Suppose that (r ^ q) V (p → r) is known to be false. In this case, which of the following statement: FALSE? Select one: O pVqVT O (r → q) → (p –→ q) Op→(q V r) O pA(q+r) (p V q) Ar

Q: If u=f(x2+2yz,y2+2zx).Prove that

A: Given: u=fx2+2yz, y2+2zx Let u=fv, w where v=x2+2yz and w= y2+2zx. Now prove…

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Q: which of thbe Fallowing is -2X the Valae af the generalized inbegral?

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Q: Use Newlon's Me thod with the runclion $r(x)=x^{2}-2$ and inilial value $x_{0}=3: to calculate…

A: Givenf(x)=x2-2            and     x0 =0 newton method  xn+1=xn-f(xn)f'(xn)

Q: Let z 2ev Then: 8z 8z dy sissis

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Q: 18, then Ku = 3 and µ4 Af U2 %3D %3D Select one: O Platy O symmetric O Lepto O Meso

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Q: H.w, Consi dev The Syofem by and Gass Jorelau 3メ-23+る =25 メ+33-2るー2 ux- 5y - =31

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Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: cosulen Dhe probubily densty functren OTherwise which randen werclde Xfellews Find pobebility Tht

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Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w&gt;x and y&gt;z. Now we want to show…

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Q: O express. tx) as ompositionm f Turee fandions

A: Given data: The given function is t(x)=(1+sin(x3))2. The given function can be written as,…

Q: Prove using the IVT,  √2 exists.

A: To prove using IVT, 2 exists.

Q: Given: mTRV = 60° M2TRS = (4x)° %3D Prove: x = 30 Z. 60° R (4x)° W

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Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

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Q: find the fimet Qurtal dernratives 7 respect to rarraes X,4,Z.

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Q: Suppose that (Q x Q, +,.) is a ficld where (x, y) + (z,w) (x+z,y + w) and (x, y). (z, w) (xz +2yw,…

A: I have find identity of the field and then inverse

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

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Q: Find the Arey Of the ouer [o,2] ? ojon betueen me gropns fo)=x" and gex) CX+I) こ

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Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: どタ -e -at u Ct) = (a +jwjñ+!

A: To prove that tne-atut↔n!a+jwn+1 It is known that  ut=1 , t&gt;0=0, t&lt;0 Therefore,…

Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: Use the difinition of error function Prove that: 5(1/₂/2) = 5T let: ere (x) = 33/3324 dt

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

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

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Q: 3 1-Vy dy 2 2у3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: 3. If u= (x+y +z') , prove that +y

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Q: 2 la), Pu (aw by Re currence relation

A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

Q: 2. is it or divery Con

A: To solve the problem and find its convergence

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A: From the given information, X=U(4) out of 8 standard ordered uniform and Y=U(5) out of 8 standard…

Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

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Q: Compute Simits If they the eist 8+iz z²+4 hit Zマ-2 Re 2

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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

Q: vsin ax (02+4)4= sin x is the fun ction with y %3D

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: