Equations
2x+3=7
x=2
x3⋅x4=?
x7
f(x)=3x2
f'(x)=?
f'(x)=6x
If a car travels at 60mph for 3 hours, how far does it travel?
180 miles
What is the value of Pi rounded to 2 decimals?
3.14
x2-5x+6=0
x=2,3
5x=125
x=3
f(x)=e3x
f'(x)=?
f'(x)=3e3x
A rectangle has a length of 5 cm and a width of 3 cm. What is its area?
15cm2
If you were to multiply all the numbers on a telephone’s keypad, what number would you get?
0
3/x+2/x=5
x=1
33x=81
x=4/3
f(x)=ln(x)
f''(x)=?
f'(x)=1/x
f''(x)=-1/x2
A tank is being filled with water at a rate of 5 cubic feet per minute. If the tank’s volume is 200 cubic feet, how long will it take to fill the tank?
40 minutes
What branch of mathematics gets its name from an Arabic word meaning “reunion of broken parts,”, and was coined in the book “The Science Of Restoring And Balancing” by the 1st century AD mathematician al-Kwarizmi?
Algebra
Solve for y
2x+3y=12 and x-y=1
y=2
ln(e5x)=25
If f(x)=int[0,x3](1/1+ln(t))dt for x>1
Then f'(2)=?
1/1+ln(8)
A rectangular swimming pool is 3 meters longer than it is wide. If the perimeter of the pool is 30 meters, what are the dimensions of the pool (length and width)?
Length = 9m
What famous formula, often regarded the most beautiful equation in mathematics, combines five fundamental mathematical constants and is attributed to Euler?
eiπ +1=0
y'-x=2xy
y=1/2(Cex^2-1)
ln(2x2+6)=ln(-8x)
x=-3,-1
Differentiate with respect to x
f(x,y)=x2y+3xy2-4y
2xy+3y2
The height h of a projectile at time t is given by h(t)=−16t2+32t+128. Find the maximum height in feet.
144 feet
What is the largest prime number less than 100?
97