10 X =1.2 is to be sol he initial approxima

Q: 3. Find L{2t²e* cosh t}. 2 ans: g" (s+2)'

A:

Q: Solve the following differenital equehims -1 2(-0 +g(t)), with (to) = e, ? dt

A:

Q: Solve the following ODE 3 y' + • y = 0 with initial condition y(1) = 2 -

A: Write y'=dy/dx and then use variable separation.

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A: In this question, we solve the initial value problem by using the Laplace transform and properties…

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A:

Q: Find the x -value of the point on the curve y=V/2x+2 that is closest to the point (8,0). x=6 O x= O…

A: To Determine: find the x-value of the point on the curve that is closed to the point (8,0) Given: we…

Q: 2) Find L{te"sin5t} using two methods. ans: (s+2)2+25

A:

Q: by first – shifting find L(e3t sinh2t) 3. .a O (s-2) 2-9 1 .b O (s-3) 2-9 .C (s-2) 2-4 .d O (s - 3)…

A: Answer

Q: For ey – In x=y2, find the value of k so that (y'-y"')=1 at y=0- e O 1 O e

A: Solve by double differentiation

Q: s evaluate e of 1. The

A:

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

A:

Q: A coil of inductance of 3H and a resistance of 200 is connected with an emf E =220sin3ot, where t is…

A: We will find out the required value.

Q: B. Which of the following functions are of exponential order? 1. cos 5t 2. 1000e2020 t 3. t3sin 2t…

A: To find the exponential functions from the given functions. The exponential function is of the form:…

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: If E(X") = (r + 1)! 2", then, the moment generating function Mx(t ) = E(eXt) is (1-2t)2 False True O

A: If we Calculate first moment by using both the expression. It should be same otherwise it is false.

Q: 3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally…

A: We can assume that Y~ Uni(a, b) where a=30 and b=40   We know that f(y)=1b-a        for a<x<b

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

A:

Q: Evaluate the followings: (1) S" e-2x x² dx (2) S cos® 0 de

A: Since the question has multiple questions. But according to guidelines we will solve the first…

Q: Solve the following. Additionally, comment on the behavior of the solu- tion(s) as t → 00.

A:

Q: / (3cosh m 2 cosh m sinh mdm +e°

A:

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

A: According to question given that ∫1-10x-1 dx=k ln1-10x+C

Q: 4. L{t² sin 10t} 60s? – 1000 60s? – 2000 b.- (s² + 100)3 60s2 + 2000 а. c. d. none of the abov (s? +…

A:

Q: Solve the following evaation for a 2メ+S X +1 e 3De

A: We have to find the value of X.

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: Assume the model: Y = 5 - 2X + e , where e ~ N(0,81) What is the Pr(Y>10) when X =2? And What is…

A:

Q: Consider the following. YA (停) -1 Find t and the terminal point determined by t for each point in…

A:

Q: Solve the following Bernoulli's D.E.: dy +y%3D dr+y =x²y² dx

A:

Q: =(x1= Find. === 2 × K value X Co oxx cl 1 ≤ x k of

A:

Q: Solve the following Bernoulli DE's. ds 3(1 + t) = 2ts(s³ – 1) dt

A: The solution of above differential equation is written below.

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: Runge-Kutta 4th

A: y' = y-x   , y(0) =2here h = 0.1f(x , y ) = y-xx0=0y0= 2y(0.1) = y(0) +16(k1+2k2+2k3+k4)k1 = (0.1)…

Q: Solve the following problem. n=26; /= 0.042; PMT= $297; PV = ? (Round to two decimal places.) PV = $

A:

Q: Solve the following. Additionally, comment on the behavior of the solu- tion(s) as t → o. (a) 3 2 4…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: -5 Answer the following within 10 -x 1. Use Fixed-point iteration method to solve sin x- e = 0, [0,…

A:

Q: 1. Solve the following ODE using separable variable method: dy +(x+2)y³ =0. dx а)

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

Q: - Find the instantaneous vełocity if the p defined as h(t) = 144 - 12t2 for t = 7.5.

A: we have to find the instantaneous velocity.position of an object in feet is defined as h(t)=144-12t2…

Q: Solve the IVP subject to the initial conditions N (0)=1 NP N= Ntet+2 Nis the amon ht in t seconds…

A: Here, initial condition is N(0)=1

Q: If a test is run and p = 0.0356, then we can reject H0 at =0.01

A: Form the given information, P-value is 0.0356. Level of significance is 0.01. Decision rule: If…

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

A:

Q: Solve for x(t) for the given ODE with initial values. x"(t) + 0.25x(t) = 0 with x(0)=3 and x'(0)-4

A:

Q: = 40 dB and By= 20 KHz is found to have N 10° K TO An amplifier with ga when T To Find T and noise…

A: Answer: For the given data,

Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

A: answer is in next step. please give a like !!

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: The population of two different species are given by P1 P1 = 4e0.6t - and P2. where t is measured in…

A: The population of two different species are given by, P1=4e0.6tP2=9e0.4t

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

A:

Q: N 25 )X= 125 SX2 = 650 EY2 = 460 EXY = 508 t was, however, later on discovered at the time of…

A: Given: N=25 ∑X = 125, ∑Y= 100 ∑X2=650 ∑Y2=460 ∑XY=508 Two pairs are taken as (6, 14) and (8,6)…

Q: 1. With At = 2, you will need to take time steps to arrive at t = 4, and doing so you get S(4) = L,…

A:

Q: (a) Calculate the first six iterates in the iteration Xn+1 = 1+0.3 sin(x„) with xo = 1. Choose other…

A: The given recurrence relation is: xn+1=1+0.3 sinxnx0=1