CALCULUS!
Find the derivative:
f(x) = 3/x + 4x5 + 6ln(x) + cos(x)
-3x-2 + 20x4 + 6/x - sin(x)
There 4 positive integers A, B, C, and D. We know AB = 16, BC = 14, and CD = 63. What is A + B + C + D?
26
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 20% of 185?
37
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.
You throw three fair dice consecutively. What is the probability that you obtain three numbers in strictly increasing order?
5/54
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 bigger 33^3^3 or 69!
33^3^3
I am an odd number. Take away one letter and I become even. What number am I?
Seven
Find the integral of
sin(x) / (1 + 4 cos(x))3
1/8 (1 + 4cos(x))-2 + C
What is the probability of drawing 4 of a kind from a standard 5-card hand?
624/2598960 = 0.024%
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 1848/24
77
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)
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
An electronic safe has a three-digit code. You are given two hints regarding the code to the safe:
How many possible three-digit entries satisfy these two requirements?
120
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
What is 742?
5476
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 expected number of cards you need to draw from a 52-card deck before you see the first ace?
48/5 + 1 = 10.6
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
What is (87 x 53) / 3?
1537
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