Prove explicitly that 1 00 e-otx1 dx = 2 roo e-otx1 dx -oo Jo by b. reaking the integral from -oo to oo into one from -oo to 0 and another from 0 to oo. Now let z = -x in the first integral and z = x in the second to prove the above relation.

You’re repairing a large rectangular aquarium. the final step is to cover the glass with a protective film. the front and back of the aquarium measure 4 meters by 2 meters, and the sides of the aquarium measure 3 meters by 2 meters. how many square meters of protective film do you need? ( )

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

Antonio made a scale model of a building. the model's scale is 1 inch to 235 feet and its height is 3.5 inches. what is the exact height of the actual building? enter your answer in the box.