Determine n if (i) 2n C3 : "C₂ = 12 : 1

Q: Prove the following fact: A" = 3"-1A. 1 1 1 1 1 1 1 1 1 A =

A: Given, A =111111111  We have to  prove An = 3n-1A

Q: what is measured by a confidence interval and describe the factors that affect the width of a…

A: How much ambiguity there is for any given statistic is a confidence interval. Confidence intervals…

Q: Find 3 values of r n =120 o(n) such that

A: Ok

Q: Find the value of c if -226 Σ1+0 2 C = No decimal entries allowed.

A: summation (1+c)^-n from 2 to infinity converges only if |1+c|<1(1+c)^-n is a GP series. Use the…

Q: L-1{1} = Select one: O a. d(t) O b. Zero O c.u(t) O d. 1 ||

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Q: A cable is made up of several parallel strands of wire. The strength of the cable can be estimated…

A: a) The strength of the cable using ductile method is, Thus, the strength of the cable using ductile…

Q: s(-1)n-1 In(4n + 5) 7 = 1

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Q: Find 7A. 7A = A = 4 7 0 -3 00

A: To find the value of matrix after the multiplication of 7 on them.

Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: 133. -Σ 2" Sn+ -(x + 2)" n=0

A: Consider the series, Rewrite this as Now take the constant outside,

Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: Let G = (Zj0, X10) then o(G) is а. 5 O b. 4 С. 3 O d. 2 О е. 10

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Q: (1) n=2

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Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: ifn2x/4 = 16 then x is?

A: Step 1:To solve the equation 42x​=16 for x, you can follow these steps:42x​=16First, multiply both…

Q: Where does the handshake formula; Tn=n(n-1)/2 originates

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Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A: Introduction: It is required to find Pr (A).

Q: Solve for n if P(n,5)=120C(n,3)

A: The objective is to calculate the value of n, for which the following equation is…

Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: (-1)" .32n-1 Σ 00 25n-1 n=1

A: ∑n=1∞ -1n·32n+125n-1 use the series ratio test limn→ ∞ an+1an=L If L<1, then ∑an converges If…

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Find a general formula for dr ax + b dx" cx +d

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Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

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Q: Σ 2" + 3" 4" n=0

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Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: Q73. If P(A n B) = and P(A' n B') = ½³, P(A) = p and P(B) = 2p then value of p is :

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Q: 12. Determine whether the following is true: (a) ≥3, EZ, 31(2²" - 1); n (n + 1)(2n +1) (b) 12+22+ 32…

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Q: d Find {In(eª + e¯#)} dx

A: Given that: ddxlnex+e-x

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

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Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A:

Q: L-1 if (24/ ((5-7)²-9) 1 ;)} What's the value of a*c? = atbect senh(3t). =

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Q: 00 У п(х — 2)"

A: We have to find the sum of the given expression according to the given information

Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

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Q: 3 - 4 fX = the value of X" is - 1 %3D

A: We have to find the value of X^n

Q: 1 E(-1)". n(n+ 4) n=1

A: