Find a Power Series Representation for Show all of your work. 3-a2

Q: Find L{1}ℒ{1}.

A:

Q: 2k 8∞ Ek=072k) ! Lk%3D

A: Let us consider the function f(x)=ex The expansion of the exponential function is…

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: Find the sum of k+w+p

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Q: 5/14+1/6

A: 514+16=15+742

Q: 3 (4 3 (4 Σ 4 k=1 7 9.

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Q: 5 ΣΕ j=1

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Q: 9/12+3/24

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an),20 which starts, 1,…

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Q: E(-1)". x2n+1 n 2n + 1 n=0

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Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

Q: 10. Find the sum of the series 25 (a) 75 (b) 2 (c) (d) None of the above

A: We have to form a series which sum is 25/2

Q: According to the method of undetermined coefficients, what is the proper form of a particular…

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Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

A: We will use sum and condition for sum of infinite GP ( geometric progression ) a+ar…

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: iven the sequence (0, 0, 4, 4, 4, . ..) find the ordinary generating function and simplify if…

A: Given sequence is  0,0,4,4,4,....... The ordinary generating function can be derived as  ∑k=0∞ckxk…

Q: 2/5 +7/12

A: Please see the answer below.

Q: EXAMPLE 2 Fir 100 56. Σ(3k + 4) k=1

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Q: Find the sum of the series 12 22

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Q: Find the surface area of each pyramid to the nearest whole number. 5. 3. 12 m 10 m 8m 4m

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Q: 2. Find the sum OF 2

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Q: Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

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Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr