Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 983937: The height of the water, H, in feet, at a boat dock t hours after 6 a.m. is given by H=8+sin pi/3 t. Find the height of the water at 9a.m.
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Question 983852: What is the standard equation of the parabola with given: vertices (2,5) parallel to x-axis and passes through (7,1)
Click here to see answer by Timnewman(323)

Question 984409: I have two limit questions:
Find the derivative of f(x) = 5/x at x = -1.
Use graphs and tables to find the limit and identify any vertical asymptotes of lim(x-->7) 1/(x-7)^2

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Question 984414: solve the system.
x+y-2z=8
x+3y+2z=14
x-3y-2z=4
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Question 984535: I have two limit questions:
Find the derivative of f(x) = 2/x at x = -2.
Find the derivative of f(x) = -9/x at x = -8.
Please help!
Click here to see answer by jim_thompson5910(35256)

Question 984603: Find an equation of the parabola described then graph the parabola. Focus(-2,1); Vertex(-3,1)
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Question 984794: Find the fifth roots of 32(cos 280� + i sin 280�).
Click here to see answer by srinivas.g(540)

Question 984896: Please help me answer this equation:
Identify the vertex, focus,and directrix of equation:
y=1/12x^2
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Question 984896: Please help me answer this equation:
Identify the vertex, focus,and directrix of equation:
y=1/12x^2
Click here to see answer by macston(5194)

Question 985482: For the circle and the line , determine the exact values of the gradient so that the line:
a) is a tangent to the circle
b) intersects the circle in two places
c) does not intersect the circle
Click here to see answer by KMST(5328)

Question 985667:
What is the smallest positive integer for b that will force this parabola to have two x-intercepts?
Please show working
Click here to see answer by Edwin McCravy(20056)

Question 985669: a.

What is the maximum value of this expression?
b.

For which values of y will x be positive?
Please show working, thanks in advance
Click here to see answer by macston(5194)

Question 985675:
For which values of x will y be negative?
Click here to see answer by Alan3354(69443)

Question 985894: How do you find the focus and directrix of the parabola y=x^2-4x+4 and graph it?
Click here to see answer by MathLover1(20850)

Question 986363: How can I algebraically find out where these two conic sections intersect?
4x^2+16y^2=64
2x-y^2=-4
Click here to see answer by Alan3354(69443)

Question 986364: How do I algebraically determine where these two conic sections intersect?
4x^2+16y^2=64
2x-y^2=-4
Click here to see answer by Alan3354(69443)

Question 986493: Sketch the graph of 9x2 � 16y2 = 144. Label any intercepts and asymptotes.
Click here to see answer by Fombitz(32388)

Question 986810: Put the equation in standard form for a hyperbola.
4x2−9y2−24x−54y=81
Click here to see answer by josgarithmetic(39618)

Question 987347: what are the coordinates of the center of the ellipse graphed by the equation below? (x+14)^2/6^2+(y+17)^2/5^2=1?
Click here to see answer by macston(5194)

Question 987549: Test for symmetry
4x^2=+y^2=64
Click here to see answer by Alan3354(69443)

Question 987973: (Ellipse)
25x^2 + 64y^2 - 400x - 600y=0
Find its standard equation, foci, vertices and extemeties of the minor axis.
Click here to see answer by MathLover1(20850)

Question 988025: Question Part
Points
Submissions Used
Use the quadratic formula to find any x-intercepts of the parabola. (If an answer does not exist, enter DNE.)
y = 2x^2 − 10x + 5
Click here to see answer by josmiceli(19441)

Question 990195: I need help Graphing y=-x^2-3x+6. Can someone please help me.
Click here to see answer by josgarithmetic(39618)

Question 991186: 4x^2+9y^2=25 at (-2,-1)
Click here to see answer by Alan3354(69443)

Question 991544: What is the vertex form of the equation y=4(x+1)(x-1)?
Click here to see answer by Fombitz(32388)

Question 991566: How do you the parabola y=4x^2-12x+5 into vertex form and intercept form?
Click here to see answer by Fombitz(32388)

Question 991825: Please help me with this! Find the centre, vertices, lenght of latus rectum, foci , eccentricities of the ellipse x^2 + 9y^2 + 4x -18y - 23 = 0
Click here to see answer by ikleyn(52795)

Question 992106: Find the equation of the parabola with focus (5,4) and directrix x = 3
Click here to see answer by josgarithmetic(39618)

Question 992151: x^2/4+y^2/9+z^2/16=1

Click here to see answer by ikleyn(52795)

Question 992315: directrix has y-intercept 3
Click here to see answer by ikleyn(52795)

Question 992302: Hyperbola
Determine the center,vertices, foci,conjugat, and the latus rectum of the
(y+3)^2/16 - (x-2)^2/25=1
Click here to see answer by MathLover1(20850)

Question 992413: Equation of parabola and latus rectum with focus (-8,0) and directrix x=8
Click here to see answer by josgarithmetic(39618)

Question 993227: find the standard form of the equation of the parabola satisfying the given conditions
focus (2,1) directrix x=-4

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Question 993571: find the equation of a circle that passes thru'(6,0) and (24,0) and is tangent to the y-axis

Click here to see answer by anand429(138)

Question 993571: find the equation of a circle that passes thru'(6,0) and (24,0) and is tangent to the y-axis

Click here to see answer by solver91311(24713)

Question 993785: for the parabola : y = -x^2 + 36.
Graph of a parabola opening down at the vertex (0,36) crossing the x�axis at (-6,0) and (6,0).
Click here to see answer by solver91311(24713)

Question 994389: Use the following equation: y = �3(x + 8)^2 + 2
The coordinates of the vertex written as (h, k) would be?
Click here to see answer by Boreal(15235)

Question 994973: write the equation of the parabola if its focus is at (0,10), and the equation of its directrix is y=-10
Click here to see answer by josgarithmetic(39618)

Question 995308: Plot vertical intercept on graph f(x)=2x^2-4
Click here to see answer by josgarithmetic(39618)

Question 995545: A cable suspended between two posts that are the same height and 10 meters apart has a sag of 1 meter. If the cable hangs in the form of a parabola, find its equation, taking the lowest point as the origin.
Click here to see answer by stanbon(75887)

Question 995969: Find an equation of the hyperbola that satisfies the given conditions.
Vertices (−1, 7) and (−1, 3), foci (−1, 9) and (−1, 1)
Click here to see answer by Boreal(15235)

Question 996960: How do I determine the width of a quadratic equation to calculate the bounded area?
Click here to see answer by ikleyn(52795)

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