5) Describe in your own words, what is the difference between Ayand dy? Under what condition(s) will they be close?

Q: Use Venn diagrams to verify DeMorgan's laws.

A: We have to verify DeMorgan's law by Venn diagram

Q: Selue Tue Neumann Psoble 1, Uzloy.2)=

A:

Q: What are the complete ordinates for simpson's rule?

A: Simpson's rule is given by ∫abf(x)dx=h2fx0+4fx1+2fx2+...+4fxn-1+fxnWhere,xi=a+ih

Q: Theorem 8o4 ŏ In a parallileguam, oppesitiangles ale equal aie

A:

Q: 4/ur grans funthon y"-Uy't3y = et

A:

Q: 21 z, Z

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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

A: Solution-: Given: We find

Q: 7 of oi picy S e cifein

A: Given:- y=4x-1 2x+y=5 To find :- solution of  given equations by graphical method

Q: Consider two perceptrons defined by the threshold expression True or false? Perceptron A is more…

A: Consider the given threshold expression, ω0+ω1x1+ω2x2>0 Here we have given that the perception A…

Q: Find the reductión Bormula Bor d x In (a+bshmx)"

A:

Q: 4J Evoluote the deleriminonts to verify the equotion. %3D whiy

A: The detailed solution is as follows below:

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

A: The formula for Simpsons 1/3rd rule is ∫ydx = h3f(x0) + f(xn) + 2(f(x2) + f(x4)+..f(xn-2)) +…

Q: cond, and third prizes be drawn from a box containing 120 names?

A: A box containing 120 names 3 prizes be drawn

Q: Show that :(i) Fishers IN. lies between Laspeyre's and Pagsche's Inder numbers.

A:

Q: 2)Evaluate exdA ,Ris bounded by y = x² ,y = 1

A: By using Fubini's theorem we solve the given problem.

Q: 6. Sš(vtny - (ylny - )dy 9-у?

A: Solving the following integral in two parts and then combining the results gives the solution.

Q: Ml letfi RR beefuretion fX1 . Xis Yatiavel numbet if xis7alialel-numbet Discuss the…

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Q: what is the anti -devi vabive of

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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: what is Bayes Theorem? give some examples?

A: Bayes Theorem A theorem detailing how to estimate the conditional probability of each of a range of…

Q: Without using the  L'hopital rule. Solve Questions 1,2 and 3.

A:

Q: What is the soluion to this vystem of eguations? 4.

A:

Q: Discater soles of Sign 99 Discrates &ules theraber e čal zetos of of sign is used defermine…

A: Discrates rules of sign is used to determine the number of real zeros of a polynomial function.…

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: 3. +4 Use the ehain rule to find devinitine

A: Here we have, y=x2-22x3+44 Differentiate with respect to x,

Q: Is this an example of Simpson's paradox? Explain.

A: Simpson’s paradox: Interpretations are obtained from more than two single cross tabulations and that…

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

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

Q: Compare gamma breadem funclin with Laplece Esangforadlia by de finition. and Jesdt preve

A: .

Q: A stake of Rs. 44 is to be won between 2 players A and B, whoever gets 6 in a throw of die…

A: total stake is 44

Q: Region ¥=1=sino jn 1-st q4adrant enclosed by the eardieid

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Q: Satre Ue tollovatoginitial vue rotom. Shaw ll steps.

A:

Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: (13 + 8)–å dt

A: See the details solution below

Q: A 6-foot sub valued at $25 is divided among five players (P1, P2, P3, P4, P5) using the last…

A: Since, fair share = (Price of sub)/number of players Then, fair share = 25/5 = $5 And, P1 cuts the…

Q: You are curious to kno* control. What type of s

A: The sample is a part of the population. The population includes all the units but sample contains…

Q: 12. / tan u du = In | sec ul + C

A: To prove - ∫tanu du = lnsecu+CProof - Let,y = ∫tanu duy = ∫sinucosudu…

Q: Find the maaimum and miniryem Valiaes of e feencteon Cif exits) feny) Luž-3ary

A:

Q: 5% level, that men who ask a woman's father for permission before asl woman have marriages with…

A: In a random survey of 500 men who asked a woman's father for permission before asking the woman for…

Q: 4)Evaluate tay-ydady Where Sis a Lringle with Veetui (0,0),10,1-(0,D.

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Q: Are these right?

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Q: 3 has infinitely many soluti

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

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Q: 9) Obtain the neetilinear attarymptotes.of the cunve

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Q: Let X= Ucy) out of standard er dere d unierm and Y= Uc5) out of

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

Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: abet contains 21 cc of the English alph e vowel? o vowels?

A:

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

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.