Calculus
Algebra
Counting
Series
100
Use the fundamental theorem of calculus to find g(x).
g(x) = ∫ x,2 (f^7-5f df)
(x^8)/8 - (5/2)x^2 -22
100
Joe earned an average of 84 in his math class. All his test scores combined added up to 588 total points. How many tests were given in his math class?
7
100
In a group of 15 people, 7 are men, and 8 are women. If a committee of 5 is to be formed, and it must include at least 2 men and 2 women, how many different committees are possible?
(7C2)(8C2)(11C1) or 6468
100
The sum of the first 30 terms of an arithmetic sequence is 870. If the common difference is 8, find the first term.
-87
200
For what point would
f(x) = e^(2x) cos(5x) be
a horizontal line?
(4.36,5686)
200
B
200
A palindrome is a number that reads the same backward as forward. How many 5-digit palindromic numbers can be formed, where a palindrome is not divisible by 2?
5*10*10 or 500
200
7, 13, 25, 45, 75, ?
117
300
A farmer has 100 meters of wire What is the length of a side which gives the greatest area if the farmer wants to create an isosceles triangle.
33
300
The cashier in a movie box office sold 200 more adult admission tickets at $11.00 each than children’s admission tickets at $8.00 each. What is the minimum number of each type of ticket that the cashier had to sell for the total receipts to be at least $5000?
148 child.348 adult
300
A box contains 4 red balls, 3 blue balls, and 5 green balls. If two balls are drawn with replacement, what is the probability of getting at least one red ball?
(4/12)(8/12)(2) + (4/12)*(4/12) or 80/144 or 5/9
300
sqrt(2*sqrt(4*sqrt(8*sqrt(16....
2^2 or 4