Answer:
it's liniear
Step-by-step explanation:
since it is going up by the same amount every time
Answer:
32/10
Step-by-step explanation:
simplify them
4/10= 2/5= 0.4 (as a decimal)
32/10= 3.2 (as a decimal)
3.2>0.4
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
He will need about 3.14 or pi since circumference= pi*d
Answer:

Step-by-step explanation:
we know that
The lateral area of the triangular prism is equal to the area of its three rectangular faces
so

