A. Evaluate and sketch the line integral :1 = f yx dx + (2X – Y)dy around the region bounded by curves (y=x?), (x=y?) by using the of Green's %3D Theorem.

Q: The length of the curve y = 3 - 4Vx for 0 < x < 3 is calculated by the integral: %3D Select one: 3 O…

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Q: Find the function "y" that makes the integral stationary V1+y²y2

A: Please check step 2 for solution

Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: hat is the area of the region bounded by the line x = 4 and the curve x³ = x² + 2xy - y² = 0. ht:…

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Q: 1 dA, where R is the union of both regions bounded by the functions y = sin(3x) x2 + y2 + 4 and y =…

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Q: Find the value of "k" for which the line integral 1+ky? 1+ kx? dy taken č [a+ xy)? (1+xy)? (1+ xy)?…

A: We will find out the required value.

Q: [[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two…

A: The line integral ∫CMdx+Ndy involves the integration over a specific path. In this case, the line…

Q: Find : ( 39 - Sincm) dx +(2x*) dy when C is the boundary of the limited area by curvess y= e* and in…

A: Given that I=∫c3y-sin x dx+2x2 dy                                   ……(1)   Boundary is given as…

Q: d the area of the region bounded by the curves: y = cos(nx) and y = -1 + 4x²

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Q: (c) . sin (92? +4y?) dA D where D is the region in the first quadrant bounded by the ellipse 9a?…

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Q: 3) Find the area of the surface formed by revolving the graph f(x) = ;x³ about the x-axis over the…

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Q: Compute 6xy da dy, where D is bounded by the curves y = 4 – x2 and y = 2x + 4.

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Q: Calculate the integral of x(1+ 3x)° dx .

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Q: B) Find the area between the parabolas x = y² - 1 and x = 2y² - 2

A: Topic = Area

Q: 20 + 7)* Evaluate the integral dæ + 7)* * by making the appropriate substitution: u = dx (2x + 7)4

A: Let's find integration of given function.

Q: sketch, reverse and evaluate the integral dy dx

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Q: The equation, d(t) = 255t + 5654 represents the tuition, d dollars, at a college for the year Find…

A: I have explained everything with in the solution .please go through that.

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: I need the next 3 parts pls!

A: Consider the given function,We have to find critical points.Find where is equal to zero or…