It descended 240 feet 12*20 is 240
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.
Yes
This is the Ruhr answe iDisk fndn dds d d d drop
12(3x + 5y) |use distributive property: a(b + c) = ab + ac
= (12)(3x) + (12)(5y) = 36x + 60y
If the sister is 20 now, the brother is 10. do you understand?