4n² +14n+1 = Let P(n):9+13+...+(4n+5) 2 Show P(k)→ P(k+1). Does this mean P(n) is true Vintegers n ≥ 1?

Q: Let P(x) = 2x² – 5x – 12 = (1 – 4)(2a +3). Which of the following is true? O A. For 1E[-2/7, 1),…

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Q: P(X₁ = x₁, ..., Xn = xn) = P(X₁ = x₁) [I²²2 P(X; = Xi| X₁ = X₁, ..., Xi−1 = Xi−1 )

A: Here we have a given equation that

Q: Section I 3. Suppose that X is a discrete random variable with pmf |4- r|+ 4 f(z) for =-6,-3,0,3,6,…

A: Solution

Q: 2 given x(t)-t+4 where -4 tS2, find x(-2t+4) a. x()=4t+4 where, 1sts1.5 b. x()= -4t+6 where, 1sts1.5…

A: We have to find value of x(-2t+4)

Q: P(n) assert n(n+ 1)(2n + 1) j=1 (a) Verify that P(3) is true (b) Express P(k). (c) Express P(k + 1).

A: Consider the provided question, (a) We have to verify that P(3) is true. Substitute n = 3 in…

Q: 5s L |(s – 2)

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Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: 2 p(x) = a₁ + ax + a²₂x² + ... + 10x⁹ = k = 1, 2, 3, ..., 9 •P(---) 10 1 k 00

A: It is a nine degree polynomial whose coefficient of x^9 is 10

Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

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Q: Let fn) = 2(n), g(n) = O(n) and h(n) = 0(n). Then [{n)· g(n)] + h(n) is (a) 2(n) (b) On) (c) 0(n)…

A: Given that,

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: (d) (n-r+1)! (n - r - 1)! *

A: According to the given information in this questionwe need to simplify the given form

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: (- 1)"x" Σ 6" (n² + 9) n=1 8.

A: Given

Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: What is the rule for this pattern? (figure 1 is 1 block) Of(x)=n+2 Of(x) = 2n Of(x)=n-1 Of(x) = 2n-1

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Q: α Let V₁ = {(₁)|a € R}. V₁ with standard V4 operations will fail both axiom "close under addition"…

A: Let A be a set and ∘ binary operation on A then 1. We say A is closed under the binary operation ∘…

Q: 8 {4} {{ {}₁ s² + a² s² +6² (1)

A: Given: L-1as2+a2·ss2+b2............(1)12∫sin2t+3u+sin7u-2tdu............(2) We have to find the…

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: 1 Σ (-3)²+" (n² + 1) -(4x – 12)" n n=0

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Q: 3- (a) Complete k (-1)k 2 k! (k +n+ 1)! 2k+n = -h(x) k=1

A: First I have written the Bessele's function as in an infinite series form then by making a…

Q: 4n2 +14n +1 c. Let P(n):9+13+...+(4n+5) = Show P(k) P(k+1). Is P(n) true Vintegersn21? 10 Fon the…

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Q: Find L-

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Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

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Q: Σ s2 an convergent or divergent?

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Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Select all of the following that are equivalent to >(2) +> (3k + 1)? k=0 k=0 п+1 A. O) (3k + 3) k=0…

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Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: (7) Let X = P(2) and E-x)= E(5– 5x), then 2 is. (a) 25/26 (b) 26/25 (c) 12/26 (d) 26 (e) None of…

A: Given X~Pλ and E15x=E5-5x

Q: „¸ 1) and ♂ = (1, 1, 2). Find || ☎ – proj♂¯||. d) 2√3 3 (e) None of these

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Q: 1 = (₁ + - +/- ) ² (b) Prove that n < 1+ for all n € N.

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Q: 2n (1 -x) (2n+1)! (2) こ

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Q: n (A)-0) k Simplify the equation shown here. with n≥k and n, ke Z+ (In the answer choices, nCk…

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Q: Supppose that X ~ N (2; 3). Find P (1 &lt; X &lt; 4).

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