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1. Find the absolute maximum and minimum values of f on the given closed interval, and state where those values occur.
f(x) = 23x - 46 sin x; [-π/4, π/2].
2. Use a graphing utility to estimate the absolute maximum and minimum values of f, if any, on the stated interval, and then use calculus methods to find the exact values.
f(x) = 10 In (x2 + 1) - 8x; [0, 3].
Sketch the given region R and then find its area. R is the rectangle with vertices (1, 0), (-2, 0), (-2, 5), and (1, 5).
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
A trough full of water has vertical ends in the shape of an isosceles triangle 5m across the top and 2m deep. Find the force against the end.
An investor invested a total of $2,500 in two mutual funds. One fund earned a 4% profit while the other earned a 25 profit. If the investor's total profit was $78, how much was invested in each mutual fund?
Calculate the revenue and marginal revenue (derivative of the revenue with respect to q) at a demand level of 400 pounds per month.
Determine the maximum and minimum values for the following set.
use dimensional analysis to convert the quantity to the indicated units. If necessary, round the answr to two decimal places. 1) 70 in. to ft.
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
1. In regression equations represented by Y = 2 + 3X, if value X =2 then predicted value of Y is 10. 2. Residual = Actual Value - Predicted Value 3. In a queuing system, percentage of time a server is busy is called the utilization factor for the ..
Find the drawdown at a distance 100 meters from the pumping source. Find the particular solution subject to the initial condition that the drawdown at some given distance r = R from the pumping source.
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
Calculate the mean of the sample means and compare it to the population mean.
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