Brian is training for a marathon. he is going to ramp up the number of miles he runs by 2 miles each week. in the first week, he is going to only run 5 miles, then the second week 7 miles, the third week 9 miles, etcetera. if brian keeps this routine up for 20 total weeks, what is the total distance he will have run? show how you arrived at your answer

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees celsius. find the temperature when the velocity is 329 meters per second by graphing the equation. round the answer to the nearest degree. show your work.

Look at the graph of f(x) = sin 1/x. is this function periodic? why or why not?