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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 55,000,000 km at perihelion and 61,000,000 km at aphelion. Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis.
Difference and relationship between correlation and determination as it applies to linear regression analysis
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
Find the solutions of the exponential equation
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
Evaluate the number of ways between two town from the word problem - How many ways are there to go from A to C?
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
Probability in poker, Find the probability of drawing a straight flush in poker
In each of the following parts, you should simplify your answers where it is appropriate to do so. Write down the derivative of each of the functions
Consider the set of points (x, y, z) defined by the set of equations below: Find a 2 x 3 system of linear equations having this set of points as its solution set.
Find the number of units x that produce a maximum revinue R. Find the number of unites x that produce the minimum average cost per unit C.
how many samples of 3 apples can be drawn from the crate? how many samples of 3 could be drawn in which all 3 are rotten?
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