: Given function is

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: Is. tHo tollaoing conyesger (-) os diveage ......

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A: