F(x, y) = (3x2 + y i + 3xy²j C: boundary of the region lying between the graphs of y = Vx, y = 0, and x = 9

Q: (2y – x*)dx + (4x + y²)dy where C is the boundary of the region in first quadrant bounded by x2 – 2x…

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Q: Let R be the region bounded by y = 6.5 – x, the x axis and the y axis. 6 4 3 2 1 The solid obtained…

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Q: 2. Find the volume of the solid generated by revolving the region under the curve f (x) = x² + 1…

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Q: (2 points) The volume of the solid obtained by rotating the region enclosed by y = x², y= 5x, about…

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Q: valuate the triple integral. 6xy dV, where E lies under the plane z = 1 + x + y and above the region…

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Q: Sketch the region R of integration and switch the order of integration. V 64 - x2 f(x, y) dy dx 5 X…

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Q: Evaluate y'dx+ xydy where C is the boundary of the region bounded by y = Vx.y 0, and x 9.

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Q: Sketch the region of integration and change the order of integration. 46. -2 Jo /4-y² f(x, y) dx dy

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Q: Let M be the region in the first quadrant bounded by the graphs of y=sin(πx/2) and y=x^2. What is…

A: Given: Region M in the first quadrant bounded by y=sinπx2 and y=x2. To find: Volume V of the solid…

Q: Express the region as a union of Type I or Type II regions and evaluate the integral ffy dx dy. YA 1…

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Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given: ∫Cy2 dx+xy dy, where C: boundary of the region lying between the graphs of y=0, y=x, and x=25…

Q: Sketch the region R of integration and switch the order of integration. 9 - x2 f(x, y) dy dx y y 4 4…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Integrate f(x, y, z) = x over the region in the first octant (x 2 0, y 2 0, z 2 0) above z = y2 and…

A: Given that,

Q: - Find the volume of the solid generated by revolving about the line x = 1 the region bounded by the…

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Q: I| (12y – 8x) dV where E is the region bounded by y = 10 – 2z and in front of the regic bounded by z…

A: Please refer to the image below.

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: 11. xyz dV, where G is the solid in the first octant that is bounded by the parabolic cylinder z = 2…

A: To evaluate the triple integral

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Verify Green's theorem in plane for (x* - 2xy)dx + (x°y+ 3)dy where c is the boundary of the region…

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Q: Evaluate (x+ y) dx +xy dy, where Cis the positively-oriented boundary of the region bounded by the…

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Q: Use Green's Theorem to evaluate the line integral. √ y² dx C: boundary of the region lying between…

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Q: Use Green's Theorem to evaluate the line integral. y2 dx + ху dy C: boundary of the region lying…

A: Use green s theorem

Q: ]]] xyz dV if S is the region bounded above by x² + y² +2²= 16 and below the S cone 2 = √² + y² with…

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Q: Use Green's Theorem to evaluate the line integral. √y² dx + xy dy C: boundary of the region lying…

A: We have to evaluate the integral.

Q: Sketch the region R of integration and switch the order of integration. x2 f(x, y) dy dx 16

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Q: Let R be the region in the half plane x 2 0 bounded by the curves y = -5x +5 y = x - 1 x = 0 Compute…

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Q: Use Green's Theorem to evaluate the line integral. | 2xy dx + (x + y) dy C: boundary of the region…

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Q: Let A be the region bounded by y = 8x 3(1−x) and the x-axis between x= 0 and x= 1. Find the solid…

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Q: ∫c ( e^(y^2) +x)dy + (y^2 +arctan (sqrtx))dx where C is the region bounded by y = -x, y=-1 and x=2

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Q: Use Green's Theorem to evaluate the line integral. J. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 18. The integral that represents the volume of the solid obtained by rotating the region bounded by…

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Q: The region between the graphs of x=y^2 and x=3y is rotated around the line y=3.The volume of the…

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Q: The volume of the solid generated by revolving the region between the parabola x =y²+1 and the line…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: Line integration by using Greens theorem

Q: You are rotating the region bounded by y 2 = x, y = 1, and x = 0 about the line x = 1. Set up the…

A: The graph formed After rotation it will look like Take the elementary element as

Q: 3. Use the change of variables: u = x + y , v = y – 2x to evaluate the integral: Cx+y(y-2x)²dydx .…

A: Given: The change of variables: u=x+y and v=y-2x We have to evaluate the integral: ∫01∫01-xx+y y-2x2…

Q: Let R be the region in the half plane x 20 bounded by the curves y = -5x + 5 y = x2 – 1 x = 0…

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Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

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Q: Evaluate 2x dV Over the region E bounded by the parabolic cylinders y = x2 and x = y² and the planes…

A: Consider the parabolic cylinders y=x2 and x=y2 and the planes z=0 and z=x+y

Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: Verify that [y- 2x )dx +(2xy +x²)dy = dA where C is the boundary of a region %3D R R defined by y=0,…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: First I have changed the line integral into double integral with the help of Green's theorem and…

Q: 3. Find the volume of the solid under the plane 3x+ 2y – z = 0 over the shaded region between the…

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Q: Evaluate (x+ y)dx+ xy dy. where Cis the positively-oriented boundary of the region bounded by the…

A: We have to evaluate the integral                                                  ∮Cx+ydx+xydy Where…

Q: 2. Find the volume of the solid obtained whe the region bounded by the curve y = sin(x), 0 < x < ™,…

A: For the given information

Q: Evaluate the line integral [2y'dx+(x* +6y°x)dy where C is the boundary of the R region shown below…

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Q: Evaluate 2r+y) dV _where V is closed region bounded by the cylinder z=4x and the planes x = 0, y = 0…

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Q: Find the absolute extrema of f(x,y) = 3x² + xy on the region bounded by the parabola y = x² and the…

A: differentiate the function partially with respect to x and y fx=6x+yfy=x Put the obtained function…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.