Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Answer:
10
Step-by-step explanation:
Since line 1 // line 2,
11/22=5/x [Theorem]
1/2=5/x
x=10
Answer:
The answer is 3n
Step-by-step explanation:
Since the expression has two numbers with the same variable, they are able to be combined.
We will subtract 2n from 5n, so 5n - 2n.
This results us with <u>3n</u>, since 5 - 2 equals 3.
#teamtrees #WAP (Water And Plant)
So, Using your conversion chart(if you have one) you'd see 1 liter makes 1000 milliliters. So, if you have half of a liter(0.5), then you have 500 milliliters. If he adds 300 more, then you get 800 milliliters total, which is also equal to 0.8 liters. Hope this helps!
Answer:
Kerri
calculate z scores z= (x - xbar)/stdev
Kerri = 1.7
Cade = .7
Vincent = 1
Step-by-step explanation:
