Table of Contents
What is area of parabola?
Now back to our problem: the area A under the parabola: area. A = the integral of Y dX, for X changing from -R to R. A = -R∫RY dX. See this by using vertical slices of the area below the arch.
What is the volume of the tetrahedron?
Tetrahedron Formulas
| Volume | Volume=s36√2 Volume = s 3 6 2 |
|---|---|
| Total Surface Area | TSA=√3s2 TSA = 3 s 2 |
| Area of one face | Area of a face =√34s2 Area of a face = 3 4 s 2 |
| Slant Height ‘l’ of a Tetrahedron | Slant height=√32s Slant height = 3 2 s |
| Altitude ‘h’ of a Tetrahedron | Altitude=s√63 Altitude = s 6 3 |
What is the area of a hyperbola?
ln a = I ( 1 , a ) . In fact in some treatments of calculus, the function is defined precisely this way — as the area under y = 1 x from to . So a large part of the calculus that deals with logarithm and exponential functions ultimately hinges on the remarkable hyperbola y = 1 / x and its geometrical properties!
What is the formula to find the volume for a paraboloid?
If you know the height and radius of a paraboloid, you can compute its volume and surface area with simple geometry formulas. If the height of a paraboloid is denoted by h and the radius by r, then the volume is given by the equation V = (π/2)hr²
How to write an equation for a parabola?
Write the equation of parabola in standard form. Add 16 to each side. (y – 4)2 = (x – 3) is in the form of (y – k)2 = 4a (x – h). So, the parabola opens up and symmetric about x-axis with vertex at (h, k) = (3, 4).
Which is the best way to parametrize a parabola?
Here we shall use disk method to find volume of paraboloid as solid of revolution. A paraboloid is a solid of revolution generated by rotating area under a parabola about its axis. We can take any parabola that may be symmetric about x-axis, y-axis or any other line, inclined at certain angle.
How to find the vertex of a parabola?
Find the vertex, focus, directrix, latus rectum of the following parabola : x2 = -16y is in the form of x2 = -4ay. So, the given parabola opens down and symmetric about y-axis with vertex at (0, 0).