8r^6s^3 - 9r^5s^4 + 3r^4s^5 - (2r^4s^5 - 5r^3s^6 - 4r^5s^4) =
8r^6s^3 - 9r^5s^4 + 3r^4s^5 - 2r^4s^5 + 5r^3s^6 + 4r^5s^4 =
8r^6s^3 -5r^5s^4 + r^4s^5 + 5r^3s^6 <==
Answer:
B
Step-by-step explanation:
using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)
also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing
Answer:
Scalene and acute
Step-by-step explanation:
Consider a circle with radius 
centered at some point 
on the 
-axis. This circle has equation
Revolve the region bounded by this circle across the 
-axis to get a torus. Using the shell method, the volume of the resulting torus is
where 
.
So the volume is
Substitute
and the integral becomes
Notice that 
is an odd function, so the integral over ![\left[-\frac\pi2,\frac\pi2\right]](https://tex.z-dn.net/?f=%5Cleft%5B-%5Cfrac%5Cpi2%2C%5Cfrac%5Cpi2%5Cright%5D)
is 0. This leaves us with
Write
so the volume is
Answer:
(a)
Step-by-step explanation:
The tangent and the normal at point P are perpendicular.
Given
= 3, then
Given the gradient m of the tangent then the gradient of a line perpendicular to it is
= - 
= - 
→ (a)
