>k = 1 + 2 + 3 + · · · + n = ... k= n (п + 1) (b) (а) п! 2 п (п + 1) (2n + 1) (d) (с) nk

Q: 4 k 2 -5 9 0 -4 -1 -9 -2 Let A = 0 0 k -4 6 0 0 0 2 6 0 0 0 0 4 choose When is det(A) > 0?

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Q: 1. Given that P + 4 - x (3 – x)(4 – x) A P = 3, q= 4 B P = 4, q = -3 G p = 3, q = -4 D p =-3, q= -4…

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: - (m'n') m²n_> 14. (2xy)²(-3x²)(4) 15. (2ryz?)°(x²z}*, 21 im2, n (m35 m2).(nein (2)(x3(35 (2 243…

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Q: 5. Find the on the interval [0, 4]

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Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: 3- Vn3 n=1

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Q: SpheresFind the center C and the radius a for the spheres in Exercises 51–60.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: P2: Calculate 2 ( aik Xi Xj Xx) where the Chijk are constants

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A: To Prove: 12+22+32+...+n2=nn+12n+16

Q: 53-N5 (0.4 – J0.3)5 + eAxM (1+ /5)" (22– 70°) (4-j179) e/15' + 515 3-N5 (7cls-) - 4+/V5 + [(6j135 –…

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Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: 11. If AJKL - AMKN, find the value of x. 12 N 20 x+1 Зх - 2 J

A: It is known that in a pair of similar triangles, the corresponding sides are proportional. It is…

Q: Find L{(3t"+1 – 2)²}. 9(2!)(n+1)! g2n+3 12(n+1)! sn+2 9(2n+2)! 2n+3 9(2n+1)! 4 g2n+2 9(2n+2)!…

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Q: n-1 For all n > 2, 4+ 3n4" – 4n+1 - j=1 9.

A:

Q: 6 k 6 9 -7 0 1 -9 4 Let A = 0 0 k -1 3 0 0 0 8 -3 0 0 0 0 2 Only when k 0? choose Always Only when…

A: We know that the determinant of an upper triangular matrix is the product of diagonal elements.

Q: (b) Define fo = 0, f₁ = 1 and fn = fn-1 + fn-2 for n ≥2. Show that 3 fak for all k ≥ 0.

A: As per the guidelines we shall solve one question only as you have asked more than one different…

Q: For this problem, assume the box contains 6 red balls, 7 blue balls, and 5 white balls, and that we…

A: Given that  box contains 6 red balls, 7 blue balls, and 5 white balls. Total number of balls is…

Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: 5. Describe the end behavior of P(x)=-6x-102x0 +3,297 a) as x→0, y00 and as x -o, y -o Opposite end…

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Q: An industrial psychologist two at the Chilco appliance factory. The first study indicates that the…

A: The study indicates that the average worker who arrives on the job at 8:00 A.M. will have assembled…

Q: BELL RINGER 1. V2k2 - 9 - x = 0 If k>0 and x=3 in the equation abové, what is k?

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Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

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Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8

Q: Find L {(2t" – 3)° } . | O 4(2n)! 2n+1 12(n!) + sn+1 4(2n)! g2n+1 [ 2(n!) 8n+1 O 4(n²)! 12n! 9.…

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Q: » (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

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Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: Q1 (a) Calculate the coefficient of a'y z in (r+y+2)13. (b) In her discrete math class, Karen was…

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Q: Suppose that the output Q (in units) of a certain company is Q = 75K1/3L2/3, where K is the capital…

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Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

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Q: How to proof: R2=(Cov(X,Y)/SxSy)2

A: R2 is defined as the co-efficient of determination, which determines whether the fit of our…

Q: 4 k 2 -5 9 0 -4 -1 -9 -2 Let A = 0 0 k -4 6 0 0 0 2 6. 0 0 0 0 4 choose When is det(A) > 0? >

A:

Q: 13. If a firm is discriminatory, the discriminate coefficient is worker and black worker. And the…

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Q: Q3: If you replaced the coefficients of x1, x2, and x3 by 50, 20, 10 What is your final JJI Jguz lio…

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Q: Find L (2 t" {(2-3)}. O 4(2n)! 12(n!) 2n+1 S sn+1 O 4(n²)! 12n! 9. -- sn2 +1 sn+1 O 4(2n)! 82n+1 9.…

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Q: how to solve the min z = 3x1+5x2 subject to  1) -3x1+4x2-2 4) x2>=2 5) 2x1 +3x2>=12 and x1 ,x2>=0

A: Given: The LP problem, Min z = 3x1+5x2 subject to -3x1+4x2≤12                        x1≤4…

Q: 2. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15…

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: Find L {(2 t" – 3) (t" + 2)} O 2(2n)! n! 82n+1 sn+1 2(2n)! n! - 82n+1 sn+1 O 4 n! 82n+1 n! n+1 O…

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Q: Q2-Prove tut- va" - r* ify =()()+ ()F-7 if y =

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Q: -bability den= 10 > 7) is:

A: The probability density function is given as, fx=110 for 0≤x≤10. To determine the value of the…

Q: A culture containing 16 bacteria doubles every day. Which of the following formulas represents the…

A: topic - exponential function

Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24

Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…

A: Function represents the relation between dependent variable and independent variable. Function…

Q: 1. Σ n! n=0 (-1)"x²n+1 2. ) 2n + 1 n=0 (-1)"x2n 3.) (2n)! n=0 x2n+1 4. (-1)"

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Q: 8. Working over R, suppose that M = PDP ' where P 1 Then, for any positive integer k, we have that…

A: To find Mk =?

Q: 6. Between z= -1.53 and z=0

A: