2.) stote the double integral J (x_ yt) dxdy where R is the region R bounded by Ixl+ lyl s 7 in with proper uv- tronsformation.

Q: Verify Green's Theorem by evaluating both integrals dk + x° dy = /. / dA ду for the given path. C:…

A:

Q: 1. Evaluate the double integral fSp xedA where R is the region bounded by y = 4 – x and y = 0 and x…

A:

Q: 8. Evaluate the double integral S Sp y³dA where A is the triangular region with vertices (0, 2),…

A:

Q: Verify Green's Theorem by evaluating both integrals y² dx + x² dy = / dA дх ду for the given path.…

A: Here we have to verify the Green's theorem.

Q: ON Verify Green's Theorem by evaluating both integrals 7y dx + 7x*dy = J J]a дм ƏA for the path ду…

A:

Q: 2. Evaluate the double integral / 1OxydA, where D is the triangular region with vertices (0,0),…

A: ∬D10xy dA where D is a triangular region with vertices 0,0,1,2, and 0,3.

Q: 1 -drdydz JSJ (x² + y² + 22)#

A: Use spherical coordinate system to solve it.

Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

Q: Use Green's Theorem to evaluate the line integral a-x)dx + (2x - x) d for the given path. C:…

A:

Q: 3. Sketch the region and evaluate the iteraterd integral (a²y – ry?)dydx. 2.0 1.5+ 1.0 0.5 0.0 0.0…

A:

Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an…

A:

Q: 2) Calculate the integral the regions descri bed. over / 2x- 5xy- 3y² dA. On a y = (x-1) /3 , y= -2x…

A: Bounding lines y=x3         → 3y-x=0y=(x-1)3→3y-x =-1y=-2x    →y+2x=0y=1-2x  →y+2x=1

Q: 16. By inspection, a simply-connected and continuous region R A. has no holes and is closed. B. has…

A: Introduction: The application of connected regions is very significant in different fields of…

Q: Evaluate the following integral 8xyzdV in the region R where R: 2<x<3, 1<y<2, 0sz≤1

A:

Q: Use Green's Theorem to evaluate the line integral Scox (y - x) dx + (2x - y) dy for the given path.…

A: The given integral is                                    ∫Cy-xdx+(2x-y)dy for the given path.…

Q: Compute the double integral S, 2xy dA, where R is the region bounded by x = y² and y = x.

A: We are given that the region R is bounded by the curves x=y2 and y=x. So first, we need to find the…

Q: Verify Green's Theorem by evaluating both integrals aN o v² dx + x² dy = / / dA ду ax for the given…

A:

Q: Use Green's Theorem to evaluate the integral (v-x) dx + (2x−y)dy for the path C. boundary of the…

A:

Q: Verify Green's Theorem by evaluating both integrals aN dA |v² dx + - x² dy ax ду for the given path.…

A:

Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

A:

Q: 4. If C is the boundary of a region bounded by x2 + y? = 16 in counterclockwise manner, use Green's…

A:

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: 5. Show that, in the region bounded by y = Vx and y = x2 the following double integral 3 (х + у) dA…

A:

Q: 1. Sketch. the.region.cf.nbegratizon.and.evaluabe..th fallowing. integrals a. Ans. 21.In.2./2. A.. で…

A:

Q: egral dS over the su 9, where n is th surface element

A:

Q: Use Green's Theorem to evaluate the integral [(y-x) dx + (2x−y)dy where C is the boundary of the…

A:

Q: Verify Green's Theorem by evaluating both integrals for the given path. [x² αx + x² or = // (+1) ++)…

A:

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

A:

Q: Verify Green's Theorem by evaluating both integrals (ON-OM) d [[ y² dx + x² dy = √ √ ( ³x for the…

A: In this question, we want to verify the green's Theorem for the given integral.

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x2 dy = dA ду ax for the given path. C:…

A:

Q: Calculate the double integral S TR (2x + 8y + 16) dA where R is the region: 0 < x < 4,0 < y < 1.

A: we have to find the double integral  ∫∫R(2x+8y+16)dAwhere R is  the region 0≤x≤4,0≤y≤1

Q: Evaluate the double integral S, x dx dy where the region R is bounded by: 9 y = 4x – 3, 1 +x. 4 у %3…

A:

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x - y) dy for the given path. C:…

A: Use greens theorem

Q: 5. Evaluate the double integral Sſpx² + xy dxdy where D is the regiom bounded by y = x², x – axis…

A: We have to evaluate the double integral ∫∫Dx2+xy dxdy  , where D is the region  We first sketch the…

Q: The double integral over the non-rectangular region /- e dydx is equal to: None of these (e-1)/2…

A:

Q: Verify Green's Theorem by evaluating both integrals [1²0x + x² +1 = [] (2012 - 31²) A dy (ON-OM) dA…

A: Greens theorm is varified.

Q: Use Green's theorem to evaluate the integral: 6(-x²y)dx + xy°dy where C is the boundary of the…

A: Let C be a positively oriented, piecewise smooth, simple, closed curve and let D be the region…

Q: Which of the ff double integrals has bounds that represents the Region A a. b. y [ -6 y = 2x [ f(x,…

A:

Q: Let ECR³ be the region in the first octant bounded by z = 1 - y² and 2 = 1 x². Determine SSS 2x dV.

A: Given the region bounded in the first octant bounded by z=1-y2 and z=1-x2

Q: 1- Integrate The furction F(X,y= over The region bounded byrj=X7y=2x9 x =1/X=?

A: According to our company guideline if multiple questions are posted we must do only first. You can…

Q: Use Green's Theorem to evaluate the line integral Jo for the given path. C: boundary of the region…

A:

Q: 13. Find the double integral ff(62²-4zy) dA, where R is the region bounded by y=2² and y=z.

A:

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

A:

Q: 2. Evaluate the iterated integrals by (i) viewing R as a type I region, and/or (ii) viewing R as a…

A:

Q: Compute the integral ∮C [(cos x − 3y) dx + (2x − sin y) dy], where C is the closed curve that…

A: The region of integration C is divided into three line segments C1, C2 and C3. Let C1:y=0,…

Q: 4. Compute the value of the double integral fSRe-xydxdy, where R is the region bounded by the lines…

A:

Q: Evaluate the double integral ∬DxcosydA,∬Dxcos⁡ydA, where DD is bounded by y=0,y=0, y=x2,y=x2, and…

A: To evaluate the below double integral Here D is the region bounded by y = 0, y = x2, and x = 4.

Q: Verify Green's Theorem by evaluating both integrals ƏN [< y² dx + x² dy = √₂₁ / (™N - 3W) CIA dA əx…

A:

Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…

A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.

Q: Verify Green's Theorem by evaluating both integrals aN | y2 dx + x² dy dA ax for the given path. C:…

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.