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Day 50!
A cylindrical tank has a radius of 5 meters and a height of 10 meters. It is initially empty. Each day, the tank is filled with water at a constant rate of 0.5 cubic meters per hour. At the same time, water is drained from the tank at a rate of 0.3 cubic meters per hour. Can the tank ever be completely filled, or will it always be partially empty? If it can be filled, how long will it take to fill the tank?
Due to some unfortunate circumstances I've had to continue this in Venoms DMS, now I can continue here.. Even though there's not much remaining
Day 49 of commenting complex math but it gets harder each day
Solve for x:
log(base 2)(x^2 - 3x) > 0
I feel like somebody's watching meeee!!
It's time to spam your profile with complex math and getting me forum banned LMAO jk <3
Day 18 of commenting complex math but it gets harder each day
Find the magnitude and direction (in degrees) of the vector:
v = <3, 4>
Day 17 of commenting complex math but it gets harder each day
Solve the differential equation:
dy/dx = 2x^2 + 3x, given that y(0) = 1.
Day 16 of commenting complex math but it gets harder each day
Determine the cross product of the vectors:
a = <1, 3, -2>
b = <2, -1, 4>
Day 15 of commenting complex math but it gets harder each day
Evaluate the double integral:
∬(2xy + 3) dA, where the region R is bounded by x = 0, x = 1, y = 0, and y = 2.
Day 14 of commenting complex math but it gets harder each day
Find the Maclaurin series expansion of the function:
f(x) = sin(x)
Day 13 of commenting complex math but it gets harder each day
Simplify the expression:
(1 + i)^3
Day 12 of commenting complex math but it gets harder each day
Determine the eigenvalues and eigenvectors of the matrix:
| 4 -1 |
| |
| 2 3 |
Isn't math so fun... Like a puzzle, right? Don't you like puzzles? Mrs Venemous Lememous Man.. I've heard you love puzzles, especially ones about a myth called The Braincell Man. ;D
Day 11 of commenting complex math but it gets harder each day
Solve the system of equations:
3x + 2y = 7
x - y = 1
Day 10 of commenting complex math but it gets harder each day (ggs, I haven't forgotten yet...)
Find the value of t that satisfies the equation:
2^(3t) = 8^(t + 1)
Day 9 of commenting complex math but it gets harder each day
Evaluate the following limit:
lim(x -> 0) [sin(x) / x]
Day 8 of commenting complex math but it gets harder each day
Simplify the logarithmic expression:
log(base 3)(27) + log(base 2)(8) - log(base 4)(2)
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