Answer:
- 3/20, with the assumptions below.
Explanation:
The question seems incomplete.
In order to show you the procedure, I make some assumptions.
Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.
The operation is:
Convert the whole number 5 into fraction using 1 as denominator:
Transform the division into multiplication changing the divisor into its reciprocal:
Multiply numerator with numerator and denominator with denominator:
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
Answer:
16(4b - c)
Explanation:
16 x 4b = 64b
16 x c = 16c
Answer:
$125
Step-by-step explanation:
Given:
deposit, P= $500
rate,i = 5%
time,t= 5 years
I=P*i*t
where P is principal amount
i is interest rate
t is time
I is simple interest
Putting values we get:
I=500*0.05*5
= 125 !
