The Heaviside function is defined by H ( x ) = { 1 , if x ≥ 0 ; 0 , if x < 0 . Using just the definition of integrable, prove that the Heaviside function is integrable on [ a , b ], where a < 0 < b. What is the integral?

Louise measured the perimeter of her rectangular scrapbook to be 154 cm. if the scrapbook is 45 cm wide, how long is the scrapbook?

Arecipe calls for 2 2/4 cups of raisins, but julie only has a 1/4 measuring cup. how many 1/4 cups is needed to measure out 2 2/4 cups of raisins?

Which sentence uses an objective tone? we will plant the best garden of any school in the area. the new campus garden will surely be envied by other schools. a garden would provide numerous benefits to the students. you will probably agree that gardens have many benefits.