Answer:
12-9x is answer ........ . . .
Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.
case 1.
df/dx = -3y
case 2
df/dy = 5y^4 - 3x
s(t) = 65+24sin(0.3t)
where t is measured in hours since 5:00
a.m
3-hour period from 7:00 a.m. to 10:00 am
5 am to 7 am = 2 hours
5 am to 10 am = 5 hours
To find the number of tons we take integral of 2 to 5 of s(t)
∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))
∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c
Now we plug in the bounds 2 and 5
∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268
255.268 tons of sand are added to the beach over the 3-hour period
Answer:
0.05
Step-by-step explanation:
checked via khan academy
