: Does fcz) = Continuous af cis

Q: mly collect the dat

A: Null hypothesis(H0): Reasons are not significantly relegated to the type of worker   Alternative…

Q: Assuming Cov(X, u) = 0 allows us to equate Exû to zero. True or False? Explain.

A: Solution

Q: Find 3²y of z = In(xy)

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Q: Evaluate the integral, 12 sec(4t) dt 2+3 tan (4t) dt = 2+3 tan (4t)

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Q: Prove fulay's formule -CstD)4isin LO)

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Q: Show that cl S = SU(Bd S) %3D

A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° & x∉(ℝ-S)°} let  x∈S∪S'…

Q: Use the Karl weierstrass substitution to integrate

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Q: Use a linear approximation to estimate V26. Whot neint

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Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

Q: Let 1-ff Sysin(r' dvdy . By reversing the order of integration of 1,

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Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: dx IP 1^

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Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: Integrate from 0 to 2

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Q: In SRSWOR show that E(y )= Y

A: ANSWER: For the given data,

Q: Compute Cov(X,Y)

A: Solution: From the given information, the joint distribution is

Q: What is the wronskian of cotx, cot2x, cosec2x?

A: We will find out the required value.

Q: defined BCX,x). a norm Dn

A:

Q: . Show that z)= E kz is D: 1215 continuous io domain

A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

Q: Inn NTT <os 2. n=1

A:

Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

A: tan-1x+tan-11=2tan-1x-tan-113

Q: Find y,(x) if y = In(In(Inx)).

A:

Q: Let X and Y be independent and distributed as N(u, 1). Is T = X-Y sufficient?

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

Q: Prove that d (sec"x)= 1.

A:

Q: Prove that dl = (Vu) x (Vv) - do.

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Q: At what wräluer of * id fG)= メ-メ-2 ズ- 4 discontinuous?

A: The function will be discontinuous if the denominator is 0.…

Q: If u= In x, then 1- (In x)2 dx=?

A: Find your answer below

Q: State Green’s Theorem

A:

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: O Find Valume bounded by %3D

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Q: Find ſ using residues.

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Q: Express E: livenr coumbination of Ÿ; = and V as a

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Q: dt 4е-t — et

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Q: Let Evaluate z dv.

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Q: Let V and W be finite - dimensionl vecter s pace over

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Q: Compute sec? z + x) dr

A: Given : ∫12sec2x + xdx

Q: Integrate the following using substitution rule

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Q: Evaluate the integral. dt 4 dt =

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Q: Evaluate the integral. '3 4,3 3,2 dt -

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Q: Find the upper bound of zdz, where Cis the line segment from 1-/ to 1+ Attach File Browse Local…

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Q: In a

A: We have to find given indefinite integral.

Q: Show the Complete S lu fwn i 3 ナ *

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Q: If u In x, then 1-(In x)2 dx =?

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Q: The term r ryis homogenous of degree two. -

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Q: be a normalize s in general for x | ≤||x|*||y|| e or disprove it eans multiplicati

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Q: Show that S ťe dt = 3VI

A:

Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: - How many modes does X have?

A: The probability function of X can be described as X 1  5 10 15 f(x) 24k 100k 150k 150k

Q: Obtain ez in rec tangular for m Iti

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.