1 (A) E 11 · 12"+1 n=0 12"+1 n=0 (-1)" (B) ), (-1)*+1 . n Σ 6. 7n+1 n=0 7n+1 n=0 1 (C) E (n+1) 6n+1 = In n=0 8. 8.

Q: 22. P = 0.75 (9) P(X72) 12 P ( X =0) = (1²) 6 X • P(x=1) = S - P(X=7,2) Aft $19 = 0.25 (as) That 1 X…

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Q: If y (4x + 6)*, find y'(1). O 10ln(10) + 4 %3D O In(10) + 2/5 O 10ln(10) - 2/5 O In(10) - /5 O…

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Q: xy" - (4x + 1)y + (4x + 2)y = 0,

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Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

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Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

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Q: If (In x)2 c (a (In x)? + b in x +c) + constant, then 2 a + 28 b + 18 c = 32

A: Solving the above given integral

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Q: Let h(t) = (0 sin(t) Find L {h(t)}. S 0π/2 e-лs/2

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Q: 2 Which is equivalent to 4my? (A) (Hmyl3 (B) 4mäys (c) 43lmy) } (D) (4m) 3 Y

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Q: 3. Subtract Expressed as a single fraction, x- 1 is equivalent to x-2 А. x(x – 1) В. x(x – 1) x+2 3x…

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Q: 3n³ +5n²-n is 0(n³).. Must show valid detail work in Show that obtaining c's and no's.

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Q: 18. 8x So (42.8210) dx A) undefined B) In(6) – In(10) C) In(10) - In(6) D) ln(6) – In(10) + C E)…

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Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: How did you get "This is equal to (1/2) iff x = N - 1, x - 1 = N - 2, ....... , x - (n - 2) = N - (n…

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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: 1 3. JxIn(2x+1)dx 3 а. 8. 1 - In (3) 8. (e)u d. (In(3) - 1) с. - In 4 е. in

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Q: Which of the following is equal to | (x6 – 7x)*dx 1 A (x5 – 7)5 +C - 25 B (x6 – 7x)5 + C - 1 (a6 –…

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Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

Q: 30/33 Solve for x. 3. 10 21

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Q: Find the coefficients of complex exponential Fourier series for the function: 0 if x = [-pi, 0] sin…

A: As per the question we are given a piece-wise defined function f(x) and we have to find its…

Q: k-1 k-1 C1(k) = A + 1/½ 2* + 3½i²(/½)* i=0 i=0 A – 1/½(1 – 2*) – 6[(1/½k² + k + 3/½)(/2)* – 3/2] =…

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Q: d 1 ds [(s + b)n_ + b)n L(t²e¹⁰t) = (−1)n+1. Find n - b.

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Q: Select all the correct answers for the expression T(n) below. T(n) = () +2100 + 81logs n +n³ lg (7)…

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Q: ind / ( 2² +42 +5) de dx + C

A: To find ∫2x5+4x+5 dx.

Q: L{5cosh2t-3sinht} 1. 5s 3 a. s²-4 s²-1 3 5s b. s²+4 s²-1 3 5s C. s²-4 s²+1 5s 3 d. s²-4 s²-1 - +

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Q: Solve 8 2x +34 (mod 13) 3x +4y = 2 (mod 13) الطرف Using elimination.

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Q: 2 4 If A = and B then what is 2A + B" ? 5 -3 -2

A: We have to find the matrix

Q: How did you get "pi / 4" when n is equal to eight? I have written the formula in red.

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Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: (a) e2tsin (wt +t/6)

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Q: 4 Let A = -1 19 Then 6. -1 -30. det(A) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 4. S (x+3) z²+1 5 dx dar.

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Σ(0) - i=0 n Σ ;*² (1) = (n + n?)2n-2. n2n-1

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Q: 2/9 23. Evaluate dx. 11/9 11/9 81 x C) 119 A) +C 6- + C 11/9 9. B) 11 6- + C D) -9x+ C 18

A: This question is based on the substitution method.

Q: x*(8 + x')*dx x° (8 + x?)°dx Select your answer from one of - 28(8 + x')* + C O b. a. 28(8 + x')" +…

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Q: Identity 161 For n 2 0, Er2o (4) ()2"-2* = (").

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Q: x+4 7. S (x-1)(x+3) dx = a. In|x – 1| +-In|x + 3| + C 4 4 b. In|x – 1| -In|x + 3| + C 4

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Q: 12. (x' + 5x + 4)dx n= 6 0.

A: We have to find the given definite integral.

Q: L{(6t + 1)µ(t-1)} e 5(65 + 1) s² S a. b. C. d. 6e e 5² S + e¯5(75+6) 5² S e $(75-6) 5²

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Q: 2 2 L²₁ [² ( 6² 37³ -] = 6³² +² e t (8-373

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Q: expressed

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.