The variables x and y satisfy the differential equation dy/dx= (y-1)/(x+1)(x+3) It is given that y = 2 when x = 0. (i) Solve the differential equation, obtaining y in terms of x.
(ii) Explain why x can only take values that are less than 1

Suppose that a households monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, hcf). when graphed, the function gives a line with slope of 1.65. if the monthly cost for 13 hcf is $46.10 what is the monthly cost for 19 hcf?

What is always true about a positive integer raised to a negative odd power?

What is the radius of the cone in the diagram? round your answer to the nearest whole number