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A train starts off with an initial velocity of u (at km/hr) and accelerates at a steady rate (a = km/hr2) for a time of t hours. Using the ‘area under the curve' method, derive and explain the equation to calculate the distance travelled: Distance travelled, s = ut + ½(a)(t^2).
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.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
find the distance closest to the detection tower horizontal to directly below the aeroplane to the nearest kilometre, if you could explain How to find the equation for the detection tower.
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
A motorboat travels 356 miles in 4 hours going upstream and 357 miles in 3 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Find the sum or difference as a product of sines or cosines.
What does the average cost per board tend to as production increases?
Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85.
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
Explain what assumption the researcher should be willing to make if a margin of error is desired.
Use taylor series expansion to find the given variables.
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
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