x sin(2x2)dx

Q: -3 -2 5 3 Y 1 2 3 4 5 6 7 Describe the white area in the figure using a system of inequalities.…

A:

Q: 4. Let P₁ <P2<< p, be primes and let b = PIP2 Pr. Let a € Z. Prove that if bla², then bla.

A: We solve this using the fundamental theorem of arithmetic

Q: LCM(56, 34)=

A: Given:- Numbers are 56 and 34  To find:- LCM of (56, 34)  Method:- i use prime Factorization method

Q: Find the natural cubic spline whose knots are –1,0, 1 and that takes the values S(-1) = 13. S(0) = 7…

A: Given that knots are -1,0,1 The values are S(-1)=13, S(0)=7 and S(1)=9 S(-1)=13 implies -a+b-c+d=5…

Q: LCM(77, 18) =

A: We have to find the LCM of 77 and 18.

Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: Parametric form of solution : If there are m free variables in the homogeneous equation, the…

Q: of a Ice is an A pie of size and its sample mean is calculated. Find the probability that the sample…

A: Mean of the exponential distribution is 50, n=100=sample size

Q: w. Find a 99% confidence interval on the difference in mean life.

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Q: Sx (Vx-1) dx

A:

Q: 3. For the standard deviation oors and the standard error SE, which of the following is the correct…

A: We know that, Standard deviation σ or s and the standard error SE is given.

Q: DVD Players. A survey of 85 families showed that 36 owned at least one DVD player. Find the 99%…

A:

Q: A square matrix A is said to be idempotent if A? = A. Show that if A is idempotent, then so is I –…

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Q: List all elements of (Mat. (2/22)

A: We can list all the elements.

Q: b. What is the probability that exactly 31 intitutions in this study offer distance learning…

A: Probability, p=94/100=0.94 Sample size, n=35 a) X~B35,0.94 Pdf of binomial distribution, P(X=x)=nCx…

Q: Solve the given differential equation subject to the indicated conditions. y" - y = x + sin x, y(0)…

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Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: The point A(-7, 3) is translated onto 4' by the vector = (5, - 4). The coordinates of A' are o (5,…

A:

Q: The normal curve: has only one peak, in the middle of the distribution. has multiple peaks in the…

A: The question is about normal distribution.Introduction :Normal distribution :1 ) It has two…

Q: You measure 50 textbooks' weights, and find they have a mean weight of 38 ounces. Assume the…

A: From the provided information,Confidence level = 90%

Q: Exercise 13. Let X₁, X₂₁~ N(H₂,o2) i.i.d. and Y₁,...,Y~N(₂, ²) i.i.d. with known o². We assume that…

A: Given  Xi~N(μx,σ2)  ,Yi~N(uy,σ2)Corr(XiYi)=12D=Xi-Yi Show Cov(XiYi)=σ22 Determine E(D) and Var(D)…

Q: 2. tox²Sc.

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Q: In a poll, 1100 adults in a region were asked about their online vs. in-store clothes shopping. One…

A: Givensample size(n)=1100p^=0.37confidence interval=95%

Q: A company produces two types of solar panels per year:x thousand of type A and y thousand of type B.…

A: Given that,

Q: Find all maximum, minimum values and saddle points if any of the function f(x, y) = 10xye-(x²+y?)

A: We have to find Maximum, Minimum and Saddle points of given function using Second Derivative Test.

Q: Which of the following are true? If false, explain briefly. a) Using an alpha level of 0.05, a…

A: The various levels of alpha is given along with different p-values. It is required to choose the…

Q: ) Show that yı = y1(t) = 1+t is a solution of the homogeneous equation ty" – (1+t)y'+y = 0, t > 0.…

A: y1=1+t  is solution of ty''-(1+t)y'+y=0 ...(i)then y1  satisfy the (i)y'1=1y''1=0=…

Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: Exercise 14. Let X₁, X2, X3 be independent Bernoulli trials, i.e. the X, are i.i.d. random variables…

A: It is given that  X1, x2, X3 follows Bernoulli(p).

Q: Let u(x,t) satisfy the one-dimensional wave equation. Derive the equation satisfied by U(5,n)…

A: The one dimensional wave equation is given by  subject to the initial conditions and boundary…

Q: 2. Suppose that two individuals, Jon and David, form a community and would like to construct a…

A: Answer: A.) Amount of protection Jon will provide as a function of how much David provides, and…

Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…

A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2

Q: Problem 4:* Given the 2 × 2 matrix A = 1 3 find the inverse of A+ AT, where AT denotes the transpose…

A: