Lot a,b,c be positive intergers, Prove that (ac, bc) = (9,b)c.

Q: 14.Let A= 3+2i 0 2 1+i 1-i B-( + ?) and B= Find AB.

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Q: Prove that if AC-00, +oo], then sup(A) = - inf(-A), where -A = {-a: aЄ A}.

A: Step 1:It is provided that, A⊆[−∞,+∞] and −A={−x:x∈A}Let's assume that, A isa a non-empty bounded…

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: Is Q closed over multiplication? (Y/N)

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Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: 5. Find Wxxyyz, Wzyx, and მაw Əzəx²ǝy² if w(x, y, z) = x³y-5 + sin(xyz) + In(x + yz). C

A: Note: All partial derivatives are not small. I can solve only first two partial derivatives as no…

Q: 3. Write the cov(a + bx, c + dY) in terms of var(X), var(Y), and cov(Y,X) (Math proof)

A: Using the properties of covariance, the expression simplifies to:cov(a + bX, c + dY) = ac * cov(X,…

Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

Q: Determine сх. Ха either O or I and the number of rectors Xn) such that Xi is 1 Σ xidk

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Q: column 1 with CtS each AB match in equrcuent 1 6. 9 - ) 9-6 not egualent to c comy

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: As PQR in sicle Circl 2²4²25 Such that & & Rone (3,4) &(-4,3) fmd <Q PR?

A: Given that PQR is a triangle, which is inside the circle  such that P and Q are (-4,3) and (3,4)…