Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
52 ten cent coins, and you have 36 five cent coins.
Their sum is 700 cents which is equal to 7 dollars.
Answer:
449.25 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
For maximum profit,
Put dy/dx = 0So,
Now put x = 25.5 in equation (1).
so, the required answer is 449.25 units.
14. Fourteen is the answer
