The answer would be 1/6 of cake.
Hope this helps
A(b-c)=d
Ab-Ac=d
-Ab -Ab from both sides
-Ac=d-Ab
divide -A
c=d-Ab over -A and the -A's should cancel so it should be c=db <span />
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:
1st statement is true
2nd is false (amplitude is (max - min) ÷ 2 so (5.8 - 4.6) ÷ 2 = 0.6)
3rd is true
4th is false (frequency is the reciprocal of period, they can't be the same)
The answer is $56 because 75% of $32 is 24 so you add 24 to 32.
