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(a) The edge of a cube was measured to be 6 cm, with a maximum possible error of 0.5 cm. Use a differential to estimate the maximum possible error in computing the volume of the cube.
(b) Using a calculator, find the actual error in measuring volume if the radius was really 6.5 cm instead of 6 cm, and find the actual error if the radius was actually 5.5 cm instead of 6 cm. Compare these errors to the answer you got using differentials.
A closed cylindrical can is to be designed so that the can will hold 170cm^3 of oil. Find the dimensions of the can which requires the least amount of metal.
A box with a square base has length plus girth of 104 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3? what is the smallest and largest length.
description of directional derivative.the dot product often referred to as the inner product in a linear algebra text
you are thinking about purchasing a cell phone before making a decision you contact the major service providers in your
A report states that 46% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 3% with 96% confidence?
Suppose a rational function R(x) has the horizontal asymptote y = 3/2. Explain the behavior of the function as the variable x increases without bound.
A set of numbers is defined recursively as follows - Which of the subsequent numbers belong to the set?
What is the equation of a circle touching the lines x-3y-11=0 and 3x-y-9=0 and having its center on the line x+2y+19=0.
Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, enter your intervals from left to right as they appear on the real line.
1 how do graphical presentations reflect data type e.g. discrete and continuous random data?2 how can mean standard
Considering window size w=2, design a Markov chain and evaluate how much improvement can be achieved. What is the tradeoff of the scheme in order to gain a better throughput?
What was the response rate? 6.) How were the subjects contacted? 7.) When was the survey conducted? 8.) What were the exact questions asked?
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