70. Solid bounded above by x² + y² + z² = 36 and below by = 2 Vx + y?

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: AIS. 4. Compute the area of the surface formed when f(r) = 2 + cosh(r) between 0 and i is rotated…

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

Q: 2. Given that f(t) = f cos x cos(t − x) dx, fin integral.

A:

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

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

Q: .2 (3 – z)(3z + 1) dz

A:

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. // (2x + y) da, D = {(x, y) | 1 s y s 4, y – 3 sxs 3}

A: Evaluate the integral

Q: b) Estimate the integral esindx using composite traperoidal rule with h= 0.25.

A:

Q: Q.3 Find the double integral for Sle x² dydx, where R between y = -4/x y = -x and x = -4

A:

Q: 3)Evaluate /y² + 1dA , Ris bounded by x = 4 - y² ,x = 0 R

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Q: 8. What domain D in space minimizes the value of the integral // (4x² + y^ + z2² – 4)dV

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Q: Evaluate the double integral. // (x2 + 2y) dA, Dis bounded by y = x, y = x³, x > o

A: To evaluate the below double integral ∫∫Dx2+2ydA ,   D is bounded by y=x, y=x3,x≥0

Q: 2. DE with Integrable Combination ( + xy + 1)dx + (x² + xy² + 2y)dy = 0.

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Q: A// compute $(4+ e*) dx+ (siny + 3x*)dy Where c is closed bounded region lying in the first quarter…

A: See the attachment

Q: Evaluate fz² In z dz using integration by parts 2 Onz-+ +c Oz-+ Onz-+c Oz² Inz - 2 + c

A: ∫z2lnzdz=∫(lnz)z2dz=(lnz)z33-∫1zz33dz+c=(lnz)z33-∫z23dz+c=(lnz)z33-13z33+c=(lnz)z33-z39+c=z33(lnz)-z…

Q: Evaluate iterated integral.

A: The given definite double integral is represented by ∫1625∫273+5yxdydx. Since the limits of…

Q: dy 5. Vy -1

A:

Q: .3 Evaluate the integral LST wy+x*v+vz) dzdydx 0, 2.

A:

Q: Evaluate the double integral. [[ ×20 (2+2y) dA, D is bounded by y = x, y = 2³₁x20

A: off

Q: Show that+ = 0, %3D ax dy? where f(x, y) = In(x² + y²) + tan¯'(²) %3D

A: The partial derivative of a two variable function fx,y with respect 'x' can be calculated by…

Q: Evaluate the iterated integral. 7 8 (x² + y² + z²) dx dy dz -6 0 0 7 8 (x² + y² + z² )dx dy dz =

A: Given that: ∫-66∫07∫08(x2+y2+z2)dxdydz

Q: Evaluate  integral.

A: Given: L=∫45xx2+3y dy

Q: Evaluate double integral 0 to 2, x to 2 2y^2 sinxy dydx

A: We have to integrate the double integral:

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

A: We can solve this as follows:

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 iterated integral. 4 1 (3x – 5y) dy dx -1

A: We need to evaluate the value of the following iterated integral ∫14∫-113x-5ydydx

Q: 4. Using the definition of sech x ,x 0 in terms of e , prove that 1+V1-x2 sech x = In ,0<x <1 Hence,…

A: 4) i)

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

A:

Q: is the follecing dif Mantial opuatíon Jmeo on mot Y with x>1. ey-x

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Q: Set up UP the integrel the Pegioni Th bounded 2x2 and y =l+ x F(x,y) dA in by: y= 2x? 2. 4.

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Q: 1- f(x, y) dy dx •x+1 f(x, y) dy dx + at is the sum of the four resulting limits of integration? 3.

A:

Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

A:

Q: Evaluate the triple iterated integral. 2 2 2 xyz dx dy dz of Jo

A: Given that ∫02∫02∫-12xyz5 dxdydz

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

A: Answer is mentioned below

Q: Evaluate the iterated integral. 3 4 5 /// + x² + z² ) dx dy dz -3 0 0 3 4 5 !! (x² + y² + z² )dx dy…

A: We have to find

Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

A:

Q: Determine the avarage Valve of + he Aunction fex)=Cas(z)-Sin Cx/2) PA L-2, by using The meen vaelve…

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Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

A:

Q: Evaluate the iterated integral. (2х — 4у) dy dx Exact number, no tolerance. (2x – 4y) dy dx = i -1

A: The given integral is: I=∫111∫-11(2x-4y) dy dx

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

A:

Q: Evaluate the iterated integral. 5 6 7 ||| ? +y² + 2) dx dy dz -5 0 0 5 6 7 | || (1²+y² +²)dx dy dz =…

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Q: 1 uate the improper integral dx. x(In x)3

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Q: 3)Evaluate || Vy2 + 1dA , Ris bounded by x = 4 – y² ,x = 0 R

A:

Q: Evaluate the integral fff, xyzdV,where: E = {(x, y, z)|–1 <x< 1,0< ys 2,1 szs 2}

A:

Q: 2) Find the total differential dz for z = tanhy In(x)

A: Total differential of z is given by dz=(∂z/∂x)dx+(∂z/∂y)dy

Q: 10.Calculate the double integral ffRXsinydydx, where R is bounded by y=0, y=x2, x=1.

A: Fubini's Theorem- If f(x, y) is continuous over the region R defined by a≤x≤b,   c≤y≤d then,…

Q: 2 2. Evaluate the iterated integral 6x'y dady

A:

Q: Evaluate the iterated integral. 5 2 y dy dx 10 Vx+y 5 2

A: Given, I=∫15∫02 yx+y2dy dx To Evaluate I.

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.