The approximate value of the integral (see the integral in the images) is: A) −2.2726 B) −4.5452 C) 4.5452 D) 2.2726

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A: Consider the given integral. ∮C3x2-ydx+4xdy Here C is the circle x2+y2=1 The Green's theorem can be…

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Q: 18. Find the surface area of the sphere with radlus 5 by dou- bling the surface area of (x, y)…

A: Given: f(x,y)=25-x2-y2 is the surface bounded by the circle x2+y2=25 where radius, r=5

Q: Set up, but do not evaluate, an integral for the length of the curve. y = xe, osxS 8 dx Jo

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Q: (1) Find the area of the surface of the portion of the cone 2 +y² between the cylinder y? = x and…

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A: The given statement is not true.

Q: Use Green's Theorem to evaluate the integral (x² – y)dx + 4.xdy where C is the circle x? + y? = 25…

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Q: 9. Using Stoke's Theorem Evaluate [(2x – y)dx – yz dy – y zdz) where c is the circle x +y =1,…

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Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

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Q: 2. A CIRCLE IS TANGENT TO THE CINCLES x7 y? = 4 x*+ y? = 12Y+ 64 2 F IND THE LOcuS OF IT3 CENTEN AND…

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Q: Find the surface area generated by rotating the semi-circle x = (49 – y² be- tween -7 < y < 7 about…

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Q: e? dz, calculate give integral. When C is a circle z= 2 (z – 1)

A: Introduction :

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Q: 5 st36. about x-axis is The area of the surface obtained by rotating the curve * = 3t, y = 48 – 4t O…

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Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 1+…

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Q: For the conical surface 0 = 30°,0 <0< 21,0 <r< 2, the lateral surface area is what?

A: Sol

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Q: The area of the surface obtained by rotating the curve * = 3t, y = 65 – 4t 5 st36. about x -axis is…

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Q: y = 2x C = ƏD D y = x?

A: We have to evaluate the integral ∫Cx-ydx+3x+tan-1ydy. Where C is the curve in the given figure.

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Q: Given the area bounded by the parabola x– 4x + 12y - 20 = 0, the x-axis and the lines x = 1 and x =…

A: ∫ (y^2)dx is the formula for moment of inertia