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Let f(x) = arctan (x/(2-x^2)) Using the rules for differentiation given in lectures, find f'(1), simplifying your derivative before evaluating it,and clearly indicating your working.
Bruce needs 30 five-foot pieces of rope for a school project. The hardware store sells rope by the yard. How many yards of rope will Bruce need to purchase?
question1athe connected planar graph g has degree sequenceg1 g2 g3 g4 g5 g6and the connected planar graph h has degree
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.
Assume debt and common equity each represent50% of the firms capitol structure. Compute the weighted average cost of capitol.
Approximate the maximum possible percent error in the calculated volume by using the total differential as an approximation to volume change.
In one minute the tea cools down to 84Cdegree. What will be the temperature of the tea after an hour? When will the temperature of the tea be 22o?
An employee who produces x units per hour earns an hourly wage of y = 0.35x + 11 (in dollars). Find the hourly wage for an employee who produces 2 units per hour.
A poster is to contain 384 cm^2 of printed material. The top and bottom of the page are to have margins of 6cm and the sides are to have margins of 4cm each. what are the overall dimensions of the poster of least area?
A 17 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 1 textrm{ft/sec}.
The annual income from the certificate of deposit is $200.00 more than the annual income from the mutual fund. How much money was put into each type of investment?
Find an equation for each of the following trig functions
Compare and contrast all methods of solving systems of linear equations with two variables. Explain which method you prefer and why. Support your answer by providing appropriate examples.
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