Q #2 Let X - R" and ne N and z = 3 X,.G V neN where Gn = { (miy) €R* : y>nuf. gs z a topoligy on X. %3D

Q: What isP + Q+R+S? 5 v25-2² 3 PQR S S S1dzdy dæ = S S S S dz dr d0. 0 0 0 %3D 0 0 0

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Q: at. 9) a b) P(0) C) P(X>0) D) P(X>0) E) p(x < -2) F) mean u of x 9) vanance o? of X 2.

A: given   X -1 0 1 4 P(X) 0.2 0.5 a 0.1   d) to find PX≥0 PX≥0=PX=0+PX=1+PX=4 we have…

Q: Evaluate e21.1.png aln(v) dx using Trapezoidal Rule with 8 equal intervals. if a = 14.49, b = 2, and…

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Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

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Q: Evaluate SSS 7e(=²+y²+z?)*² dV over B where B = {(x, Y, z) : x² + y² + z² < 1}. Take T = 3. Turkcen.…

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Q: Given: f(x, y, z) = y²³ In (x + 2) + ³x cash (yz) 9). Determine if the level curface of at k = 0…

A: The given function is: fx, y, z=y5lnx+z+3xcosh yz a) Determine the if the level curve at k=0 passes…

Q: A computer algebra system is recommended. Consider a rod of length 28 for which a? = 1. Suppose the…

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A: We have given geometric distribution and two statistics associated with it and we have to check…

Q: The weight function for y"- y +3de* y = 0 is 3e* none O ex

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Q: Evaluate * ISS 9z dV E where E is enclosed by z = x? + y? and z = 1 4JT O 3T O 27 ол

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Q: Delermine seich all mateuraal neumbers e, y 4 that ayz t scy t Iz tyz tety +złl=2020

A: You must have an idea how to do factor of any equation. The

Q: As x approaches positive infinity, which of the following describes the end behavior of y = -a + br…

A: Given, y=-x5+bx+c

Q: Determine L '{F}. s?F(s) s+5 + 3sF(s) – 10F(s) = %3D 2 s+ 6s

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Q: liid, find a for 日 If X、,メ。,X Xu are Complete s ff arat statistic for 0 if:-

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

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: 1 (2) Suppose that g(x) is an antiderivative of and g(1) = 3. 2 Va3 What is the value of g(4) ?

A: Given:        Let fx=-12x3     g(x) is the anti-derivative of f(x).       By anti-derivating  the…

Q: 6. The value of S,2 esinx dx, by using Simpson's 3/g th rule is equal to (A) 2.09323 (B) 2.19323 (C)…

A: Option D is true.

Q: ppose X1,...,Xn are i.i.d.U(0,θ). You want to test H0: θ=θ0 versus H1:θ < θ0 at level α? Derive the…

A: The given information is: Xi~U0, θ or fx=1θ,   0&lt;x&lt;θ The null and alternative hypotheses are:…

Q: Suppose M max{e for x E [0, 00)}, then the value of M is %3D Answer:

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Consider the figure below. uestion 1 T. 2x W Зх - 5 Previous

A: Given TW= 2x, 3x-5

Q: a) f a²+ a ECCR) for all a E R, then Poove thot R is Commutalve.

A: According to the company's guideline, we shall prove first Que only. For others, kindly post again…

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: Consider the utility function U(x, y) = xy + x, with MUx = y+1 and MUy = x. (Verify these.) a. is…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q2 Let X1, ... , X, (r;0) = e/, x > 0. %3D (i) Find the score and information functions of 0. (i)…

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Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: EX Use Euler's method ( modified) to approx; mat e y' = x+y for yC1) = 1; h=o.1,13X<z withe aecuracy…

A: We Use here Euler's Modified Method to find the solution.

Q: A series RL circuit with R = 10 N and L = 1.5 H has a constant voltage E = 25 V applied at t = 0 by…

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Q: Q4/is that, the Sulutton to the differentiel equation dy-tX+4. is it's

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: Compute R6 as follows. R6=0.5 v0.5+v1+v1.5+v2+v2.5+v3=0.5 15+18+25+19+14+18=0.5 109=54.5 Thus,…

Q: of fxyl = 3X-y+6 Subjected QI Find to x+y=4 extrume v alues

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Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0.…

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +…

Q: 00 for For two independent lives age 40, you are given that H40(t) t< 60. Calculate Var(T40:40). %3D

A: It is given that two independent lives age =40. Also given, μ40(t)=80-t for t&lt;60. μ40(t)=80-tt…

Q: Suppose m = min{ Vx for x E [4, 0)}, then the value of m is Answer:

A: As per bartleby guidelines for more than one question, only 1st one is to be answered Please upload…

Q: m. i) Proove thal kshere n g a positive enteger aud m7-1

A: Gamma function is defined as Γ(x) = Integral on the interval [0, ∞ ] of ∫0∞t(x-1)e-tdt

Q: S dy ² + 4y+20) ²

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Q: f(z) =e? is contiuous in C

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

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Q: Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

A: Given equation is: Pn+1=r+1Pn+m⇒Pn+1=rPn+Pn+m⇒Pn+1-rPn-Pn=m

Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

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Q: - Given y= ela's -x²-In'r, what is y'?

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Q: = √ √ XY S: z = 9-x-y, first octant Evaluate xy ds.

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Q: f(z) = e? is contiuous in C

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Q: •P R S. T OP with mTOR = 0

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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: Differentiate the function

A: Recall the following facts on differentiation.

Q: O Given Fy)= yi (x, y> andl C? P(E) = for 1s¢s4, evaluate S FidP.

A: We will use the definition of the required integral.

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

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

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.