Find the particular solution. dy = (7/x - x) dx; y(1) = 2
y = 7 ln(|x|) - x^2/2 - 7/2
Find the general solution of the differential equation. Then use a graphing utility to find the particular solution that passes through the given point (x, y).
dy/dx = 7/x , (1,15)
y =?

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,