The diagram below shows the curve with equation sin 0

Q: 4. Let H & K are two subgroups or a group G such that H is normal in G then show that HK is a…

A:

Q: Given n (An B)=24 n(A)=44, n (B) =169, calculate n (AUB) = ? and enter your answer in the box…

A: Remember a formula used in this question , nA∪B=nA+nB-nA∩B. So, we have

Q: Let X1, X2, X3 be i.i.d. random variables N(0, 1). Show that Y1 = X1+8X3 and Y2 = X2+8X3 have…

A: Solution:         ut   x1    x2 , x3    iid ~N(u=0, α2=1)         ut  Y1 = x1 +δ x3 & y2= x2+δx3…

Q: g. Suppose 3 random variables follow jointly a multivariate normal distribution as follows: Yı 170…

A: Suppose 3 random variable follows jointly multivariateNormal distribution as followsY1Y2Y3 ~…

Q: Following setsaf vecbr! 3 which of the below ane linear indépendent. A) {!, &s413t} B) {t, ť°,…

A: According to the given information, it is required to check whether the given vectors are linearly…

Q: Let C be a circle of radius 1 centred at the point (x, y) = (0,1), T the unit tangent vector to C…

A: ∮C F.T ds  gives circulation of vector field  along the closed curve C  =>∮cF.T ds = ∮cF.dr

Q: (a) Find the exact value of tan(A) given that tan(2A) 3 and 4 < A< 7.

A:

Q: (d) Find the arc length of the curve. (e) Suppose that the top part of the curve is revolved about…

A: Note: As per your requirement I answered here only parts (d) and (e).

Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Solve DU 112 dx 4x+3 x³ + 2x² + x

A:

Q: Let's modify the logistic differential equation of this example as follows: OP -0.050 (1-1000)- (a)…

A: The given logistic model is:, where  represents the fish population after  weeks.We know that the a…

Q: Use Finite-Difference method to approximate the solution of the BVP boundary value problem у" - Зу'…

A: clc;clear all;close…

Q: Suppose a fund accumulates 5 (t) = { according to the ct (10-t) 0≤t 0.05 t> ere c> 0. deposit in the…

A: Here, in the question a fund accumalates according to the force of interest: δ(t)={.05…

Q: A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20…

A: Population mean (µ) = 20 Standard deviations (σ) = 0.4Sample size (n) = 25Sample mean (x̅) =…

Q: Question 2: A box contains 6 green balls and 8 red balls. Five balls are selected at random from the…

A: 2. There are 6 green and 8 red balls. That means total 6+8 = 14 balls. The number of ways 5 balls…

Q: Problem 8 1. Let X be a random variable with mean μ and variance o². Let Y = aX² +bX+c, a, b, c f…

A: The question is about expectation and variance of r.v Given : A = X + Y + Z2 Where, X, Y, and Z are…

Q: and 4p-1. Find the value of (a) -3√TI (b)-3-√II (c) -3+√II (d) 3-√II Use the following to answer…

A: Given that  p(x)=c/3x  x=1,2,3... 35.. We have to find value of c  36.. P(2≤X&lt;5 )    37.. We have…

Q: Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next…

A: What should be the second elementary row operation performed? Select the correct choice below and,…

Q: В Exit door Figure 1 Sigmund is investigating the behaviour of his pet mouse, Morty, in a maze.…

A: (a) Given that the initial position of the mouse Morry is in room A, and he is equally likely to…

Q: f(r, y) = VI y (c) Prove that the function z-f(x.y) doesn't have any local maximum or minimum in D.…

A: Given : Multi variable function f(x, y)  To find : Need to show that function doesn't have local…

Q: 3. The following table is based on automobile accident records in 1988, supplied by the state of…

A: (a) The objective is to find the log linear model that describes the data. First, enter the data in…

Q: (28) Suppose 1 <N < w and h : w → N. Show that there exist a < b < c < d <e<w such that h(a) = h(b)…

A:

Q: (a) Let F = [cos (x), e-Y, e-2²], C: r = [2t, t², 3t], calculate the integral S. F(r) · dr based on…

A: F=1x+x2y, -y3, C: r=t2, tn(x,y) from (0,0) to (1,1): 0≤t≤1r'(t)=2t, ntn-1F(t)=1t+t4tn, -t3n ∫C…

Q: Find the exact real solutions of the following equations. (a) (2 + 1)(3" + 1) = 6" – 4 (b) 3+1 = 52…

A: Let's find.