Suppose an astronomer known for joking around told you she had found a type-o main-sequence star in our milky way galaxy that contained no elements heavier than helium. would you believe her? why?

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

Suppose while hauling rocks, you accidentally drop one. it breaks apart in flat, planar sections. what type of rock did you just drop? 20 points

Aparticle moves in the xy plane with constant acceleration. at time zero, the particle is at x = 6 m, y = 8.5 m, and has velocity ~vo = (9 m/s) ˆı + (−2.5 m/s) ˆ . the acceleration is given by ~a = (4.5 m/s 2 ) ˆı + (3 m/s 2 ) ˆ . what is the x component of velocity after 3.5 s? answer in units of m/s.