Answer:
a) h'(t)= (6cos3t,-9sin3t,3![\sqrt[]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B5%7D)
cos3t)
b) t=0.93994736+πn/3
c) Magnitude of h(t) is 3 which is a constant, so h(t) lies on a sphere
Step-by-step explanation:
They are going 279 miles at a rate of 62 mph.
time = distance / speed
time = 279/62
time = 4.5 hrs...or (4 hrs 30 minutes)
plus they plan on a 45 minute lunch...
4 hrs and 30 minutes + 45 minutes = 4 hrs and 75 minutes =
5 hrs 15 minutes. So they need 5 hrs and 15 minutes to get there...and they want to be there by 3.
So they will have to leave at : 9:45 <==
Answer:
Probably 128 km/h, but maybe 98.5 km/h. See below.
Step-by-step explanation:
What does "at the same time" mean?
If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 1.25 hour = 2.5 hour
average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h
If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 2 hour = 3.25 hour
average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h
Answer:
first: 1/3
second: 1
third: 1/2
Step-by-step explanation:
Answer:
The numbers in the sequence are perfect squares
next number is 9
