• [[[²+1 B Evaluate (ry+yz+zz)dV B={(z, y, z) |0 ≤ ≤ 1,0 ≤ y ≤ 10,0 ≤ z≤ 1}. Do not round.

Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

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Q: 2. / Vy² – 4y + 10 dy

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Q: If Z = x.n. f .f (**²), then show that: X. Zx + y.Zy = y

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Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: - Evaluate the follwoing | r" exp(ax")dx where a + 0 and m+l = 1, 2, 3, ...

A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: If b is dviisible by a (a|b) and b in different than 0 then |a| is less or equal than |b|

A: The given statement means the following.

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: If X, Y, Z ER and x≤Z, show that XL Y S z if and only if |x-y| + | y-z| = |x-z). Interpret…

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Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: et x + y+ z=5 where x, y, z E R. Prove that x² + y² + z² >

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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: When is S \ T = T \ S for sets S, T?

A: Given that two sets S and T. The definition of S\T=a∈S,a∉T and T\S=b∈T,b∉S. Here, neither of these…

Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: Evaluate JIS ₂x+ydV where B is the box determined by ze B 0≤x≤ 1,0 ≤ y ≤ 3, and 0 ≤ z ≤ 5. The value…

A: Here we have to evaluate the volume integral over the given volume region.

Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

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Q: Let x = (m , 1 , 0 , -2)", m > 0 and ||x|l2 = v30, then m = Select one: а. 4 b. 5 с. 6 d. 7

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Q: Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, 0 ≤ z ≤ 4. (Use symbolic notation and…

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Q: Q. Show that v (r.m) R², r≥m ⇒ √1+² ≤1+2m| + x.

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Q: Evaluate f (xz+yz²) dV for the box B: 0 ≤ x ≤ 5, 2 ≤ y ≤ 4, 0≤z ≤ 2. (Use symbolic notation and…

A: .We have to evaluate the integration .

Q: Is AXYZ ALMN? Why? N X N Y L N M DISM

A: To identify whether the given triangles are similar or not.

Q: Let X-(1,0,- 1,-V2). Then, |X|l3 = %3D Select one: a. 2+2/2 O b. C. 2 O d. arch

A: Answer :

Q: Evaluate L/(x - 2y + z) dS. S: z = 6, x² + y2 < 1

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Q: 7.) Evaluate F dř. C F(x, y, z) = (3x, 4y, xz) r(t) = (6t+2, 8t - 3,7t), 0≤ t ≤ 1

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Q: 2 19. O Z ம் ம் ம்

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