) Find P (XS1, Y<1)

Q: Find the length s of the path (3 + 10r,9 + 2r312) over the interval 5 < t < 6.

A:

Q: 4.3.a Use Theorem 9.4 to show that Y is sufficient for p 4.3.b Find the MVUE for p

A:

Q: O s/Vn 12

A: The standard error is denoted by SE

Q: Suppose that X ~ Exp(1) and Y ~ Exp(1) are independent. Find Skew (2.X – 1) and P (X < 3Y).

A:

Q: P is of degree 2; P(0)=4; zeros -1, 4?

A: Write the standard form of polynomial with the help of zeros.

Q: 5.2 Q3: By using Trapezoidal rule find I | In xdx , where n=6.

A: The objective is to find the integration of the given function in the interval [4,5.2] by using…

Q: y If z = show that = 0. x + y?*

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Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

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Q: 2. If z = x° In 2.xy, find at 1,-

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Q: Two students are named to present their work from a class of 12 students: 4 from electrical…

A: Department Number of students Electrical 4 telecommunication 5 Computer 3 Total 12

Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

A:

Q: 2 Delermire if fW=x s is even, odd neither.

A: As we know that a function f(x) will be  1. even function if f(x)=f(-x)  2. Odd function if…

Q: 74. Show that if 0 < x < y, then Vỹ - Vx < Vy – x.

A:

Q: 우(4,3) - +xy Elewhere a fivd 우 (s) 6) find p( ys%2 /x= 0:3)

A: A joint probability distribution gives the probability for two variables together which is…

Q: given that y = 1 eries with h = 0.

A:

Q: 5. Find all points at whi

A: 5. Given curve C with parametric equations   C: x(t)=2cost, y(t)=8sint We have to find all points on…

Q: for z = In(2® + y*). Find

A:

Q: show that Ф (x, y, z) = аф PDE : агф дуг + дуг I х2 +у2 +Z2 024 072 satisfies the

A:

Q: 2/3 Determine the length of x=| for 0<ys2. Assume that y is positive.

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Q: Let x be the number of red balls among 3 balls randomly selected from a bag containing 9  black ball…

A: Given,no.of black balls=9no.of red balls=6Total no.of balls=15

Q: If y = xsinx then prove that y''+y=2cosx

A:

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

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Q: Sketch the set of points satisfying: |z - 1 + 2i| = |z + 3 + i|

A:

Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: (2) Let P = (1, 1), Q = (4, –2) and R = (2,3). Find the point S such that R$ is equivalent to PQ.

A:

Q: Prove that if A−1exists, then there can be no nonzero y for which Ay = 0.

A: Prove that if A−1exists, then there can be no nonzero y for which Ay = 0.

Q: Find дхду of z = In(x² – y)

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Q: If k> 0 such that k S x 8k dx = 7 then

A:

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: 8. ) Find the smallest values of x and y such that 27

A: Given query is to find the smallest value of x and y.

Q: Let z = 6exv , find dz %3D

A:

Q: Q1. Compute xdx x' +10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: we have  I=∫01x dxx3+10dx  n=3h=b-an=1-03=13…

Q: Suppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px…

A: Solution: From the given information, a fair die is tossed two times.

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: To solve this type of questions we consider the worst case that is  after taking all red balls we…

Q: 5. Find the v alue of x. 5x – 4 x + 6

A: Given :    To determine : The value of x.

Q: 6. Find the fized point of flx) [-,1] where', on fa = (동) x-(올)x3

A:

Q: If X is uniform on [-2,2] then p(x <0) = 1 1 2

A: X is uniform on [-2,2]   a = -2,   b= 2

Q: 3. Show that à = (6xy + z³)î + (3x² – z)ĵ + (3xz2 – y)k is irrotational. Find p such that A Vọ.

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Q: 2.Find the aver ase value Of the functlon f(x)=x-6over [l,3]

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Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…

Q: If θ̂ is a point estimator of θ, prove that MSE(θ̂) = V(θ̂) + (B(θ̂))2

A: We have given that θ̂ is a point estimator of θ. We know that  MSE(θ̂) = E((θ̂ - θ)2 )

Q: 16) * Find y' if y In (x2-8), when x 4

A: