Let y1=(1-cos(/sin(x).^2 and y2=1./(1+cos(x)) for x=logspace(0,-12,13) . make a table of the values of x, y1,y2 as in sauer, section 0.4. plot y1-0.5 and y2-0.5 vs x on a loglog scale and explain what you see, including all slopes o bserved. (hint: you should be referring to a taylor series.

Match each function with its rate of growth or decay

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.