D If/2ty -P and 25=n(ytoc) n-T s in terms of n and P express only MS

Q: Find y(0) and y(inf) for the following  Y(s) = (s+1)/(s+2)

A: First, we need to find the inverse Laplace transformation.

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

A:

Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

A:

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

A:

Q: 14. Find k'(s) if k(s) Ins %3D s2 а. 2s2 b. s4 2 In s C. s3 s3 2 Ins 1 d. s3 s3

A:

Q: hybrid tomato / It's lanon seede of hybn ave proloability 0,70 of genninahing. te plant at is…

A: Note: Please repost remaining subparts as I can author only 3 sub-parts as per my policy Given data,…

Q: n all yER Fim a powes cypnesentation for sehjes growes Y?cos (2x) 4 thn by dfferemtiatinn suow unt…

A: We have to show that the sum of given series.

Q: 13. Find ML. J 3x + 11 K N 45 7, 10x - 12

A: According to guide and we should have been able to do only one question at a time #13

Q: Find y' to 3 |х — 1 O y = In x2 O x² In V3x + 5

A: Here we use logarithmic properties ln(mn) =n(ln(m)) ln(m/n)=ln(m)-ln(n)

Q: dx 4. J xV25-x2 a. In 5+Vx2-25 + C 5+Vx2-25 b. In + C 5+v25-x2 In + C с. d. None of the above

A: In this question we have to solve given integral.

Q: 4. If LM = 41 – 2x and NP = 7x + 5, find LM. L N M P

A: Given,

Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

A:

Q: (近-3) D34 ENone ofthese 4. Find . @ 10

A:

Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: (-1)^-1 00 16. n=1 vn+10

A:

Q: You are given that so(x)=e" – 0.001z² for x > 0 Calculate 5|15q65

A: Given that, s0x=e-0.001x2  for x≥0

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given that,  a certain virus has been contained in Wakanda. Researchers have found out that the…

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

A:

Q: For ſ k*e3* dx = 1 (ke)3x 3 (1–In 2-1) + C. If u = 3x, then k =?

A:

Q: If z 6.57 (rounded to 2 decimal places) and y = 6.017 (rounded to %3D (a) the upper bound of x + y…

A: x= 6.57(rounded to two decimal places)  and y=6.017(rounded to 3 decimal places)

Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

A:

Q: Evaluate the integral. S. 3n/4 -8 csc 2 x dx T/4 Select one: A. 16 В. 8 C. 0 D. -16

A:

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

A:

Q: the next iterative value of the of x² - 4 = O using secant method, if the initial guess is 3 and 4

A:

Q: Q: Examine y (o.4), Using Runge - Kutta Order 4 method if X = 4n + 2

A: Given y′=4x2+2y,      y(0)=1,   h=0.1,   we have to find y(0.4).Forth order R-K…

Q: Find g' (3) . g(x) : In(1+t) dt O In(10) O 6ln(10) O In(4) O 3

A:

Q: Px+5 N 49 If AJKL ANMP, find the value of x. x- 7. 9x +1

A:

Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: In this method we obtain inverse z-transform  by summing residues of [x(z)zn-1] at all poles. Here…

Q: Suppose that q +1 is a constant. Calculate the sum n Sn > kq* = q+ 2q² + 3q° + · · · + ng" k=1

A:

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: x2 1 dr dy = a° In(1+ x² + y? 3

A:

Q: 2と e こeo437 RK = k(-n.65)

A: To solve this problem, first we should bring all the terms with k to one side of the equation and…

Q: Find L[e-6t + 7] 7 O +? 1 s2+6 S 1 7. s+6 1 7 s-6 1 +7 s-6 +

A:

Q: Find the sum of E n(n + 1)x" = for < x </

A:

Q: 16 Find F(0) if F (t) = L-} O 4 O 2 O 16

A:

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: B. For the Pearson coefficient r, find sum((L - X) * (L2 - Y)/(24 * S * T) | and store this as R

A: Given, Age(X) BMI(Y) 25 30.5 42 34.3 26 23.1 42 34.7 58 39.2 32 30 24 37.6 21…

Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A:

Q: Suppose X- N(H, 36 ) and P( X > 6 ) = 0.13. Determine the value of u. (Give your answer to 4 decimal…

A:

Q: 2s+2 ds = In|s| – In\s + 2| + C %3D s3 +3s2+2s

A: Here, we are solving only 1st question and for the remaining question post the question again.…

Q: b) Find L[e* S (-os22) dt] and -1 4s+5 * ls-1) (s+2).

A: Laplace transferom and inverse Laplace transferom, using all the properties.

Q: The sum of Hthe first S=3n²+4a fFinal+he li mit an is nlmits ofar plogression an arthmctic

A:

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.…

A:

Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.