Calculus in Music
The pitch of a note is referring to what part of the wave?
The frequency
What is the derivative of
11x2 + 15x - 5/x
22x + 15 + 5/x2
What is the integral of 10/x + 10/(x2)?
10ln(x) -10/x + C
Which series converges as n approaches infinity
A) 5(1.4)n B) 1/n0.7 C) 300/n1.5 D) 0.1(2.1)n
C) P-series
Who was our fourth president?
James Madison
What is the term used to refer to a tone with varying volume?
Amplitude modulation
What is the derivative of
sin-1(5x) + cos-1(5x)
0
What is the integral of (x2+4)/x2
x - 4/x + C
What converges conditionally as n approaches infinity
A) ((-1)n/n) B) (1/n) C) ((-1)n/n2) D) 5
A)
What's America's biggest state? (by size)
Alaska
What branch of mathematics is used to approximate piecewise waveforms using basic trigonometric functions?
Fourier analysis
Find the points on the graph of x5/2+ y5/2= 1, where the slope of the tangent line is -1
y' = -x3/2/ y3/2
Find the integral of 1/(x1/2(x+1))
2tan-1(x1/2) + C
If a is a non zero number and r is a real number with 0<|r|,1 what is the value of
((∞)sum(n=0) arn) - ((∞)sum(n=1)arn)?
a
All the following countries use the word "pan" to refer to bread except for...
A) Japan B) Spain C) Germany D) Portugal
C) Germany
What is the upper hull function of the following waveform:
t sin(2pi * 440t) + t2 sin(2pi * 440t)
t + t2
Find the derivative of y = (1/5)sec-4(4 + x3)
(-12x2/5)sec-4(4+x3)tan(4+x3)
Find the integral of x3ex^2
1/2(x2ex^2 - ex^2) + C
Does the series enn!/nn as n approaches infinity:
Converge or Diverge
Diverges
Are there more Wheels or doors?
Wheel — Anything that can be thought of as a physical wheel is considered a wheel (wheels for transportation, toy wheels, wheels on appliances, shopping carts, wheels within machines, etc).
Door — Anything that can be thought of as a physical door is considered a door (car door, house door, cabinet door, locker door, etc).
Wheels
Write the function for a sawtooth wave with frequency 520 Hz and an initial amplitude of 20 dB, given that the rate of change of A is 1 dB/s.
2(20 + t) mod(520t, 1) - (20 + t)
What is the derivative of xx (Must have a ln(x) in your answer)
(ln(x) + 1)xx
Find the integral of 1/(x2-x+1)
(3*31/2/8)tan-1(2/31/2(x-1/2)) + C
find the limit as n approaches infinity of (n!)1/n/n
e-1
How many sides does a icosagon have?
20