Suppose f(x) and g(x) are differentiable functions with the known values:
x: 0,1,2,3,4
f(x): 1,2,1,0,3
g(x): 5,3,4,2,1
f'(x): 0,2,3,6,1
g'(x): 2,3,4,4,5
( note this is suppose to be a table so the each number is in a row vertically)

showing calculations, evaluate the following:
a). d/dx [f(x)/x^2] when x=2
b). d/dx [g(f(x))] when x=3
c). d/dx [sqrt g(x)-1] when x=0

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

The table below lists recommended amounts of food to order for 10 party guests. how much of each food item should nathan and amanda order for a graduation party with 55 guests? use the table to answer. item amount fried chicken 16 pieces lasagna 7 pounds deli meats 1.8 pounds sliced cheese 1 and two fifths pounds bakery buns 1 dozen potato salad 2 pounds

Which best explains why this triangle is or is not a right triangle ?