dy The solution of the differential equation using Laplace transform - 10y = 12e5 is dt given that y(0) = 0 1 [e10t + e5] 10 sle [e10t +e 54] 5le (e104 +e] y = 15 15

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 5.

A:

Q: 24 12 XD

A:

Q: 2/5+4/8

A: We have to find the sum

Q: 5(18)

A: To find5(18)

Q: 2) 36³x=¹

A:

Q: 6.5+ 4

A: To simplify given

Q: 3 1/4 + 7 1/8

A:

Q: 7/2 + 3 4/6

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: 5 1 1 + 2r dr

A:

Q: 4 11  ✕  5 9

A: Consider the given expression as 411×59. 411×59=4×511×9=2099

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 7,20

A:

Q: 20 14 16

A:

Q: 9 b and c

A: b) We check if the denominator is 0 for any value of x.  2x2+5=0 2x2=-5 x2=-5/2 (not possible) So…

Q: ne binomial:

A:

Q: Expand (a −b)4

A:

Q: 56 10

A: The objective is to evaluate the value for

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 7

A:

Q: 7 10

A: Consider the provided equation, x7·x10=____ Fill in the blank.

Q: 4 10

A: Given: The figure,

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: 6 8 27

A: If a line parallel to a side of a triangle intersect the other sides in two distinct points, then…

Q: Show that both R and R2 may be covered by countably many open balls.

A:

Q: 3 power 3

A:

Q: 3 3/4 + 2 7/28

A:

Q: nvert

A:

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: 6 1/6 + 6

A:

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.