CALCULUS!
Find the derivative:
f(x) = 3/x + 4x5 + 6ln(x) + cos(x)
-3x-2 + 20x4 + 6/x - sin(x)
Who is known as the 'Father of Calculus'?
Isaac Newton!
Given line segment PR with midpoint Q, what are the coordinates of P if the coordinates of Q are (1, 2) and
the coordinates of R are (4, 6)?
P = (-2, -2)
What is the branch of mathematics in which abstract symbols, rather than numbers, are manipulated or operated with arithmetic?
Algebra
If 1=3
2=3
3=5
4=4
5=4
Then 6=?
3
The height of a rock on Mars t seconds after it's thrown is y = 10t - 1 .86t2 meters.
When is the velocity zero?
At t = 2.69 seconds.
Who is credited for the creation of the Pythagorean theorem?
Pythagoras
The Great Pyramid of Giza has a height of 455 feet. If the volume of the pyramid is 91,227,778 cubic feet,
What is the length of a side of the square base rounded to the nearest foot?
448
What is the branch of mathematics concerning relationships between angles and ratios of lengths?
Trigonometry
There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
42.5 (or 43)
Find the integral of
sin(x) / (1 + 4 cos(x))3
1/8 (1 + 4cos(x))-2 + C
Which country created the number 0?
India
One item costs d dollars, and a second item costs 2d dollars. If I get a 4% discount on the first item, and a 10% discount on the second, what is my overall discount?
What is the mathematical study of the rate of change of quantities?
Calculus
I am an odd number. Take away one letter and I become even. What number am I?
Seven
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Use A = LW
140 cm2/s
What is the oldest form of math?
Counting
Diego buys 2 gal of gas and 2 qt of oil. A gallon costs $1.20 more than a quart of oil; the price per qt of oil is 60% of the price per gal of gas. How much does Diego pay?
$9.60
The study of solving for equations that relate one or more unknown functions and their derivatives
Differential Equations
Using only an addition, how do you add eight 8’s and get the number 1000?
888 + 88 + 8 + 8 + 8 = 1000
Find the nth term
{-3, 2, -4/3, 8/9, -16/27...}
an = (-1)n * ((2n-1) / (3n-2))
What is the sum of the interior angles of an octagon?
1080
Ed has an equal number of dimes and nickels and no pennies. After spending 15 cents, he has twice as many dimes as nickels. How many nickels did he have originally?
6
The study of equations and their representations in vector spaces through matrices
Linear Algebra
A man is climbing up a mountain which is inclined. He has to travel 100 km to reach the top of the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top?
99 days