The cone equation gives

which means that the intersection of the cone and sphere occurs at

i.e. along the vertical cylinder of radius

when

.
We can parameterize the spherical cap in spherical coordinates by

where

and

, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is

. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

Now the surface area of the cap is given by the surface integral,




Answer:
y-values of sampled wave:
0, 5, 5, -3, -5, -3, 2, 0, 0, -1, -2, 1, 1, -1, -1, -2, 2, 3, -1
Step-by-step explanation:
My teacher told me to put a dot on very cross or intersection that the line is on.
Answer: The center is 0,4
Step-by-step explanation:
Use this form to determine the center and radius of the circle:
(
x-h)^2+(y-k)^2=r^2
Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin:
r=8
h=0
k=4
The center of the cirle is found at (h,k): (0,4)
The radius is 8
Opposite conjugate.
(-1/3) is (3/1)
Answer:
x^3 +3x^2 - 5x - 4
Step-by-step explanation:
Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!