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Suppose that we have an efficient way of calculating exponentials. Based on this, use Newton's method to devise a method to approximate log(2) [where "log" is the natural logarithm function]. Use an initial point of x0=1, and perform 2 iterations.
The media access control (MAC) address of a network interface is a unique address. Each network interface relating to its MAC fits the criteria of a function because each device has its own, unique MAC address. Describe an everyday situation in your ..
Analyzing the graph of the given function using first and second derivative
what is the missing dimension of the square pyramid s=14yd, V=489yd3
Rochelle flies her plane at a constant rate of 400 miles per hour (mph) for two hours. After a refueling stop, she continues at the same rate for another t hours. Using the fact that distance is given by rate × time, write an expression for the tot..
Two mechanics worked on a car. The first mechanic worked for 5 hours and the second mechanic worked for 15 hours. together they charged a total of $1500. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per ..
A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons of water in the tank. After 21 minutes, there are 222 gallons. Write an equation to represent the volume of water in the tank y after x ..
what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Expree your answer as an ineuality and explain how you arrived at your answer.
1. Let A be a non-empty set. Prove that if there exists an injection f : A -> N(natural numbers), then A is finite or countably infinite. 2. Prove that on the real line R, the collection of all closed intervals with rational endpoints is a countable..
Find the exponential growth function and what will the population be after 7 days - explain the variety of ways to solve the problem.
Find a polar equation to describe curve represented by Cartesian equation 3x^2+3y^2=16
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
On notebook paper, construct a rectangle that covers more than half the area of the paper AND the ratio of the width and length simplifies to a rational number that is a close approximation of the "golden ratio". State the dimensions of the rectan..
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