What’s (E∩F)×(F∪G)

Q: Fxx is correct but Fxy is not 0.

A: The given function is f(x,y)=x4-5xy3+6y5 We have to find the fxx(x,y) and fxy(x,y)

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: V(A - B) = A x (V x B) + B x (V x A) + (A - V)B + (B V)A,

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Q: If o = (r x a) (r x b), show that Vo =bx (r x a) +a x (r x b)

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Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: f(x) = x2 + 2, g(x) = x2 - 2.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

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Q: S√4t² + 3 dt

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Q: O Determine rand s so that, 3.

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (−7, 0, 0, 0, 9), v = (2, −3, −2, 3, 3)

A: a). b).

Q: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) =

A: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) = Given g(6)  and f(8) values , find out the composition…

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Evaluate fS (ax³ + by³ + Va² – x²) dA for D = [-a, a] × [-6, b] D

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Q: A + B) E Mmxn - (B + C) = (A + B) + C +0= A

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Q: Va-> a x Evaluate (i) | . -dx Va +x

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Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

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Q: L{t(u0 – u1) + t²u1}.

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Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

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Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: (Vx + Vx – Vx –

A: