1+ K(s+4) %3D s(s+2)(s+5) K = - 3+75²+10s %3D s+4

Q: n 2n + 2 /2 n 2n k k=1 \k –1, п+1 n -

A: The objective is to prove that ∑k=1nnknk-1=2n+2n+1/2-2nn This theorem can be proved by induction,…

Q: s+2s ds s2+1

A: I have stated the used formulas in the solution.

Q: 29. 30. - 16 s + 10 1 31. s2 - s - 2 32. (s + a)(s + b)

A:

Q: – 0.5x2 – 3x – 4 what is the and behavior of the grap

A:

Q: n2 -5n +4 an 3n2 +5 n-1 Vn=6n- 3 4 %D Wn = 4 %D -/3 II

A:

Q: 2(3 – k?) а. k=1 6 b. E – 5) (k² - 5) k=1 5 Σ > k(3k + 5) С. k=1

A: I am attaching image so that you understand each and every step.

Q: K+1 – /K k=1 VK² - +K

A:

Q: X1[n]= {-1, 2,0,1} X2[n]={3,1,0, -1} Find convolution using: • Graphical method

A: given X1n=-1,2,0,1X2n=3,1,0,-1 to find the convolution 1) using graphical method yn=x1n*x2n where…

Q: 10s s² +16 1.) 4.) 1 1 2.) [s°] 5.) s3 +5s 4 1 48 5 3.) 6.) s² +4s+6 2

A:

Q: k+4 n(3n +7) k(k +1)(k + 2) 2(n+1)(n+2) k=1

A: Given ∑k=1nk+4k(k+1)(k+2) To show  ∑k=1nk+4k(k+1)(k+2)=n(3n+7)2(n+1)(n+2)

Q: S-2 ds (s-1)(s-5)(s+3)

A:

Q: 2s² 2s - bs +5 (s-1)(s-2) (s- 25.4 (s+)(s-2)(s-3)

A:

Q: 1 k + 2 k=4

A:

Q: A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't…

A: Given company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company…

Q: 1 3s – 14 s2 – 4s + 8 (s + 1)(s² + 1)

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 2 2n² 1-n²¹ 1+n³ 1+n³ 202-1-n 3 1+n³ Simplify Show your work. 2

A: Simplifying the given expression

Q: E(-1)n + 1(n + 8)x" n = 0

A:

Q: 2*-2 2. E 23- (n² +4) 6n² 3. 2 n=0 N° - 5n +3

A:

Q: Activity 4 s+2 1.1 s(s-3) 2.1. s(s-2)3

A:

Q: Simultaneouly Sol ko o-408スFA to-9082-04472千c = © C) -0.40%ス TA+o.4082T6-a (2) - 0-8 _64fA -…

A: Given that, 0.4082FA+0.4082FB-0.4472FC=0      ...(1)-0.4082FA+0.4082FB=0…

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

A:

Q: 4. f(n)= (3n- 2)² 5. f(n) = 220-1 %3D

A:

Q: 1 4. Σ k-0 (k + 1)(k + 3)'

A:

Q: 5) h(n) =-2n² + 4; Find h(4)

A:

Q: 3 5 k3 5 d. k 225 k=1 k=1 EG+ 2n) е. k=1

A:

Q: L{2et – 4e4 } O 2(s-6) 52-6s+8 O2 (6-s) 52-6s+8 s-6 82 6s+8 (s 6) 2 6s+8

A:

Q: 3s3+s2+12s+2, (i) L-1 (s-3)(s+1)3 7s+13 (ii) L-1{- s(s2+4s+13)

A:

Q: 7 С. s4 2s-9 d. s2+2 6. 8. s3 s2 S 1 е. (s2 +1)(s2+4s+8)

A:

Q: se-35+2 (2s+5)e-2s i. s2 +5s+6 ii. s2 +2s+2

A:

Q: 1 Σ (k + 2)(k + 3) k =1

A:

Q: 2n: >(-1)* (") 3n-k %3D .k k=0

A: We have to solve given problem:

Q: 5. Find (). 24e-5s L-1 S s2 – 9 s2 + 8s + 17

A:

Q: 28-3 s+s-2 3. 2¹{F(s)} for F(s)=-

A: 3.

Q: 7 > k(2k + 1) с. k=1 7 2 7 k3 d. 4 k=1 k е. k=1

A:

Q: 4 E (k +1)! 4. k=2 (n+2)! 5. (п-1)!

A:

Q: Find L-1 [3s+6 82+3s. Find L-1 (s+1)3 2s-3 Find L 3s+2

A:

Q: n Σ k + 2n + n2 | n k=1

A: use the sum of first natural number  to evaluate the sum

Q: find values of x - y - z by gauss Elimination 2 X + y- 3z=-10 -2 y+ z = -2 Z = 6 2,4,6 O 2, 7,6 O 3,…

A:

Q: (a) L-1 .(s+2)²(s-2). 1 (b) L- (s+1)(s²+1).

A: Given The given inverse Laplace transforms are a L-1ss+22s-2 b L-11s+1s2+1 Apply formula…

Q: 3 1 b- k +1 k=0

A: To find the sum of the given summation

Q: 4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D

A:

Q: (s-4) Find L-1 (s²-8s-9).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (2s+5)e-2s i. s²+5s+6 se-35+2 ii. s² +2s+2

A:

Q: ди k = N k > 0

A:

Q: S (2n)!n² (2n + 2)!

A: We have to find  limn→∞(2n)! n2(2n+2)!

Q: determine L−1[F].

A: Consider the following function: Fs=s+2s+22+9=s+2s+22+32 Consider the following formulae:…

Q: n2 > 2n for n 2 5 : Solution: Part 1: Part 2:

A: Solution )n2 &gt; 2n for n ≥ 5 For n= 5 52 &gt; 25 25 &gt; 32  For n= 6 62 = 26 36 &gt; 64 Which is…

Q: 2. Remember or air filter example from class. People valued clean air at Sn, where n is the number…

A: There are 100 people in total. A filter costs $25. It is mentioned that people value the filters at…

Q: Simplify:

A: kk+12k+16+k+12

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.