In southern United States, number of June bugs J(x), in millions, in the certain area depends on June rainfall, x, in inches: J(x)=34 x -2.63 x^2.
i) Determine rainfall which manufactures maximum number of June bugs in inches to at least 3 places past decimal.
ii) Determine maximum number of June bugs in millions to at least 3 places past decimal. For example, if you find maximum to be nine hundred million one hundred twenty thousand June bugs then answer is 900.120.
If the object is thrown upward from the height of zero with the initial velocity of 76.43 feet per second then its height is given by
h(t) = -16.54t^2 + 76.43 t
i) What is the maximum height?
ii) At what time is the maximum height achieved?
iii) At what time is the height again equal to zero?