Derivatives
f(x) = 2x
2
Integral of x dx
x2/2 + C
If an individual made a base rate of $80 per day and an additional $15 for every pairs of shoe that they sold. What equation would model their daily income.
y = 15x + 80
This children's TV show featured the title monkey character and the Man with the Yellow Hat.
What is Curious George?
Last year, these two rappers sparred in a rap battle for the ages, but I think we can all agree the one who got to play the 2025 Super Bowl won.
Who are Kendrick Lamar and Drake?
f(x) = ln(x)
1/x
integral of 2dx from 0 to 2
how would you model an initial investment of of $5000 with 4.02% interest rate compounded monthly for 10 years.
7469.037
Cardi B's first hit was this 2017 song where she proudly proclaims that she now make "money moves."
What is "Bodak Yellow"?
This rapper released the music video for "Denial is a River" in January 2025, inspired by '90s sitcoms.
Who is Doechii?
f(x) = sinxcosx
cos2x - sin2x
integral of cos(x)
sin(x)+C
How would you model an investment of 8000 which was compounded continuously over 15 years at an interest rate of 5.04%
I = 8000e.0504*15
This Beatles song begins "In the town where I was born, lived a man who sailed to sea"
What is "Yellow Submarine"?
In The Summer I Turned Pretty, the main character, Isabel, goes by this nickname.
What is Belly?
f(x) = ln(x)/cos(x)
[cos(x)(1/x)-ln(x)(-sin(x))]/cos^2(x)
integral of 1/(x-5)
ln|x-5|+C
If you knew that acceleration was the derivative of velocity which is time dependent. How can you express the acceleration as a differential equation?
a = dv/dt
This sometimes bright yellow gastropod that can grow up to 9 inches long gets its name from a fruit.
What is a banana slug?
Who is Trisha Paytas?
f(x) = [cos(x)/sin(x)] + ln(x)/x
[sin(x)(-sin(x))-cos(x)(cos(x))]/sin^2(x) + [(x/x)-lnx]/x^2
integral of sin(x) from 0 to pi/2
1
How would you model a population y which grows or decays in proportion to its size with a diff eq.
y'=ky
In this short story by Charlotte Perkins-Gilman, a woman deemed "hysterical" by her husband begins to see things when she is confined to a room as part of a "rest cure."
What is "The Yellow Wallpaper"?
This film took home the Oscar for Best Adapted Screenplay in 2025, a little over a month before the title event took place after Pope Francis' death.
What is Conclave?