Series
Calculus
Counting
Algebra
Geometry
100
Find the sum of the infinite geometric series: 4 + (4/7) + (4/49} + (4/343) + ...
14/3
100
Find the Limit
Lim→0 x / x-1
DNE
100
A group of 10 students is divided into two subgroups of 6 and 4. In how many ways can this be done?
420
100
Write the equation of the line that passes through the point (0, 0) and is perpendicular to the line shown below?
y = (5/4)x
100
The point A has coordinates (2,-6). The equation of the line perpendicular to the line AB is 2y= 3x +5.
Find the equation of line AB.
3y=-2x+14
200
Calculate the sum of the infinite geometric series: 3 - (9/2) + (27/4) - (81/8) + ...
6/5
200
Evaluate the limit without using l’hopital rule.
Lim—>0 sin(3x)/5x
3/5
200
Consider the word "CONSIDERATION". How many arrangements are there such that no two vowels are adjacent, and no two consonants are adjacent?
3628800
200
D
200
What is the angle between the Hour and Minute hand between a clock at 3:15? Give answer in degrees
7.5
300
Determine the sum (S) of this infinite series. S = 1- ½ + ⅓ - ¼ + ⅕ - ⅙ +…
0.6931 or ln(2)
300
Find the point of intersection between the inverse and the derivative of x^2 - x?
(1.39,0.542)
300
Three dice are rolled. What is the probability that the sum of the numbers is a prime number
77/216
300
One pipe can fill a tank in 8 minutes, a second pipe can fill it in 12 minutes and a third pipe can fill it in 24 minutes. If the tank is empty how long will it take the three pipes, operating together, to fill it?
4 minuites
300
The Line L1 passes through the points A(3,8) and B(4,6). The line L2 is parallel to L1. If L2 passes through the origin, find the point C such that the line AC is perpendicular to L2.
(1.86,7.43) or (13/7,52/7)