Find the critical points and inflection points. determine the local extrema and the intervals where the function is concave upward and concave downward.
(a) f(x) = 4xe^3x
(b) f(x) = x − sin(x); x ∈ [− π/2 , 3π/2 ]

(a) calculate the molarity of a solution that contains 0.0345 mol nh4cl in 400 ml of solution. (b) how many moles of hno3 are present in 35.0 ml of a 2.20 m solution of nitric acid? (c) how many milliliters of 1.50 m koh solution are needed to supply 0.125 mil of koh ?

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length