Logarithms
Find 271/3
What is 3?
Find the radius of this circle with the given equation: (x-2)2 + (y+7)2 = 49
What is 7?
The symbol that represents factorials
What is "!" ?
A parabola is the set of all points in the plane that are equidistant from a fixed point called the BLANK and a fixed line called the BLANK of the parabola.
What is focus, directrix ?
Convert this logarithm into exponential form:
Log35 = x
What is 3x = 5 ?
Classify the conic section:
(x-1)2/9 + (y+5)2/4 =1
What is ellipses?
The method we used to find the coeffecient of expanded binomials
What is pascal's triangle?
A partial sum of an arithmetic sequence is given. Find the sum.
250+233+216+...+97
What is 93/16?
Convert this equation to log form:
(1/5)4 = 1/625
What is log1/5 1/625 = 4?
Put the following equation into conic form:
-4x2 + y2 + 8x - 20y - 4 = 0
(y-10)2/100 - (x-1)2/25 = 1?
Expand (x-1)5
What is x5- 5x4 + 10x3 - 10x2 + 5x -1 ?
Use Pascal’s triangle to expand the expression.
(2x-3y)3
What is 8x3-36x2y+54xy2-27y3
Expand this log:
Log3 3x2/√y
What is 1 + 2log3x - 1/2log3y?
Find the center and foci of the given ellipse equation:
(x+8)2/49 + (y-5)2/100 = 1
What is - Center: (-8,5), Foci: (-8,5+√51), (-8, 5-√51)?
Factor using Binomial Theorem.
8a3+12a2b+6ab2+b3
What is (2a+b)3
Find the indicated terms in the given binomial expansion.
Find the term containing A6 in the expansion of (A+3B)10
What is 17,010A6B4
Simplify this log:
3logx-5logy+log7
What is log 7x3/y5
Use the given information to find the equation for a parabola:
Vertex: (-3, 0), Focus: (-47/16, 0)
What is 1/4(x+3)=(y-0)2
Simplify.
(x+h)3-x 3/h
What is 3x2+3xh+h2
The time required to double the amount of an investment at an interest rate r compounded continuously is given by t=ln 2/r.
Find the time required to double an investment at 6%, 7%,and 8%.
What is 11.6 years, 9.9 years, and 8.7 years?