# calculus

Let C be the curve which is the intersection of the half-cone S1 = {(x,y,z)|z=sqrt(x^2 + y^2} and the paraboloid S2 = {(x,y,z)|2z=3-x^2-y^2}. Find C.

a)Make a 3-D sketch to show S1, S2, and C

b) Show that at each point on C the normals to these two surfaces are perpendicular to each other.

1. 👍 0
2. 👎 0
3. 👁 56

## Similar Questions

1. ### calc

Let C be the curve which is the intersection of the half-cone S1 = {(x,y,z)|z=sqrt(x^2 + y^2} and the paraboloid S2 = {(x,y,z)|2z=3-x^2-y^2}. Find C. a)Make a 3-D sketch to show S1, S2, and C b) Show that at each point on C the

asked by mark on October 5, 2008
2. ### Calc

Find an expression for the function whose graph is the given curve. The top half of the circle x^2 + (y-2)^2 = 4 My final answer is y= 2 +/- sqrt of x-4 However, I circled the positive sign because that's the top half. Is this

asked by Chelsea on September 15, 2010
3. ### Calculus 3

If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.

asked by Lamar on February 15, 2014
4. ### Calculus

I'm having trouble with the following problem: Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve

asked by Jenna on September 22, 2009
5. ### algebra

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. Which expresses the ratio of the volume of the candle to its surface area(including the base)? For cone,

asked by dirtrider on January 23, 2013
6. ### Math

An inverted right cone, half filled with water. I've only the volume of the entire cone to go from. So the volume of the cone = 1/3 the base area * height I've been told by a friend that the base area of a half scale cone = 1/4 of

asked by Eef on July 15, 2014
7. ### CALC HELP ASAP

suppose you need to construct a cone who surface area is 100 sq in. (A= pi*r*(sqrt( r^2+h^2), this is the amount of carboard needed to construct the cone. find values of r and h that will maximize the volume of the cone (V=

asked by CM on December 17, 2010
8. ### math

A paper cone has a base diameter of 8cm and a height of 3cm a. Calculate the volume of the cone in term of pie b. Calculate the curve surface area of the cone

asked by Barry on October 9, 2016
9. ### Math:)

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates

asked by girly girl on March 22, 2018
10. ### Statistics

I have a problem I need some help on. I have answered parts. Any guidance would be appreciated. K For many years the numbers of accidents per week at a hazardous intersection have been studied. The number of accidents per week

asked by Kayse on August 4, 2007

More Similar Questions