Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then, write and factor the trinomial. x2 – 14x Solution :…
Category: Conic Sections
Problem 1084
Find the vertex, focus, and directrix of the following parabola. Then draw the graph. (x – 2)2 = -3 (y + 1) Solution:- The two standard forms of the…
Problem 1083
Find the equation if the parabola determined by the given information. Focus (3,5), directrix x = -1. Solution:- Notice that the directrix is a vertical line. Since the…
Problem 717
Find the vertex of the parabola x = 3y2 + 6y+1 Solution:- y coordinate = = = -1 x coordinate = +6(-1)+1 =3-6+1 =-2 So vertex of the…
Problem 708
Which of the following is another representation of the polar coordinate P = (8,-45°) Solution:- If point P = (r,) , it can also be written as (r,+2k)…
Problem 704
Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. -3 Solution:- -3+0i r = 3 θ = θ =…
Problem 702
Convert the rectangular coordinates into polar coordinates. Solution:- = 16+48 = 64 r = 8 Now we are find θ = = θ = 60° So the poler coordinate (8, 60°)
Problem 694
You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time…
Problem 525
What is the equation of the ellipse with vertices at (-25, 0), (25, 0) and co-vertices (0, -15), (0, 15)? Solution:- Use the standard equation
Problem 524
What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)? Solution:- Use the standard equation
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