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Problem 1. What is the radius of the sphere whose center is at the origin and passes through (8,1,6)?
Problem 2. What is the second derivative of a function y = 5x3 + 2x + 1?
A wooden artifact from an ancient tomb contains 55% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
Draw labor market graphs illustrating the following examples that were mentioned in the text.
(a) Write an equation in x and y for the number of gallons of gas sold. (b) Write an equation in x and y for the amount of money received.
describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6.
question a cohort study is conducted to assess the association between clinical characteristics and the risk of stroke.
In one study of the quantities x and y of natural gas that Western Europe should import from Norway and Siberia, respectively, it was assumed.
The integrals represent the volume of either a hemisphere or a cone, and the variable of integration measures a length.
Draw a Venn diagram to represent the above information. Determine the value of x. How many boys do not play Rugby or Cricket. How many boys play at most two of the sports
Verify Gauss's Theorem, ∫Volume ∇→ · F→dv = ∫surface F→ · n^ da for the function, F→ = r2 sin θr^ + 4 r2 cos θ θ^ + r2 tan θ Φ^ using the volume of the "ice cream cone" shown below.
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.
Give an algorithm to build a rooted spanning tree for connected directed graphs in which each vertex has the same in-degree and out-degree.
A certain university has a computer room with 128 terminals. Each day there is a 4% chance that a given terminal will break and a 60% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
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