Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 23302: The Earth is closest to the sun in January. The closest point, or perihelion, is 1.47 x 10^8km from the sun. The Earth is farthest from the sun in july. The farthest point or Aphelion, is 1.52 x 10^8 km from the sun. Write an equation of the ellipse that models the Earth orbit around the sun. Assume that the centre of the ellipse is at the origin and that the major axis is along the x-axis.
-------------------------Earth
Perihelion.___sun_________.Aphelion -----------> assuming this is the ellipse.
Click here to see answer by stanbon(75887) |
Question 21722: I just need this question checked. Here it is....
A mining company has determined that the cost in dollars, c, per ton of mining a mineral is given by c(x)=0.2x2(squared)-2x+12 where x is the number of tons of the mineral that is mined. Find the number of tons of the mineral that should be mined to minimize the cost. What is the minimum cost?
i got the minimum cost should be 7 is this right?
if not please help!
Click here to see answer by stanbon(75887) |
Question 23528: A ship is monitoring the movement of a pod of whales with its radar. The radar screen can be modelled as a coordinate grid with the ship at the centre (0,0). The pod appears to be moving along a curve such that the absolute value of the difference of its distances from (2,7) and (2,-3) is always 6. Write an equation in standard form of hyperbola to describe the path of pod.
So far I got... the centre at (2,2) and 6/2 = 3^2 = 9
And the equation: x-2/a^2 - y-2/9 =1 I can't figure out (a
Click here to see answer by Paul(988) |
Question 23745: The stream of water from some water fountains follows a path in the form of a parabolic arch. For one fountain, the maxium height of the water is 8 cm, and the horizontal distance of the water flow is 12cm.
Find an equation of the parabola. Assume that the water spout is located at the origin.
Click here to see answer by khwang(438) |
Question 27825: I dont get how to find the foci! and i guess it;s crucial for this chapter. hyperbolas stink! how do i find the vertecies foci and the slope of:y^2 over 36 minus x^2 over 4 equals one?? please help me!
Click here to see answer by bmauger(101) |
Question 27826: My question is for hyperbolas,
I need to fine the vertecies foci slope and then draw a graph, the problem is i was sick the day my Algebra teachr went through it and my personal oppinion he should not be teaching math because he doesnt answere my questions! one of the many equations is: (x+6) quantity squared over 25, minus (y+3) quantity squared over 9 quals(=) 1(one) please help me get this stuff!
-Sick and Desperate
Click here to see answer by bmauger(101) |
Question 27834: I cant say how much i appreciate your help and i will leave you alone after this last one. xy=c is a hyperbola with the x- and y- aves as asymptotes. I need to sketch the graph the problem is xy=-12 thanks so much
-Sick and Desperate
Click here to see answer by venugopalramana(3286) |
Question 27832: byperbolas, last one i swear.
first i would appreciate it if u defined some words for me and tell me what they are/do. Asymptote, transverse axis,what the a^2 and b^2 do. Next I dont get how to graph the hyperbolas, more specific how to pull info from the graph to the equation, whats standard form for a hyperbola. and last section my book gave me a formula xy=c is a hypebola with the x and y axis as asymptotes(dont know what it means) Sketch the graph of each hyperbola. I promis I'll leave ya alone just lay some stuff out for me please!!
thanks!
Click here to see answer by venugopalramana(3286) |
Question 27829: It's the sick one again,
Im in a conic section and it wants me to write and equation for the hyperbola described: the vertecies of the hyperbola are at (0,-4) and (0.4). the Conjugate,(define it for me please) axis has a length of 14 units. Please explain this to me it wont help if i dont get it.
-Sick and Desperate
Click here to see answer by venugopalramana(3286) |
Question 28071: I have to identify and solve quadratic systems. i really don't get this at all. So, if you could help me solve the problem, it would be greatly appreciated.
1) y= x-2
y= x^2-2
or y= x-1
y=x^2
either one would be great. THANK YOU!!!
Click here to see answer by longjonsilver(2297)  |
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