2. Show that a. Q(√5, √-5) = Q(√−1, √5) b. Q(√2, √6) = Q(√2, √3) c. Q(√5, √7) = Q(√5 + √7) d. Q(√a, √b) = Q(√a + √b), where a, b € Q such that √a + √b ‡0.

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: b) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i

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Q: (4) Evaluate 1 z² + 4z - 5 J -dz.

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Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

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Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

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Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: a---x (4-3*)hasjust one maimum and one minim um Show that | a- a value . Show also that the…

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Q: Define w := 1/2+√³,0 = -1/2 + √5, and 7 := " 1+5. Determine IQ[W,0,7](Q).

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Q: 7. f(2) = -3, g(2) = 2, f2) = 4, g(2) = -5 a) If h = 0, use the values above to find h) 9(x)

A: 7. f2=-3, g2=2, f'2=4, g'2=-5

Q: Calculate Vv and V x v. a) OV-v=-2x²yz and V × v = 0 b) OV v = 2yz + 3 and V x v = -2xi+ 2xyj +…

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Q: If g(x) = 8x? + 5x + 3, find the simplest formula for the difference quotient if a and h can be any…

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Q: f6) = 5-31 5+3x Q11. Let %3D

A: Given: To Find:

Q: 4. Solve for x : a) V5x +1 = æ + 1 b) a = V3x +7 – 3 c) V2x – 3 – Va – 2 = 1

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Q: Factory full, if possible. a) 40a b5-85a?b"

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Q: 3) Suppose that f mx² + ax + bdx = m, a, & b are constants and C is an arbitrary constant. For each…

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Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: P → (Q → R) is equivalent to A. (P ^ Q) → R B. (P v Q) → R  C. (P v Q) → ∼R D. None of these

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Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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Q: Find the form of yo to use in the method of undetermined coefficients v+5V tây e + xe a. Ae* + Bxe²x…

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Q: Show that Q(√5, √7) = {a+b√5 +c√7 + d√√35 | a, b, c, d € Q} = Q(√5 + √7).

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: Evaluate. 1) [(6x²+1) dx A) x + C B) 12x + C C) 2x3 + C D) 2x3 + x + C 1)

A: according to bartleby guide line we do only first part of multiple questions.please re-post other…

Q: ) = Zzz 2(러)(2-3) Find XCK) is X(2)

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Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: a2z + əx2 a²z If z = In(x? + y²), find ду?

A: Find ∂2z∂x2+∂2z∂y2.

Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

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Q: If fx) 3x 1 and g(x) 4x + 3, what does gfx)] equal? %3D A) 12r 1 C) 12r2+5x 3 B) 12x +8 D) 12x2 +…

A: Composite function: A composite function is a  function, where a function is substituted inside…

Q: a) None of these Ob) x6 + Oc) x6 + x² + 2x + C 4 x² + 2x d) 20x4 + 6x²

A: