Verify that y1(t) = 1 and y2(t) = t1/2 are solutions of the differential equation yy + ( y)2 = 0 for t > 0. Then show that y = c1 + c2t1/2 is not, in general, a solution of this equation. Explain why this result does not contradict Theorem 3.2.2.

Solve the equation x/4 - 5= -8 -27 -12 -7 12

The volume of a cone is 37x3 cubic units and its height is x units. which expression represents the radius of the cone's base, in units? 1 s o 3x o 6x obx 93x2

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?