write about an issue that solved by district court or High Court or Supreme Court
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Answer:
Sometimes it is useful to compute the length of a curve in space; for example, if the curve represents the path of a moving object, the length of the curve between two points may be the distance traveled by the object between two times.
Recall that if the curve is given by the vector function r then the vector Δr=r(t+Δt)−r(t) points from one position on the curve to another, as depicted in figure 13.2.1. If the points are close together, the length of Δr is close to the length of the curve between the two points. If we add up the lengths of many such tiny vectors, placed head to tail along a segment of the curve, we get an approximation to the length of the curve over that segment. In the limit, as usual, this sum turns into an integral that computes precisely the length of the curve. First, note that
|Δr|=|Δr|ΔtΔt≈|r′(t)|Δt,
when Δt is small. Then the length of the curve between r(a) and r(b) is
Answer:
The United States Supreme Court is a federal court, meaning in part that it can hear cases prosecuted by the U.S. government. (The Court also decides civil cases.) The Court can also hear just about any kind of state-court case, as long as it involves federal law, including the Constitution Typically, the Court hears cases that have been decided in either an appropriate U.S. Court of Appeals or the highest Court in a given state (if the state court decided a Constitutional issue). The Supreme Court has its own set of rules. According to these rules, four of the nine Justices must vote to accept a case. People or entities wishing to appeal the ruling of a lower court file a “petition for writ of certiorari” with the Supreme Court. If at least four justices vote to do so, the writ of certiorari will be granted and the Supreme Court will hear the case. The Court of Appeal does not hear witnesses or consider new evidence. The parties explain their positions to the Court of Appeal by filing briefs.