A city averages 14 hours of daylight in June, 10 in December, and 12 in both March and September. Assume over a period of one year. Write a function for n, the number of hours of daylight, as both a sine and a cosine function of t. Let t be in months and t=0 correspond to the month of January. What is the average amount of daylight hours in August?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Rena is building a 1: 180 scale model of a real castle. her model has a rectangular base that is 3 feet wide and 4 feet long what is the area of the base of the actual castle in square feet

Define multiplicative inverse. give an example of a number and its multiplicative inverse.