The nth term of the sequence containing {-5,-3,-1,1,...}
What is 2n-7?
100
The equivalent expression of y=log_b(x) resulting from rewriting using the change of base formula.
What is y=ln(x)/ln(b) or y=log(x)/log(b)
100
The amount accumulated by an initial investment of $8,000 after 12 years compounded quarterly at a rate of 5.25%.
What is $14959.45?
100
The conic section determined by the equation
13x^2-6sqrt(6)xy+7y^2-16=0.
What is an ellipse?
100
the limit of sin(x)/x as x->0.
What is 1?
200
The nth term of the sequence containing {4,7,10,13,...}
What is 3n+1?
200
This is an equivalent way to rewrite the expression ln(1/x) using the properties of logarithms.
What is -ln(x)
200
the domain and range of f(x)=7^(5-x)-2
What is domain f: all real numbers, range f:y>-2 or (-2,infinity)?
200
The equation y=2x^2+4x-6 written in vertex form.
What is y=2(x+1)^2-8?
200
The limit of (5x+2)/(7x-1) as x->infinity.
What is 5/7?
300
The common ration and the 6th term of the geometric sequence with a_2=9/16 and a_3=9/64.
What is r=1/4 and a_6=9/4096?
300
When this condition is met the function f(x)=log_b(x) is an increasing function.
What is when b>1.
300
The period of time necessary for an initial investment to double given that it is compounded continuously at a rate of 0.3% per year.
What is 231 years?
300
An equation that represents the parabola with a vertex of (6,2) and passes through the point (12,5).
What is y-2=1/12(x-6)^2 or x-6=2/3(y-2)^2
300
the limit of (3x^2-8x+4)/(x-2) as x->2.
What is 4?
400
The common ration and the 8th term of the geometric sequence with a_2=-15/16 and a_5=15/1024.
What is r=-1/4 and a_8=-15/65536
400
The result of the expansion of log_4[(64xy^3)/(z-4)^2].
What is 3+log_4(x)+3log_4(y)-2log_4(z-4)
400
The expected population of an endangered bird species 10 years from now that is currently at a count of 300,000 and is decreasing exponentially at a rate of 5.5% per year.
What is 173,085 birds.
400
The equation of a circle with endpoints of a diameter at (-2,5) and (12,3).
What is (x-5)^2+(y-4)^2=50
400
the limit of (sqrt(x+1)-1)/x as x->0.
What is 1/2?
500
The common ration and the 9th term of the geometric sequence with a_2=4/25 and a_5=32/3125.
What is r=2/5 and a_9=512/1953125
500
The solution(s) of the equation log_2(x)+log_2(x-7)=3.
What is x=8?
500
the solution(s) of the equation: 9^(2x^2-8x)=3^(-15)
What are x=3/2 or x=5/2?
500
An equation of a hyperbola centered at (-2,5).
What is (x+2)^2/169-(y-5)^2/9=1 (answers will vary)