equation f(r.y) = /2y+r² %3D (i (ii) For what choices of (xo, Yo) will the the initial value problem y = V2y + x2

Q: ) A). B) -1.53 172 -1.67 0 2.35

A: If X follows Normal distribution with parameters as mean (µ) and variance (σ2), i.e. X~N(µ, σ2);…

Q: EXAMPLE 1 Parallel vectors Using Figure 13.6a, write the following vectors in terms of u or v. a. PO…

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Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: 1) V16 2) VT - Vī 3) V27 V27 4) 5) V16 Vī 6) V81 7) -V16 – V-8

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Q: b) Show that z, + z, = z, + Z, . 2

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A: We have to find out solutions

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A: 12) In the given figure, there are two chords in the circle which intersects at one point. Now, the…

Q: 4) e4y dy 00

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: b) 7- 3(2х — 4) — 10

A: First we simplfy the bracket and then solve it for the value of x.

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A: Our Aim is to Prove that:-111abca2b2c2=a-bb-cc-a   -(i)

Q: 3sin (y) xcos 4 dzdxdy

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Q: Evaluate J S S dydx. r4x Jx2

A: To solve this question first integrating with respect to y and plug in the limit then integrate with…

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A: Given Data: a→=-3, 0, -1b→=1, -3, -5   The value of the vector b→ is, b→=x2+y2+z2 Here, x is x…

Q: 14 - Which one is a basis for the vector space R3 ? 1

A: We have to check

Q: 1.) 4D4 + 20D³ +35D² +25D+6)y=0

A: Given differential equation: 4D4+20D3+35D2+25D+6y=0To find: General solution.

Q: 5 7 8 10 2 3 Let A= and B= . Compute 4 5 (a) AB (b) (AB)"

A: Given A=57810B=2345

Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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Q: /(r² – 8)5

A: Use substitution method to find the integral

Q: 4 5 6 6 1 A = 2 1 1 b 3 If ronk CA) =2, a+ b = ?

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Q: le + 2*]dx - 2*r]dr 3.

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Q: Question 2 Give the form of a particular solution of y" - 8y' +16y=-2xe 5e4-2. -2z - a) z = = (Ar² +…

A: We have to find Particular solution for given Differential equation  y" - 8y' + 16 = -2xe-2x - 5e4x…

Q: 2+13y+ 12

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Q: iii) | x²cos4x dx

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Q: 13. Find B x A, if A = {0,1,2} and B = {a, b}

A: B×A={ (x,y) : x€B and y€A}

Q: Find a and that solve the vector equation: α + B 9 17

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Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

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Q: Find x, y, and z* 3.

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Q: Find A³ if A = {c, d}.

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Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: 1. Calculate a. (3-7)

A: We have to calculate the sum of given series.

Q: 1) 2) 3) 4) 92 109 108 75 112 4.

A: Arc length  S = r.theta   So, 1 .     a = 75r 2.  b = 92/r  3 . c = 108/r

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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.