Let

denote the particle's position. Then its velocity is given by


The speed is then given by the absolute value/magnitude/norm of the velocity function,
24 boxes
6 cookies each
How many dozen cookies do you need
Because theres 24 boxes and there's 6 cookies in each you multiply 6 by 24. That gives you 144. Then because it's asking for dozen (12), you divide 144 by 12 which gives you 12.
Take the deritive
y'=-3sinx
find whre it equals 0
it equals 0 at -pi, 0, pi, etc
find whre it changes from negative to positive
at -0.5pi, the derivitive is positive
at 0.5pi, the deritivie is negative
changes from positive to negative at x=0
that means that the max values are at pi and -pi in 2pi intervals
-pi, pi, 3pi, 5pi,etc
the min y value is -3
so the minimum(s) are/is at (2aπ,-3) where 'a' is an integer
Answer:
50.24
Step-by-step explanation:
1/4x3.14xr^2
r=16 because of the length
90/360= 1/4
so
1/4x3.14x16^2/4
=50.24
4 is our denominator because of the denominator on the fraction