Answer:
Speed in kilometer/hour = 6 kilometer / hour
Explanation:
Given;
Time taken to cover distance = 15 minute = 15 /60 = 0.25 hour
Distance of school = 1.5 kilometer
Find:
Speed in kilometer/hour
Computation:
Speed in kilometer/hour = Distance / Time
Speed in kilometer/hour = Distance of school / Time taken to cover distance
Speed in kilometer/hour = 1.5 / 0.25
Speed in kilometer/hour = 6 kilometer / hour
The procedure that makes stars sparkle is the same one that we have outfit for utilization as a weapon: atomic combination.
Stars begin as gigantic districts of gas, for the most part hydrogen. This gas will begin to contract, and it warms up. As it gets, its temperature rises. At the point when the warmth gets sufficiently high, it causes the individual hydrogen iotas to impact and consolidate into helium with the arrival of vitality. This is called fusion.
Answer:
Explanation:
The detailed steps and appropriate differentiation and integration is as shown in the attachment.
Starting from the equation for the profile is u/U = 3/2(y/δ) – 1/2(y/δ)3
<span>Suppose the pipe goes underwater directly from the resort to point P, which is x miles away from the point on the shoreline that's closest to the resort.
By Pythagoras, the distance from the resort to P is: sqrt(x^2 + 3^2) = sqrt(x^2 + 9)
Suppose that it costs 1 unit of money per mile to lay pipe on land, so therefore it costs 1.5 units of money to lay pipe underwater. So the cost of the pipe above is: 1.5*sqrt(x^2 + 9)
So the distance from P to the fresh water source is 10 - x, so the cost of laying that pipe is 10 - x.
Total cost of pipe: C = 1.5*sqrt(x^2 + 9) + 10 - x
dC/dx = ((1.5x) / sqrt(x^2 + 9)) - 1
To minimize C, set the derivative to zero:
((1.5x) / sqrt(x^2 + 9)) - 1 = 0
(1.5x) / sqrt(x^2 + 9) = 1
1.5x = sqrt(x^2 + 9)
(1.5x)^2 = x^2 + 9
2.25x^2 = x^2 + 9
2.25x^2 - x^2 = 9
1.25x^2 = 9
x^2 = 9 / 1.25
x = sqrt(9/1.25)
x = 2.683</span>
