xyz dy dz dx -8 -V 64 – x2 xyz dz dy dx 64 x2 -8 Evaluate one of the triple integrals. xyz dV =

Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: Evaluate the iterated integral. 5 4 (3x + 5y) dx dy 5 4 (3х + 5у) dx dy %3 i

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Q: (x + y) dx dy Jo Jy/2

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Q: Find the integral | 2(x* – x°)(x5 – 1)®dx а. b. In x2 dx 2х J x + 3)* С. 5.

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Q: 19. S elnx²dx 20. S y²e²y dy ,2y

A:

Q: 1. Evalute the improper integral 3x dx. 1+ x2 -1

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Q: 23) Evaluate triple integral S dz dy dx. x-y

A: Given integral is ∫02∫x22∫x-yx+ydzdydx

Q: Evaluate the double integral : (3 – 8z) dz dy

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Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: 1. Evalute the improper integral 3x 1+2 dx.

A: Suppose, we have the integral, ∫a∞f(x) dx, such that f is integrable on [a, t], t>a. Then,…

Q: Evaluate the double integral : (x + 2y – 4) dy dr

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Q: 5 1 So (125 + 25x + 6) dx 6o S X (1 + x²)3 dx / 1 + x² dx 1

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Q: Evaluate the iterated integral. •2Vx + 1 (xy + 7)dy dx 2vx

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Q: Evaluate the integral. In3 3e2x dx In3 3e 2x dx = 0

A: As we know that; ∫a·fxdx=a·∫fxdx And ∫eaxdx=eaxa+C From the given problem: I=∫0ln33e2xdx

Q: Find the complete integral of 1 dz z dx 1 dz z dx2 1 dz = x1 X2 X3. z dxz %3D

A: Given 1z∂z∂x11z∂z∂x21z∂z∂x3=x1x2x3. Find the complete integral using the Jacobi method.

Q: Evaluate the integrals

A:

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: xyz dx dz dy Jy/5 xyz dy dz dx xyz dz dx dy y/5 xyz dz dy dx Evaluate one of the triple integrals.…

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Q: Q3) Evaluate triple integral , S S2(x² – y²)dz dy dx .

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Q: Evaluate the iterated integral. (3x + 4y3) dx dy

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8…

A: Topic:- application of integration

Q: Find the complete integral of 1 dz z dx 1 dz z dxz 1 dz =x1 X2 X3. Exe z

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Q: dx ¤(x+2)²

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Q: Evaluate the double integral : (y – 10x) dr dy

A: To evaluate the given double integral.

Q: aluate the Cauchy principal value of the given improper integral. dx (x² + 1)²(x² + 9)

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Q: Find the complete integral of 1 az z dx, 1 dz z dxz 1 dz =x1 x2 X3. z dxz

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Q: integral y 3 In y dy

A: Given Data The integral is    Let, Differentiate the function f(y) with respect to y,

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: integrals in Erarnices 6 to 20: dx 8. (ax +bx+c) dx 7. Vx - 1 dx (11 x' +5x - 4 dx dx 10. - dx…

A: Given :

Q: 2x+3 (2x² + 6x − 1) b. f 1)s dx

A: B only Integrals by Substitutions

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: Find the complete integral of 1 dz 1 dz 1 dz z dxz Ixe z z dx2 = x1 X2 X3.

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Q: Set up an iterated triple integral equal to √3-x² | = • S√³/3 SO √√3 x² + y² 3 2-₁/4-x²-y² 2y dz dy…

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Q: 15. Express c9-x² f(x, y)dy dx as an iterated integral in the or- der dx dy.

A: first, we will write an equation we have  y=0,y=9-x2x=-3,x=3 changing it w.r.t x we have…

Q: Evaluate the iterated integral of 2 2x . (x2 + 2y) dy dx

A: Evaluate the double integral

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx…

A: Integration:- A integral assigns numbers to functions in a way that describes displacement, area,…

Q: x³e-x*dx 1. "Since the integral ( Select ] [ Select ]

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Q: 2. DE with Integrable Combination (13 + xy + 1)dx + (xr² + xy² + 2y)dy = 0.

A: Answer is mentioned below

Q: (i) Change the order of integration in the integral Vi-x dx dy (1+ev)NI-x²-y and hence evaluate.

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

Q: Evaluate the integral; 11 dy dx 1+ 3y3 0 vx

A: Change the order of integration

Q: I = So S 5 sin(y²)dydx with u = 5x and /en U =20. Change the order of integration then evaluate the…

A:

Q: Find the general indefinite integral: 1) S(x13 + 7x².5)dx 2) S Vx5 dx 3) Sv(v² + 2)²dv 4) Sx³cos(x*…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Evaluate the integrals 1 (x² + y² + z²) dz dy dx 0, 0,

A: The value of the integral is, 1. The detailed solution is as follows below:

Q: 1 dx x+1 1

A: Evaluate improper integral

Q: (i) Change the order of integration in the integral vi-x dx dy and hence evaluate.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: / Evatuate integrals t 16 dx 2x VLAX 6 dx 4-25Y 2-

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Q: Calculate the integral, for y> 2. 'Y x² - 4x + 5 √₂ - (x² − 2x + 2) (x² − 1) dx,

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Q: Evaluate the double integrals: [(x + y+1)dxdy

A: Here we will evaluate given double integral,

Q: FCx) is continoos on L3,5) and S Fex) dx= 5 Evaluate integral

A:

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.