If S = (a,b,c) with P(a) = 6P(b) = 2P(c), find P(c). %3D %3D

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: 3 d : 4me-m2 dy. dm

A:

Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: Higher Order L.D.E (D2-2D+10)2y=0

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Q: a) FVoa = ? PMT - 300 r= e 4%=0.04, Az0.04 12 2 0•00333 %3D 5x 12 z 60

A: According to the given information, it is required to rewrite the answer. For part(a)

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: 1 ydx – xdy = (x² –y²) 2 dy

A:

Q: Sheldon is trying to fry Leonard’s brain and is channeling a circular radioactive wave whose radius…

A: Given that: Rate of increase of radius = 7cm/s                   Location of Leonard = 250 cm east…

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

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Q: Integrate the FF 2) dv Y Cy+z2)

A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: of Chal) D x24 6x -2:0 ent

A: Solve x2+5x-2=0

Q: Use the diagram below to answer the following questions. Part A If JK LM, then PX PY . is less than…

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Q: Solve the ff. ( Inspection )

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Q: y" + ay' t sy = g e-2^ + 8 %3D ylo) ay'6o) =

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Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

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Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: So d e2x 0 e2-5 dx is equal to

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Q: d. x²dy + (2x³y – e*)dx = 0

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Q: d²y Find if y = , dx2

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Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: Find EF in the trapezoid. A 4 D E 2x+6 5x+4 EF = %3D

A: Find EF in the trapezoid.

Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: dx O a 2 In + C O b + 32+321 + C O d + 32+ 32 In(x+V16x2 + 32]] + C

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Q: ydx + (2x — 7у)dy %3D 0%;

A:

Q: Find d2y/dx2 implicitly in terms of x and y. x2y − 3x = 8   d2y/dx2 =

A: Consider the given function, x2y-3x=8 use implicit differentiation method and differentiate with…

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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Q: If f(x) dx 37 and (x) dx = 14, find [4f(х) + 69(х)] dx. %3D

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Q: 32. E F mZE = %3D mZF = 117° mZG = %3D H G

A: Here , m< H CONVERGENCE TO m< G AND m< E CONGRUENCE TO m< F  and m< H + m< F =…

Q: 1. y" - y' - 2y = e* %D

A:

Q: Q6 Find dy, if y- +++

A: Given :y=xxx

Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

Q: Then E(((X + 2Y)'D is equal to:

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Q: find dy,if y= x²+2)Cx*+3x+) %3D

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Q: Select the best option based on the information below. W. MP, = TRS w2 Lat(x, ,x;). MP, %3D Select…

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Q: Consider the diagram below. d/ r 12 If mzr = 37°, which of the following is the measure of Ls. %3D A…

A: We have to find angle

Q: In AFGH, mZF = (3x – 15)°, m/G = (8x +8)°, and mZH = (2x + 18)°. %3D %3D What is the value of x?

A: In ∆FGH, m∠F=(3x-15)°, m∠G=(8x+8)° and m∠H=(2x+18)°

Q: If fx Inx dx =x²Inx - Sf(x)dx, what is the vahue of S, 4f (x) dx? A) 1 B

A: Given, If ∫xlnxdx=12x2lnx-∫f(x)dx, what is the value of ∫014f(x)dx

Q: Given the function y = x-x² – 6x, to find the total of all the areas between the graph of this…

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Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

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Q: dy is Q5. If e** =xy, then dx

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Q: Given y = e-2", find y'. %3D

A: We will use the chain rule for derivative

Q: e. (3х — 2у?)dx —- 2хydy %3D 0

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Q: 3 -dp 72 + x2 Integrate: + C

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Q: If AB 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O0, find CF. %3D E D F

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Q: L,x – x*) dx = ²

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Q: dy =e 3x dse + lo e2u

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Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

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.