Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

Q: 10.13. Determine Bª for the sets A = {1,2, 3} and B = {x, y}.

A: See the attachment

Q: Why must nCr always be less than or equal to nPr for any given n and r

A: Permutations and combinations are given.

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

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Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: 2. Find NP. M 8

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Q: れ+5

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Q: Find the maximum value of a, x, +a,x, + .+ax to the condition that x +x, +. + x =1 for given…

A: We need to find the maximum value of a1x1+a2x2+a3x3+...+anxn to the condition that…

Q: Example 7.4.1. If a = (2, -1, 3) and b (1,2, 1), find a x b.

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Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: III. Determine whether the statement is true or false. (Example: if B+2 10, then 4 37 is FALSE…

A: Given that:                            1. -15&lt;152. 8+3=11 Or, 5 is an even number3. 1=2 and 15 is…

Q: 1. 1 7(x+-) 2 2 (x+1)B(x+x) 4x+1 Q.7 Show that : B(x+ 3. 3. x+

A: There is a correction in the right side of the question.So i have improved the question and solve…

Q: H.W 1.: Use Cayley-Hamilton to find 4 -1 A' and A Where A = [2 1 1 0 1 0 11 2 ]

A: Find characteristics polynomial and use caylay hamilton theorem

Q: I. True or False. 1. N is closed under subtraction. 2. Z is closed under division. 3. Vx2 = -x if x…

A: A detailed solution is given below.     (As per our guidelines, We are supposed to answer only 3…

Q: Find the rank- 1 approximation of

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Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

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Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A: Given: The matrix P=4611 and Q=22341-120 a) Find the size of the matrix QTP-1 b) Find the entry 2,1…

Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

A: Our aim is to solve the following :  1) 11!/(5!*4!*3!) 2) 10!/7! 3) P(8,5) As per our guidelines, we…

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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Q: 1. (a) 2 Let = (1, 0, -2) and = (-4, 2, 3). Find a real number x such that (ট' –æè) ⊥ à. (b)-1 (c) 3…

A: Let .To find a real number  such that .

Q: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: Hew.2 Exfress the Summ ef the Vecturs AB and if ACl,-1)_, B (2,022C(-l,3) and D(-2,2).

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Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

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Q: DIVISION BYt (:) - {}> 81. Show that In %3D

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