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Question: The gravitational force, F newtons, exerted on an object by the earth depends on the object's mass, m kilograms, and its distance, r meters, from the center of the earth, so F = f(m, r). Interpret the following statement in terms of gravitation: f(100, 7000000) ≈ 820.
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
Find the product as a sum containing only sines or cosines
On the axes below, draw a non-linear function that is continuous and differentiable between the points (0, 3) and (4, 1). Sketch the secant line between these two points.
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
radius of earth 6370 kmmean ocean depth 3800height of biosphere 14kmif the earth were scaled down to a 1m diameter
Let X be a set, and let A A⊂X. Define f: P(x)-> P(x) by f(B)=A∩B. Under what conditions is f one-to-one? Surjective? Here P(x) is the power set of X (i.e. the set of all subsets of X).
Write the following statements as integers.
Assuming that both patients are on time, find the average amount of time that the 1:30pm appointment spends at the doctor's office.
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
Write an equation for the total amount of gold in the mixture. Use s to represent the amount of silver added.
Use a 2-month moving average on all the data and plot the averages and the prices. Use a 3-month moving average and add the 3-month plot to the graph created in part (a). Which is better (using the mean absolute deviation): the 2-month average or th..
Calculate the Correlation coefficient, Coefficient of determination and SSE, and the Standard Error of Estimate.
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