Consider the following differential equation y" + 4y/ + 5y = 0 Select the correct solution set to this differential equation Select one: O a. S = {a · e-2#. cos(2x) + b • e-2" - sin(2x)|a, b E R} b. S = {a · e²" . cos(-4x)+b· e²= . sin(-4x)|a, b € R} O c.S = {a · e²* +b· e2"|a, b E R} O d.0 O e. S = {a · e · cos (-4x) + b · e*a . sin(-4x)|a, b E R} O f. S = {a · e¯4# . cos(2x) + b ·e¯1» . sin(2x)|a, b e R} -4r O g.S = {a · e* · cos(2x) + b · e** . sin(2x)|a, b E R} O h. i

Q: 3. √11

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Q: Find (+72+6) dz + C

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Q: -11sin (z)dz -

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A: Given,          x2-2y3

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A:

Q: 6-7:

A: 6-7=-1

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Q: 196. 2(n+1)

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Q: 2.) 8(b+ 1) + 4 = 3(2b – 8) – 16

A: We can find the value of b in the following step

Q: to 2A+7 n-1

A:

Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: (4 – a2)

A: To integrate.

Q: 1x x*-5 =xp C O None of the other choices

A:

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

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Q: 3. Find L-¹{√534}. (s+3)

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Q: 1 4 5 3 Subtract: 1 8 1 2 6 2 3 5 7 7 | | Preview 2.

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Q: Simplify. [(21)4]² 1615 Enter your answer in the box.

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Q: 28 Σ

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A: We have to find Laplace inverse by convolution theorem.

Q: |番,曲 1 dx (r-2)² 5. 2.

A: Given :

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A: Given          f(x)=2x3+10x2+12xx3+2x2

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A: Here we will find the value of 'y',

Q: What is the least common multiple of 12 and 2? lcm (12,2)=(

A: Algebra

Q: 3x Зх- 11 A E x +9

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Q: х ах 2(5+x²)4

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Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

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Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.

Q: b) Let E(K„) denote the number of edges in Kr. Write a recurrence relation for E(Kn) along with…

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Q: 3 2 25 +5² +85 +6 (S²+4) (S²+1)

A: Given that L-12s3+s2+8s+6s2+4s2+1

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.