Well, by definition, the tangent vector is the vector that is the result of differentiating every component of the function. Hence, the tangent vector is T=(3,-5sint,5cost). This has a magnitude of
which yields |r|=
(by using the known trigonometric formula
that holds for all t). Thus, the unit tangent vector t is given by: t=
. Now, to find a normal unit vector, we just need to find a normal vector N and scale it appropriately. To find a normal unit vector, we can just find vector that satisfies V*T=0 (dot product of vectors). By inspection, we see that the vector N=(0, cost, sint) satisfies this requirement and that it is also a unit vector (due to the aforementioned trigonometric identity). Hence, a normal unit vector to our vector function is N.
Answer:
Step-by-step explanation:
The word "quotient" means to divide, so the "quotient of 3 and 8" looks like this:
If we add that quotient to 10, we have
The answer is <span>C.) 2
The general form of formula is
y = a </span><span>• r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time
Let's compare:
</span>y = a • r^x
<span>y = 280 • 2^x
Since r = 2, the growth rate is C.) 2</span>