A light is placed on the ground at a distance of 31 feet from the point at which a javelin will be launched into the air. If the javelin travels straight up at a rate of 2 feet per second, determine the rate of change of the angle of elevation from the light to the javelin when the javelin is at a height of 28 feet. (Do not include units in your answer, and round to the nearest hundredth.)

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr

Convert (-3,0) to polar form. a. (3,0’) b. (-3,180’) c. (3,180’) d. (3,360’)

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)