√ y² dx + x² dy = √₂ R C for the given path. C: boundary of the region I y² dx + x² dy 2 =

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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Q: : Find the area of the region in the first quadrant that is bounded above by y x and below by the…

A: SOLUTION-

Q: 4. Computer²ydA, where R is the region bounded by the circles z² + y² = 1 and 2² - 2x + y² = 0 and…

A: Solution :-

Q: 4. Let D be the region in the plane in between the two circles x² + y² = 1 and x² + y² = 4, and to…

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Q: Find the total area of the region in the second and third quadrant bounded/enclosed by the graphs of…

A: solution:−f(x)=x3+6x2+9x+2 g(x)=x+2 g(x) cross f(x) at x=−4, −2 and 0as shown in graph

Q: y =z² y = r³ - 12r Which of the following gives the shaded area? ........

A: If we have two curves y= f(x) and y=g(x)  such that f(x)>g(x) then the area between them bounded…

Q: 2 Evaluate • 2yr² + 9y³ d.A where D is the region bounded by y +9y3dA = x and y = 2√√x. 3 D

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Q: 21. Let D denote the region between the parabola y = 8-² and the line y = x + 2. Compute ff 2x + y…

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Q: f (x) = x + 3, g(x) = x² – 4; a = -2, b= 1 |

A: f(x)=x+3,  g(x)=x2-4 a=-2, b=1

Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: the extremum of f(x,y) = 7x²y² +5y² 9x?. +

A: Given that: f(x, y)=7x2y2+5y2+9x2

Q: Let R be the region in the first quadrant bounded by the x- and y-axes and the line x + y = 13.…

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Q: Evaluate 5x dV for the region W: x² + y² ≤z≤ 25. (Use symbolic notation and fractions where needed.)…

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Q: Consider the region between the functions y = f (x)=Vx and y=g(x)=x This region is shown in the…

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Q: Evaluate (y) dA R R is the region in the 1st quadrant bounded by the x axis, y axis, and the graphs…

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Q: Find the area of the region bounded by the curves x²y = 2, x²y = 3, y = x and y = 2x.

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Q: Consider the general 2 × 2 linear system. ax + by = u сх + dy = V Assume that a unique solution…

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Q: ·1² Evaluate 2√4-1² Jy=0 4x² + y² dy dx.

A: ∫x=02∫y=024-x24x2+y2dydx Note: There are two separate question and according to the guidelines we…

Q: Find // 4x² y dA, where R is a region enclosed by 3x – 2y = 0,3x – 2y = 1, x + 3y = 0, and x + 3y =…

A: If we want to integrate f(x,y) over the region R. Under the transformation x=g(u,v), y=h(u,v) the…

Q: SS (3X-5) dA; R is R Eval & Reverse ? Triangular Region bounded b y=x+5 Y=-X+7 X=10

A: