Consider f and c below. f(x, y) = x4y5i + x5y4j, c: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) find a function f such that f = ∇f. f(x, y) = (b) use part (a) to evaluate c f · dr along the given curve c.

Identify the type of observational study described. a statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years. cross-sectional retrospective prospective

Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?

:24% of students in a class are girls. if there are less than 30 students in this class, how many students are there? how many girls are there?