Find the average value of the function on the given interval. Show all steps and do not use banned calculators for full credit. Use 3 decimal places.

A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a length of 15 cm. How much work is done in stretching the spring from 12 cm to 20 cm?

Determine whether the series is convergent or divergent using the indicated test. State and check the conditions of the test before applying it. a. Integral Test

Within the eye, blood vessels would be found within sclera.

Find a power series representation for the function and determine the radius of convergence.

Sally and Matteo enter into a contract in which Matteo, a professional painter, agrees to paint a picture of a ship and Sally promises to pay $100 to Matteo for the painting. Sally pays Matteo $100 but he delegates the painting job to his next door neighbor. Is Matteo’s delegation legally valid?

Find the area of the region bounded by the curves: Show: graph, points of intersection and all steps for full credit. No approximations – use fractions to state the final answer. Do not use banned calculators.

The ingestion of folic acid during pregnancy has been shown to increase the risk of spina bifida.

In January a balloon is inflated to 2.00 L indoors where the temperature is 25°C.  If the balloon is then taken outdoors where the temperature is –20°C, what will happen to the balloon?  

________ is any tenant conduct that causes permanent and substantial injury to the landlord’s property.