The conic whose a, b, c relationship is c^2=a^2-b^2
What is an ellipse
100
f(-1) when f(x)=-2x^2 - 2x - 1/x
What is: 1
100
The log form of 2^a=b
What is: log, base 2, of b = a
100
the conic sections
What are: circle, ellipse, hyperbola, & parabola
100
The number of different ways that you can line up 8 people for a photograph.
What is: 40,320 ways
200
The coordinates of the foci of the hyperbola whose equation is: x^2/49 - y^2/576 = 1
What are: (25, 0) and (-25, 0)
200
The inverse, f inverse of x, if f(x) = 3/(x+2)
What is: f inverse of x = (3/x)-2
200
the amount of money to the nearest $0.01 that you have when $1000 is invested at 6% interest compounded continuously for 10 years.
What is: $1822.12
200
The coordinates of the foci of the ellipse whose equation is:
x^2/36 + y^2/100 = 1
What are: (0, 8) and (0, -8)
200
The graphical test that you perform to decide if a function is a 1-1 function
What is: the horizontal line test
300
The coordinates of the focus for the parabola with equation: (x - 1)^2 = 12y
What is: (4, 0)
300
The complete factorization of: 1 - 16y^4
What is (1 + 4y^2)(1 + 2y)(1 - 2y)
300
The range of the function f(x) = -(3^x) + 4
What is: y < 4
300
The equation of the directrix of the parabola with equation:
x^2 = -28y
What is: x = 7
300
The probability of getting an Ace OR a heart, if you select one card from a standard deck of 52 cards.
What is: 16/52 = 4/13
400
The equations of the asymptotes of the hyperbola with equation:
(y - 5)^2/49 - (x + 8)^2/9 = 1
What are: y + 8 = (7/3)(x - 5)
& y + 8 = (-7/3)(x - 5)
400
The correct sequence of transformations that occurred for f(x) to become: - f(x + 12) - 8
What is: i) reflect over the x-axis; ii) shift 12 units left; and iii) shift 8 units down. [Note: (ii) and (iii) are interchangeable]
400
The exact solution to the log equation: 3ln(2x) = 12
What is x = e^4/2
400
The center and radius of the circle with equation:
x^2+y^2-22x+44y - 20 = 0
What is: Center (11, -22) and radius = 25
400
The exact value of f(g(f(-1))), if f(x) = 3x^2 - 5 and g(x) = 1 - 10^x
What is: -2.0597
500
What is the equation of the hyperbola whose vertices are (-12, -5) and (8, -5), with one focus at (12, -5)
What is: (x+2)^2/100 - (y+5)^2/96 = 1
500
The fourth term, in simplified form, of the expansion of (x^2 - 3y)^8
What is : -1512(x^10)(y^3)
500
How long to the nearest 0.1 year it will take for a sample of radioactive jello (whose half-life is 2000 years) to decay to 15% of its original amount.
What is: 5473.9 years
500
What is the solution set of the system of equations:
4x^2+y^2= 4
2x - y = 2
What is: (1, 0) and (0, -2)
500
The domain and range of the function f(x) = x/(x+3)
What is a domain: All Reals, except x = -3
and a range: All Reals, except y = 1