2. Show that () (":")-).

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: If ADEF ARST, then we can conclude that ZS

A: Given, Triangle DEF is congurent to Triangle RST

Q: Show that for baetween ( tana

A: Show that for x between π4,1 for the function tanxx=32.

Q: (a, o) is not measurable.

A: to find that a,∞ is measurable or not  proceed as follows We know that every interval is measurable.…

Q: If = and , -, what is e a+b %3D

A:

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: 2, Choose give Single digit positive in te gor f them' and the mean me

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Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

Q: 3. Use the Racetrack Principle to show that: In x 1

A: The Racetrack Principle :-

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: Prove that no (nº.2)

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Q: Prove that.

A:

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: For this problem, assume the box contains 6 red balls, 7 blue balls, and 5 white balls, and that we…

A: Given that  box contains 6 red balls, 7 blue balls, and 5 white balls. Total number of balls is…

Q: Prove H'n(x) = 2nHn−1(x), n = 0, 1, . . .

A:

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Prove that MSE(Ô) :

A: Consider, MSEθ^=Eθ^-θ2 Here, θ is parameter and θ^ is an estimator              =Eθ^-Eθ^+Eθ^-θ2 add…

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

A:

Q: 81/ show that *if ve(Xジーズ) oif v=(

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Q: Prove inf { ñt nEN}= %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Compute In(z) dr.

A:

Q: that prove

A: Given, D⊂R2 be a disk containing the origin and g:D→R is a  function given by…

Q: B) Show that coth-x = In ()

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Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: see the equation as attached here

A: Solution:Given    0<an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Prove that ∆ + ∇ =∆/∇ −∇/∆

A: We have to prove that ∆+∇=∆∇-∇∆

Q: let X be 4-VV flon)= To Finel ECX) oedECXY)

A: f(x) = x/10 where xx = 1,2,3,4

Q: 3. Show that Z, -

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Q: Find the deriratire of y tanx usim the Difinition Rule

A: Given that:y=tanxTo find its derivative.

Q: Show that if x is in both W and W-, then x = 0.

A: Dot product of perpendicular vectors is 0.

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: 2 Evaluate: ²₁²(x²-y²² du dt

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Q: ,- ). Show that there a 3,4

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Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: Prove: ДАВС — ДCDA %23

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Q: and y If a = -, then æ =

A: The value of angle is  α =-π3 To evaluate : the terminal point Px,y on unit circle.

Q: I, Let dlP) S-a). End fIt) Sta

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Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: D. Let Find 2,-

A: We will find out the required value.

Q: ion Prove that for

A:

Q: TO -n invested on the day of their niece" uously? $

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Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Prove that √2+√5 is irritational

A:

Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2