question archive 1) Let f(x) = 2x3 − 6? − 4
1) Let f(x) = 2x3 − 6? − 4
Subject:MathPrice: Bought3
1) Let f(x) = 2x3 − 6? − 4.
a) The absolute maximum value of f(x) on the interval [0,2] is .
b) The absolute minimum value of f(x) on the interval [0,2] is
2) The demand for a lawn tractor is p = 5,000 − 4q, where p is the retail price (in dollars) at which q tractors can be sold. Determine the price and quantity that will result in the maximum revenue for this product.
Quantity resulting in maximum revenue .
Price resulting in maximum revenue
3) Let f(x) have derivative f′(x) = (x + 1)(x − 5)2 and second derivative f′′(x) = (3x − 3)(x − 5). Using the number lines provided, tell which function each number line represents and then find:
a) all open intervals where f is increasing:
b) all open intervals where f is decreasing:
c) the ?-coordinate(s) where f has relative minimum value(s): x =
Number line for
d) all open intervals where f is concave up:
e) all open intervals where f is concave down:
f) the x-coordinate(s) where f has inflection point(s): x =
Number line for
