Find L[cosh 7t] s2-49 7 s2+49 s2+49 7 2 O O O C

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

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Q: Evaluate f1 dy Vy-1 O a. 2ỹ+ 2ln(ỹ – 1) +C O b. 2j – 2ln(/ – 1) + C O c. None\ of\ the\ following O…

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Q: (n² – 3n – 21) ÷ (n –7) -

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Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: (hint: sx = 3.1623, sy = 1.5811) Y 1 4 9 3 3 85 .68 -.68 -.85 2. 2.

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: Find A V Al2) v Al3] , given [1 0 01 A = |1 0 1 lo 1 ol

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Q: B increases as µ deviates from µo when Ho is false True O False

A: The provided statement is "False".

Q: L{cosh 3t} = %3D s2+32 Select one: O True O False

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Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

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Q: Q3\ Provk that I p'ct) =- Pco) +SF(s).

A: We have to prove  L f'(t) = -f(0) + s F(s)

Q: B. Suppose that y1, Y2, ., YnidN (0, o2). We wish to find the most powerful test for Ho:02 = o3…

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Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

A: Note:- As per the company guidelines we can solve first question. I hope that the given solution…

Q: fΣ (α + bk)- 6n and n+1 k-1 (ak- br) = 1 = then ar - n+2 k-1 k-1 O None 3 5. O 2

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Q: If x = 3sint and y =3cost then dt O 9 None of these O -9 O 3 O -3

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Q: S V64 x da 3 x 2 +c 16 None 3 16 x 2 +c 3 16 x 3 +c 3 2/3

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Q: Q3: Prove that (9":n e Z) (3":ne Z) but (9":n E Z) (3":n E Z).

A: We have to prove that 9n:n∈ℤ⊆3n:n∈ℤ but 9n:n∈ℤ≠3n:n∈ℤ

Q: L{cosh 3t} = s2+32 Select one: O True O False

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Q: n1 = 50, n2 = 50 X1 = 8, X2 = 7 O A. 0.7794 O B. 0.6103 O C. 0.2206 O D. 0.3897

A: n1 = 50 =n2  p1= 8/50 =0.16p2 = 7/50 =0.14   The test statistic is given by

Q: Example 2: Forx= 15, n = 35 test the claim that p> 0.3 HO: p = 0.3, H1: p> 0.3, Put all the work in…

A: Given Hypothesis: H0:p=0.3H1:p>0.3 Given that x=15 and n=35 Consider, the sample proportion is,…

Q: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: Q3: Prove that (9":n e Z} S {3":n Ee Z} but {9":n e Z} (3":n E Z}.

A: To prove:  {9n:n∈ℤ} ⊆{3n:n∈ℤ} but {9n:n∈ℤ} ≠{3n:n∈ℤ}

Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: 18. Find Itm,..(xe -x) O 2 O O O

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Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: Evaluate (x + 5)(x − 1)(x − 2) (x - 1)(³) — 2(x − 1)(²) O A (x − 1)(³) + 2(x − 1)(²) (x − 1)(²) —…

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Q: Ex : Express the Sum o+ 2 +4+6+8 in Sigma nata tion. K = -2 %3D -2

A: First we find nth term of AP then replace k by k+3

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: 4. You are given: 7800-70t- 1? P30 0SIS TO 7800 Find qso-Hs0-

A: The given formula for tp30 represents the probability of an individual aged 30 years to survive the…

Q: 2. Given ON=4x NE = 3x +8 OE = 36 36 %3D 0 4x N 3x+8 E ON + NE = OE

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Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: How Find 7.J {()= 2(-1)* u(k-1) に、 Ans: 2Z

A: This question is related to Z-transform , We will solve it using given information.

Q: Evaluate Lsinh 3t 3 d) 1 s2-9 b) s2 +9 c) s2 -9 s2-9 O a

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)

A: Introduction: A random variable is a variable with an unknown value or a function that gives values…

Q: 3n n² + 7 ) n=1 ather means

A: Given   Root test

Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: of the indicated d 2. 17 in Z 4. 2x-3 in Z[x] 6. 2x -3 in Q[x] -8 2 10 in ZIr]

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Q: 2 Evaluate x³dx O A) 2 O B) I DONT KNOW C) NONE OF THESE OD) 8

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Q: Find the deravative $= In *1 2x3 Where x> o

A: f(x)=lnx2+12x3 We need to find the derivative of the given function.

Q: Can you please solve this question and show the steps

A: a. Finding the probability of getting 7:It is given that die is rolled one time.When a six sided die…

Q: 2Fn>Fn+1 for n>3 true or false?

A: Given,       2Fn>Fn+1 for n>3

Q: n(n – 1) is O(n²). 2 Show that

A: f(n) is O(g(n)) if there exist positive constants c and k such that f(n)≤c g(n) whenever n>k.…

Q: 너 ()- 3s %3D O 3te-24 O 3e-24 (1 + 2t) O 3e-24 (1 – 21) O 3e (1 + 21) O n (금) O 6te2 O 31e2

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Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: (b) Verify that 17(s +1) (s² – 2s – 3)(s2+2s +2) s+5 (s – 3) (s2 +2s +2)

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Q: left of z=0.45

A: Given that  z=0.45 We need to find area left of z=0.45 In normal distribution graph it as follows.…

Q: (d) Compute V(X) (in GB²) using the shortcut formula. (Enter your answer to four decimal places.)…

A: Given data is x 1 2 4 8 16 P(x) 0.05 0.15 0.25 0.45 0.10

Q: S dz is 31+1 a. In(3r+1) + O a. O b. 3ln(3x +1) +C O C. None O d. -3/n(3z + 1) + C In(3z1) + C O e.…

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Q: what are the first six terms of f(n)= (2n)/(n+2) ?

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