(s2+8s+19). S • Ans: L-2+85+19+16–16)) → complete the solution ... Ans: L-1, s+4 1+V3 (s+4)²+3. - (s+4)²+ (V3)²S¯ V3 l(s+4)²+ (V3)²J • = e-4' cos (V3t) - e-4t sin(v3t) е

Q: Q1\ Answer only two of the following questions: A\ Evaluate f sinx esecx cos²x dx. [15] [8 4 3 1 B\…

A: We have to solve the given problems.

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A:

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: L {(t + 3) sin 2t } = Select one: s2 – 4 (s² + 4)² s2 + 4 s? – 9 + (s² + 9)² s2 + 9 6s (s² + 9)² +…

A: Lsinat = as2+a2. If Lft = F(s) then Ltn f(t) = -1ndndsnFs.

Q: Evaluate L{te- cos 4t} g + 2s + 15 b) (s2 + 2s + 17)2 5' + 28 - 15 b) (s + 2s + 17) s - 2s - 15 c)…

A: Note : According to the company guidelines we can solve only first question please post other…

Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

A:

Q: - j6) (60-j80) 2 329) EX(16

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Q: S √ + (25 +4z²)(z³ + 1)¹² dz

A:

Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: , put only one solution in the secon -9|c+8|=-99 Dont

A: Given query is to find the solution of the expression.

Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

Q: 2 48 --- 5 25 49. Complete the square and rewrite the equation as the square of a binomial. 48 49 A)…

A:

Q: Solve the differential equatons (7x-ty +16) dy + (2x-5y+12) dx=o when x-3, y= 2

A:

Q: To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m +…

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Q: The integral 2a12 + 5x° is equal to -dx 3 x5 + x3 +1 (a) -25 + C (2) +2² + 1)* (b) z10 +C (1 + کے +…

A:

Q: X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a)…

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Q: Solve for the particular solution using method of undetermined coefficient: (D² + 2D + 4) = 8 O Yp =…

A:

Q: 1 1-¹ ( ( 5 + + 2) ³) 3 = Find ac + b. α ~tbeat C

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Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

Q: (2x + 1)(x – 1) dr 9. 3x + 6 d.x 2.x3 10. | (20 – 1)(x² + 5)dx 17. - (3x – 2)2 - 18. 4x

A:

Q: L(e²'cos3t) = Select one: a. NOT b. 3 (s – 2)? + 9 C. 3 (s + 2)² + 9 O d. S-2 (s – 2)² + 9 е. s+2 (s…

A: Use the formula below to yield the result.

Q: 9. (a) 2 Find the maximum value of 3 cos²x-8 (b) -3 (c) -5 (d) -8

A:

Q: 1. (r - x) + (-2r + 3x) 2. (-y + 3) - (v - 2) 3. (-3a* + 4 + 2a') -(2 + Sa - a) 4. -(6 - b + 4b')…

A:

Q: (b) Show that general solution of the second-order difference equation: ya+2 - Gys+1 + 8ya = 2+ 3.k…

A:

Q: dz (9-z2) 2 Select one:

A: We have to find the integral.

Q: Solve y = x - 2ycot 2x A B C D (4x-1) sin2x + 2ycos2x = C (4y - 1) sin2x + 2xcos2x = C 2xsin 2x +…

A:

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Solve: y''+ 2y' – 8y = – 32t + 56 y(0) = – 9, y'(0) = 28 y(t) =

A:

Q: What is the special solution y0 of the y'''+5y''+12y'+8y=5sin2x+10x2-3x+7 You can find given…

A: We have to find the solution for the differential equation…

Q: Q1 // Choose the correct answer for the following :- 1- L(e"sinh*t) = a);G-→ »G *9G- 2-L(12cos2t) =…

A:

Q: Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y =…

A:

Q: OFind the inlagral of : S(725(フスーヴxりー23x +4ズ)(1-4で

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

Q: 2x³y' = y(2x² - y²)

A: We have to solve the given ordinary differential equation.

Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation

Q: +√Y'+Y=X²² 15 10) SOLUTION TO THE GIVEN DE (4D²-8D²7D²+ 11 D+6) y = 13 11) solve the ff DE (D²+215³…

A: According to our guidelines we can answer only one question and rest can be reposted.

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.