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Modeling Wind Speed Wind speeds are usually measured at heights from 5 to 10 meters above the ground. For a particular day, f(x) = 1.4 ln (x) + 7 computes the wind speed in meters per second x meters above the ground, where x ≥ 1.
(a) Find the wind speed at a height of 8 meters.
(b) Estimate the height at which the wind speed is 10 meters per second.
where k and m are positive numbers. What condition on k and m leads to critical damping? what are the steady state and transient terms?
Let C(x) = 10x + 89 be the cost to produce x units of a product, and let R(x) = - x2 + 30x be the revenue. Find the maximum profit.
a 25-year convention mortgage. mr. amp mrs. alan bell obtain a 25-year 110000 conventional mortgage at 10.5 on a house
Problem1 complete solutions correct answers key Example - What test would you use to determine whether the starting salaries for statisticians are greater than $80,000? Ans. - One-sample t-test for population mean, Ho: μ=$80,000 vs. Ha: μ >$80,000
What is the marginal cost when x = 1000 and 2000? Find the average cost function C‾ and the marginal average cost function C‾'.
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
a scientist obtains the number 0.045006700 on a calculator. if this number actually has four 4 significant figures how
For positive a, b, the potential energy, U, of a particle is given by U = b (a2/x2-a/x) for x > 0. Find the asymptotes. Compute the local maximum (x, U). Compute the local minimum (x, U). Sketch the graph.
Find a set S for Theorem 2.2.3 when G is a forest. Show that X is minimal as an a - b separator if and only if every vertex in X has a neighbor in the component Ca of G - X containing a, and another in the component Cb of G - X containing b.
any has fixed cost of 300$ and variable cost of 3/4x + 1460$/unit where x is total number of units produced. The selling price of it's product Is 1500-1/4x $/ unit. What is the cost function? What is the revenue function?
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