The area of the surface generated by rotating the curve y = 2 + e*, where 1 < x < 2, about the x-axis, is given by Select one: S 27(2 + e-*)V1 + e-2× dx O S 27(2 + e-*)V2 - e-2* dx None of the others O L 1(1 + e-*)V1 +e-2* dx O L 27(2 + e-*)V1 + e-2x dx

Q: What is the shortest distance from the curve x^2+xy+y^2=16 to the origin?

A:

Q: et C be the curve of the intersection of the two surfaces a² +} = z and 4x2 +y} +? =9. nd let L be…

A:

Q: A particle travels in the xy -plane with a path defined by the parametric equations x(t) = t - 3 and…

A:

Q: Q4\ Graph the curve r=1-cosx in Cartesion xy - plane

A:

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: where does this concave up and down?

A: A graph is concave up if f''x&gt;0 and concave down if f''x&lt;0. When f''x&gt;0, it means…

Q: Find the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

A: We have to find the the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

Q: Find the tangent planes to the surfaces given by the equations z = 7x^2 - 12x - 5y^2 and xyz^2 = 2…

A: NOTE: Refresh your page if you can't see any equations. . the first surface is so we can write…

Q: Find a vector equation for the curve of intersection between the surfaces y^2-x^2=9 and 2x-3y-z=12.

A: Introduction: We can determine the vector equation of the curve formed by the intersection of two…

Q: /Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A: Given eq. of surface z=9-x2+y2 at the point 1,2,4             (1)

Q: 7. (~Ch16 Review #6) Compute y3 dx + x² dy where C is the arc of the parabola x = 1- y² from (0, –…

A: In this question we need to find the given line integral .

Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

A:

Q: Find dy/dx: y = In [(1 + t^2)/(1 - t^2)]

A:

Q: (x+ 4)² + (y – 4)² = 4 Center Radius

A: Compare given equation with (x-h)2 + (y-k)2 = r2

Q: Find a parametric description for the curve y=4-x^2 from (-2, 0) to (2, 0) such that t=0 corresponds…

A: Given: The curve y=4-x2 from (-2,0) to (2,0)

Q: Q1.6 Find the point on the surface given by the equation x^2 + 5y^2 + 10z^2 = 18016 that has a…

A:

Q: 3/Find the equation for the tangent plane and normal line to the surface Z=9-x² + y² at the point…

A:

Q: Let C be the closed curve consisting of line segments from (0,0,0) to (2,0, 2), then to (2,2, 2),…

A: ∮cF.dr=Line integral of vector point function taken along a closed curve. ∬ccurl F .n⏞ds=Surface…

Q: Which surface below is an elliptic paraboloid? O x^2 + y^2/4 - z^2 = 1 O z = -sqrt(x^2 + y^2) z =…

A:

Q: What is the shortest distance from the surface xy+3x+z^2=12 to the origin?

A: Let (x ,y, z) any point on surface. We have to minimize function f(x,y,z) = x2 + y2 + z2 under…

Q: Calculate only the (complete) extensions of the curve: x^2 y + 2xy - x^2 + y = 0.

A: We have given the curve:The complete extension of the curve is the set of all points  that satisfy…