Consider the function δ(x) = c() ( 1 − < x < , 0 otherwise. (4) find compute lim→0 z 1 −1 dxδ0 (x)f(x) (5) for an arbitrary smooth function f(x) by expanding f(x) in a series expansion in x. do the integral two ways: by evaluating the derivative of δ(x), and using integration by parts. take the limit → 0 after doing the integral.

Atriangular bandana has an area of 46 square inches. the height of the triangle is 5 3 4 inches. enter and solve an equation to find the length of the base of the triangle. use b to represent the length of the base.

Ascientist wants to use a model to present the results of his detailed scientific investigation. why would a model be useful? a )because the model makes the concepts easier to understand b) because the model is easy to put together and to use c) because the model prevents other scientists from asking questions d) because the model requires the audience to pay full attention to it i don't know what to choose because between a and d a is much more likely than d because it only wants to get the attention of the audience. i'm confuse.

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?