Find (a) P (Y=1/X=1) (b) P (X=1/Y=1)

Q: (c) y = 2

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Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: F(1) = 6 and F(n)=3x F(n-1)nz2.

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

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Q: [f(a)]² =

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Q: If f(x)=V x + Vx , find the value of f(1) (a) 3/2 (b) 8. (c) 4 (d) 1 (e)

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Q: LetP(B) = 0.6, P(K|B) = 0.2, P(K|B') = 0.35. FIND THE VALUE OF P(K)

A: P(B)=0.6P(K|B)=0.2P(K|B')=0.35

Q: (#10) S V4x2+9 dx x4

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Q: arg(z) = 1/4

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Q: P(A | B) = 0.1, P(B) = 0.7, P(A | B') = 0.4. Find P(B | A).

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Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

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Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

A: