A particle moves along the curve y = 5x2 - 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1? (2 points).

Atomic nuclei of almost all elements consist of

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.

In which item is energy stored in the form of gravitational potential energy? a. a slice of bread b. a compressed spring c. an apple on a tree d. a stretched bow string