Find the area of the surface generated by -y + e revolving the curve x = 2 Osys In 7 about the y-axis. The area, S, of the surface is given by S = (Type an exact answer, using as needed.) in the interval In 7 X= e³ + e-y 2

Q: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: please solve

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Q: Integrate counterclockwise dz, C the circle with z2 + 12z + 35 center –5 and radius 2. dz z2 + 12z +…

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Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: (r – 1)² = –4(y – 1) y 9a² + 16(y – 2)² = 144 3 -2 1 0 2 5 -2 -3

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Q: What is the area of the conic (x + 3) + y 25

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Q: Given the expression x* – 3x + 7 = y³. on the interval [3,5], determine the surface of revolution if…

A: Given; x4-3x+7=y3 on the interval [3,5]

Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: 5. Consider the two curves y = x° - 3x + 20x + 88x² + 71x – 74 and y = 2a+ 50x – 22x + 42.x + 31. |…

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Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: Verify Stokes' theorem for the helicoid (1, 0) = First, compute the surface integral: = (VF)…

A: Given surface is helicoid whose vector parametric equation is \)" data-mce-style="cursor:…

Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Q: 5. Find the area of the surface formed by revolving the graph of y = √√x + 2 from x = 1 to x = 8…

A: Area surface generated by rotating a curve y= f(x)  in interval [a,b]  about x- axis  A=∫ab2πyds…

Q: Find . F.dr when F(x,y) = (2x,3y²) and C is only the first quadrant part of a circle of radius 3…

A: Let C be a smooth curve and r→t=xti^+ytj^+ztk^ be the position vector of any point x,y,z on C.…

Q: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

Q: . Find the area of the surface generated when the curve y = x* 1 + ,on [1,2] is rotated about the…

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Q: 6. Show that the area of the triangle intercepted from the co ordinate axes by the tangent to the…

A: We have to show that the area of the triangle intercepted from the coordinate axes by the tangent to…

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: ). Explain how we get the Cylinder by equivalent relation.

A: Please check the next step for details

Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² +…

A: Here we have to find the area of the region bounded by the two parabolas.