A force of 10N is required to hold a spring that has been stretched from its natural length of 1 cm to a length of 3 cm. How much work is done in stretching the spring from 10 cm to 12 cm? Please, record your final answer in the Canvas answer box.

A geographical feature is modeled by the function f(x) = x3  

4.  Find the volume of the solid below by using any of the techniques in chapter 6. Set up an integral and use a calculator to evaluate it (Do not evaluate by hand!). Document your work clearly.   Please, record your final answer in the Canvas answer box.

Find the volume of the solid obtained by rotating the region bounded by y = x – x2 and y = 0 about the line x = -1. Use the shell method. Please, record your final answer in the answer box. Please, record your final answer in the Canvas answer box.     

Find the volume of the solid obtained by rotating the region bounded by the curves y = x3  and y= for x ≥ 0 about the y-axis. Use the DISK/WASHER method. Please, record your final answer in the answer box.

5.  Use the DISK method to find the volume of the solid obtained by rotating the region under the curve y = from x = 1 to x = 3 about the x-axis.             Please, record your final answer in the Canvas answer box.    

6.  Use the SHELL method to find the volume of the solid obtained by rotating the region in blue bounded by the curves y = 7x -x2 and y =x about the y-axis.                 Please, record your final answer in the answer box.    

3. Find an expression that describes the area in blue on the graph below between the two curves f and g.        DO NOT record any answer in the Canvas answer box.  

Arguments to methods always appear within     

A patient is given a large dose of pain medication and their breathing becomes slow and shallow.  What acid/base imbalance is likely to occur?