The daily discharge of a particular river in april and june is modeled by the following functions where the discharge is measured in millions of cubic feet per day and tequals=1 corresponds to the first day of the month. complete parts (a) through (c) below. r 1r1equals=0.250.25tsquared2plus+36. 3236.32tplus+721.78721.78 (april) r 2r2equals=0.900.90tsquared2minus−69 .0469.04tplus+2049.952049.95 (june) 0 5 10 15 20 25 30 0 500 1000 1500 2000 2500 t r r 1r1r 2r2 a coordinate system has a horizontal t-axis labeled from 0 to 30 in increments of 5 and a vertical r-axis labeled from 0 to 2500 in increments of 500. a curve labeled r 1 rises at an increasing rate from left to right and passes through the points (0, 700) and (30, 2050). a curve labeled r 2 falls at a decreasing rate and passes through the points (0, 2050) and (30, 800). all coordinates are approximate. a. determine the total amount of water that flows through the river in april (30 days). set up the integral that will be used to find the total amount of water that flows through the river in april. use increasing limits of integration.

This question is worth 54 points ! rock falls from a ledge to the ground what energy conversion occurs during this process a potential to kinetic b kinetic to potential c thermal to mechanical d chemical to mechanical

Comedians like to joke that the reason we haven’t been visited by intelligent life from elsewhere in the universe is that aliens have been monitoring earth’s broadcasts of intellectually embarrassing tv programs, like gilligan’s island, fear factor, the jersey shore, and the jerry springer showand so consider us far too primitive to merit a visit. let’s check the assertion that aliens could have been receiving them. tv programs are broadcast at a frequency of about 100mhz with about 100kw of total power in 30frames per second, which emanatesroughly uniformly in all directions. assume that interstellar space transmits these broadcasts without attenuation. no matter how smart they are, aliens would require at least one photon per frame to interpret our signals. findthe number of photons per unit time per unit area reaching a receiver on a possible planet in the nearest star system, which is about 4 light-years away (a light-year is the distance light travels in a year). if aliens aimed a receiver or detector directly at earth, how big (in diameter) would it have to be to receive a photon per frame

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final