Questions asked
Khushbu Rani
Numerade educator
Use the given graph of f(x) to find the intervals on which f'(x) > 0.
Christopher Dzorkpata
The cost of manufacturing a particular videotape is C(x) = 9000 + 9x, where x is the number of tapes produced. The average cost per tape, denoted by ?(x), is found by dividing C(x) by x. Find lim_{x ? 9000} ?(x).
A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by: C(x) = 350 + 2x - 0.01x^2, 0 ? x ? 100 Find the marginal cost at a production level of 70 dozen pens and interpret the result.
Benjamin Densmore
The annual revenue and cost functions for a manufacturer of zip drives are approximately R(x) = 520x - 0.02x^2 and C(x) = 160x + 100,000, where x denotes the number of drives made. What is the maximum annual profit?
Set up a definite integral that represents the shaded area. 19) y = g(x)
Steven Clarke
Assume x = x(t) and y = y(t). Find dx/dt if x^2 + y^2 = 25 and dy/dt = 3 when x = 3 and y = 4.
Given int_{1}^{3} f(x) dx = 4 and int_{1}^{3} g(x) dx = 2, use properties of definite integrals to evaluate int_{1}^{3} [2f(x) + 5g(x)] dx.
Find f'(x). 7) f(x) = 3e^x - 8x + 2
int_{-1}^{1}(3x^{2}-8x) dx
4) ( int_{0}^{b} 7 e^{x} d x )
