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: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: 5) If w = 4i + 4j, find 2w. 6) If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. 7) If v = -4i + 4j,…

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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…

A:

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

A:

Q: Prove that if x, y € R, x > 0 and y > 0, then √√√x+y√√x + √y.

A:

Q: [t +3 If A = -1 6. t- 3 -6 one of the following must be true? 1 t+ 4] A) The rank is 3 ift#-4, B)…

A: Rank of the Matrix, and it's properties

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: Let u = (5,5,0) and v= = (5,5,5√√2). Compute |uxv|. Then sketch u, v, and uxv. |uxv= (Simplify your…

A: I have explained everything with in the solution. Please go through that.

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

A:

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A:

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

A:

Q: HW 4 Determine the LT of the following graphs. 1) f(t) 2) 1 ī e-zir 0-47 2 Agt 2 J 2 4 Symbolab is…

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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…

A:

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

A:

Q: Evaluate ſ /9 – 4æ²dx O a. 을sin-1z+ 를v9-4z2 + C O b. None of the following Oc 을cos-1 z+ 를 v9+422 + C…

A: Hence option (b) is correct.

Q: 18. Define I(a, b) = ª exp(-a²u²_b²u^²) du for a, b>0. Show that (a) 1(a, b) = a¹1(1, ab), (c) 1(a,…

A:

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: Find lul, Ivl, 12ul, · 121.14 lu+vl, lu- vl, and lul - lvl. u = (1, -3), v = (-4,-4) lul=√10 |v1 =…

A:

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: Given f(x, y, z) = 7x − 7y² + 6z², x = √u + v, y = (u + w) In(v), z = 2 – v + 7w. Find and ди, ду of…

A: Firstly differentiate f with respect to x ,y ,z  and then differentiate  x , y , z with respect to…

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: 3). B = (2 1 (5 1 and C = -3 :), find (a) Given that A = 7 3 -1. ЗА + 2B — С

A:

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

A: Find ∂2z∂x2+∂2z∂y2.

Q: Compute √ 4x2 + 118 dx. (4x²-4x+10)8

A: The given integral is; (4x-2) /(4x2