5. Be careful about indices! For each of the following sequences (each of the bullet points), find: (а) ао, а1, а2, аз ( b) Σαι k=0 3 (c) II « ak k=1 3 for all n e {0, 1, 2, 3}. • an = n! .

Q: 13. To evaluate f 3cos*x-1 dx. the integrand can be transformed to 1-sin2x a. [(3cos x+ csc²x)dx b.…

A:

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

A:

Q: 37.) Show all step to evaluate: SN NS /3-y² /3-y² dzdxdy

A: We have to find the value

Q: (c) P(\X| > 3) (d) P(|X – 5| > 3)

A: We have given that.   X~N( μ , ?^2 )   μ=5 , ? =1   Z-score =( x - μ )/?

Q: 6* If T(h,k)(4, 2) = (7,-5), what point is (h, k)?

A:

Q: Evaluate L{r'e}. (a-b)! A. aーb+1 (a+b)! В. a+b+1 b! C. (s -n+a) b+1 a! D. (s-b+r)** (ab)! E. ab+1

A:

Q: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die…

A: Given information: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will…

Q: Ба. А (812031350); B = (15 2 7 4 2 4 4 1 ); C = (4 – 22); D = (0 – 14) Hitunglah: a. A' + B' = b.…

A: Given that A=8 1 2 0 3 1 3 5 0, B=1 5 2 7 4 2 4 4 1, C=4 -22, D=0 -14 (a) A'+B' In the matrix A and…

Q: Given X N(20,16), find b. P (X <19) (4 decimal place)

A: X~N( μ , ?2 )   μ=20 , ?=4   Z-score =( x - μ )/?

Q: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die…

A: Given information: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will…

Q: The differential equation 3x²yy' – 3x5 = y²can be changed to linear by the %3D substitution (a) v =…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option : a

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

A:

Q: Q4/ A- If p (A) =0.4, p(B) 0.2 and p (An B) 0.1 determine the following properties P(A'), P (A U B),…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If k = (11.03.-9.12,3.15,-1.01) in R4 then k| = %3D %3D

A: Given  k = 11.03, -9.12, 3.15, -1.01t in R4. We have to find the value of k1.

Q: e start at (0,0) and want to reach (6, 8). How many ways can we do this, assuming that we can only…

A: To determine the number of ways we can reach the point (6,8) if we start from (0,0).

Q: 6. X ~ Bin(50, 0.2). Find approximations for: a. Prob(X 12)  c. Prob(X=12)

A:

Q: How long will it take for ₱65,000 to Amount to ₱98,400 if compounded quarterly at 10.24% interest?

A: Compound interest formula A=P1+rnnt where A is accumulated amount P is principal amount r is rate of…

Q: Evaluate L{e" (sinh3t + cosh5t)} . 3 s+5 А. +- (s+5) +9 (s+5)* + 25 S -5 | В. (s -5) -9 (s-5) +25 3…

A:

Q: In A, values of k for which det(A)=D0 are * k-4 0 0. A = k 3'k-1 O k=4, k=-3 , k=-2 O k=-4, k=-3,…

A: The given matrix is - A = k-4000k203k-1 We have to find the value of k for which the det(A) is equal…

Q: Find (e-*) dzdy A. 4ye-(*²+y²) B. 4xe-(2²+y²) C. 4xye-(x²+y²) D. -4xye-(a²+y²) OC OA OB None of the…

A: Partially differentiate the function y= e-(x2+y2)  w.r.t. x and y .

Q: ITA = ( ) B = (, 7) mnd C = (-2 ) ind 2A - ЗВ + 4С

A:

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: Let X N(10, 23). Then P( X< 10) = %3D

A:

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

A:

Q: Q1. Solve the Following. i) (367)9 + (715)9 = ( ?)9 ii) (715)8 - (367)8 = ( ?)8 iii) (296)12 +…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: then the ² u - y² is მყ2

A:

Q: Q9) In University of California among the placement cell, P(students getting placed )=2n/9,…

A: P(students getting placed)=P(students not getting placed)=

Q: Zu+1 If Zu-1 'p = 3:5, find n.

A:

Q: 1Uedxix EN, n<15},A = Sreix is even'} Bz{M:n is the multipk of 37 , then a AOB Chow the reladion of…

A: Given: Universal set U=x:x∈ℕ, x&lt;15 and subset A=x:x is even, B=x: x is a multiple of 3.

Q: 03)Find: T(n+1)% = 1) 2) 3) T(e)= %3D

A: 1. From the definition of gamma function we know that τ(n+1) = n!

Q: In the second order linear ODE with constant coefficients ау +by'+с%3D0 the coefficient a should be…

A: Now we will solve the problem.

Q: Q5// If P(A)=P(B) = P(B/A)=, find: 1. P (ANB) 2. P(AUB) 3. P (AUB) 4.P (A/B)

A: Solution

Q: Please help me with these question. I am having trouble understanding what to do. Please show all…

A: The objective of the first question is to find the largest set of values n for which 2^n &lt; n! and…

Q: Which of the following sequences of symbols are well-formed formulas (wffs)? Put an ‘x’ or a ‘√’…

A: To Find: Whether the given sequence of symbols are well formed formulas or not.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.