アノ fの ={2 where J = {-1,0,1} 8' 0, elsewhere IN.

Q: In ir le) secx dx to be integrable using the formula What should be the value of A for 2- sec x…

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Q: integral i

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Q: ln (ale) secx (2– sec²x)em sec(3A – x) What should be the value of A for dr to be integrable using…

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Q: Q0 Integrate 2 from x? o to L x²_2 trapezaidal rule with four

A: SolutionIntegrate x2-2 from 0 to 4using the trapezoidal rule with 4 bandsFormula of trapezoidal…

Q: raluate the double integral R 3ædA where Ris the triangle with vertices (-1,0), (0,1) and (1,0).

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Q: .rdx dy Prove that (a) (b) (8)

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S sin³ x cos x…

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Q: Prove that cosh-z = In (z + vz? - 1) %3D

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Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) -5t- dt. If the integral does not…

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Q: | (sec 4x – 1)dx

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Q: Prove That:- o sinhz= loy (Z+lz*+l )

A: To prove, sinh-1z=logz+z2+1     Lets consider, y=sinh-1z…

Q: Use symmetry to evaluate the double integral. Ja+ (1 + x8 sin(y) + y sin(x)) dA, R= [-π, π] x [-π,…

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Q: x +1 dx. Vx² + 10x + 28

A: given∫x+1x2+10x+28dxlet us write numeratorAddx(x2+10x+28)+B=x+1A(2x+10)+B=x+12Ax+10A+B=x+1comparing…

Q: Ue fe Einemial Theorem to ine tre coeficit ofnthe eparsion of ir+ 31

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Q: Using only the definition of RS-integral, evaluate 2 ,2 x* d[x}.

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Q: Evaluate the improper intergal 1 dx using the residue (x2 + 9)* theorem.

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Q: Df be areal value integrable on [0,11 f(x)dx =1. t

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Q: What is the integrable form of et dx? e-e-X

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Q: g integrals. tion. (Use c1 and c2 for c, and c2).

A: Given, the nonhomogeneous differential equation :           y'' + 3y' + 2y = 2e-t.

Q: Evaluate the integral 4 (y 2)(2y1) dy Jo

A: To evaluate,

Q: ex What is the integrable form of dx? e* - e -X

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Q: Evaluate the improper intergal 1 dx using the residue (x² + 16)² theorem.

A: We need to evaluate integral.

Q: integral t 3 et dt

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Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

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Q: Evaluate the integral. S (sec z ecr tan r + sec² x) dx

A: For detailed solution see the next step.

Q: Evaluate triple integral ſ´, S,2 ¯* dz dx dy .

A: We can solve this as follows:

Q: 2.Prove that L (sinwt) %3D s2+w?

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: Evaluate the iterated double integral: esec y+1 dy dx. VE sin y sec

A: To evaluate the iterated double integral :               ∫14∫sec-1xπ3  esecy+1sin ydydx

Q: Evaluate the integral ∫sec z tan z/√sec z dz

A: Given: I=∫secztanzseczdz for evaluating given integral, in given integral we substitute secz=t…

Q: integral

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Q: Using only the definition of RS-integral, evaluate |x* d[x}.

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Q: f(x) = 1- r, 2 V

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Q: z csch V z´+1 dz Z CSC .2 Vz+1

A: Explanation of the answer is as follows

Q: Evaluate the folloming int egrals:- D s secizo tanf2ode 2) S tan' sx dx

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Q: What is the integrable form of et dr? ex – e -x [(1-u²) ² du O Swi-) - 1) 2 du (1- " (D 2 du

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Q: use a geometry formula to find the exact value of the definite integral.  5 dx on interval[-2,6]

A: Question is to find the exact value of the definite integral 5dx in the interval [-2 , 6 ]It is…

Q: Find the length of x = In(sin y) from y = to y = . %3D

A: The arc length of a function is the length of a curve fy on an interval a, b given byL=∫ab1+f 'y2dy…

Q: Evaluate the improper intergal dx using the residue 2 (x² + 4)² theorem.

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Q: Use Green's Theorem to evaluate the line integral of F (x°, 9x)

A: Given, the line integral of F=x3, 9x around the boundary of the parallelogram in the following…

Q: Using only the definition of RS-integral, evaluate x* d[x].

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Q: Find the total differential. z = x cos(y) -y cos(x) dz %3D

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

Q: a) dz, T: z (t) = -e-int, 0<t <1. %3D -1 1

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let f(x) = x² sin – if x # 0 and f(0) = 0. Then ƒ Reimann Integrable True False

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Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

A: Sol

Q: Evaluate the improper intergal 1 dx using the residue (x² + 1)3 theorem.

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Q: Find the value of 'h' in 8 dx evaluating by 1+x Trapezoidal rule braking in 24 intervals. 1.25 0.25

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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.