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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.
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
Important information about Cumulative Probability, Suppose the probabilities that a new car battery functions
Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?
A boat tied up at a dock bobs up and down with passing waves. the vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s. what is the sinusoidal equation?
Analysis the graph of the derivative.
What are some of the benefits of being able to find the expected value of a probability distribution? Give an example of how this could be used your advantage in a business setting
Find the general solution for given trigonometric equation on the given interval.
Calculate the mode
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
Draw a Venn Diagram to represent the relationship among E,L,S. Place the following five numbers on the Venn Diagram. 3 exponent 11, 6 exponent 2,11 exponent 6 10,000, 22 exponent
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