14. Give a geometric explanation of why 2π/n 1-2 0 r² do = лr² 2 for any positive real number r and any positive integer n. Would the equation also hold for non-integer values of n?

Q: Q.2. If 7, 1, and r, be the roots of 2x +5x-330, then find: (a) E (b) Er

A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

Q: For what values of k will the equation 2x2 – 3x + kx = - have no real roots? 1. k 5 2. 1 5 1. 1<k <…

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Q: 5(2-3i) – 4(4+6i)

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Q: (b) Show that i³i is real, even though i or 3i is not.

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Q: The number of nonnegative integer solutions to the equation ₁ + x₂ + x3 + x4 Oa. (3) Ob. (²) C. none…

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Q: x³ dr (1 + x²

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Q: Find all the zeroes of the equation. 27x – 324 = -x* O-3, -61 03, 6i 03, -3, 6i, –6i 03, -3, 6i, 0

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Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

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Q: The largest root of 9.50x2+38.43x+1.8=0 is

A: We have to find the largest root of 9.50x2 + 38.43x + 1.8 = 0 using Quadratic Formula.

Q: (2* – 3.2**)()n – 2.5*-*) 7. Obtain the simplest value of 3n – 2.3- 3"-4 n+3 -

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Q: Find a formula for ¹ - 1²/ (²1) + 1² ( 2 ) -—- ... ₁ (2). (G) + (-) + I u

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Q: (x²+1) 1/3 OD. D. (x+,x) oc. O C.1/3,3 OB. (x+x) OA. O A. 1/3, 10 x: X 0/3 1/3 Factor the given…

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Q: Brzycki's formula is used by weight lifters to determine the weight M that is equivalent in a single…

A: Given, Brzycki's formula is used by weightlifters to determine the weight M that is equivalent in a…

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

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Q: Please don't provide handwritten solution ..

A: The symbol Γ(n) represents the gamma function, which is an extension of the factorial function to…

Q: 15. Given the equation 3x-4x -12 =0, how many roots are there? Rational or irrational?

A: Given equation  3x2-4x-12 = 0 ....... (1) Quadratic formula for the solution of the quadratic…

Q: 0=1+xx + ₂X4₁

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Q: 3. If the expression was placed in the form ax where a and b are real numbers, then which of the 2x…

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Q: (2x-5) +(3+7h tlo):

A: we need to solve (2x-5)+(3x2+7x+10), This is a simple problem based on addition of polynomials.…

Q: Solve the following for x 1. ii. 1 16 23x-1 = 4*2*12 = 0

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Q: Find all integer solutions to 25s+ 14t = 1. O

A: Given equation25s + 14t = 1We have to find all integer solutions for s and t.

Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: Let T: ²->² be a linear transformation that maps u = Use the fact that T is linear to find the image…

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Q: (2x3 3 X 15

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Q: 3. Solve for x. a. 3 b. 8-x x + 2 X x +4 1 x+1 = 1

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Q: Solve for x. 6. X +5 7 X+1 OA. 10

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Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: Find a formula for ¹ - 1²/ ( 7 ) + 3² ( 2 ) - ··· + + (−1)n. 2+1(1).

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Q: 3x +2y = 5 - 6x - 4y = 5 O B. (1.5, -1) O C. (-1.5, -1) O D. There are infinitely many solutions. O…

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Q: How many positive integer solutions are there of the equation x+y+z=5?

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: 2. Prove that võ ¢ Q. You may also use the following facts without proof. (1) Each rational number r…

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