Pre-Calc
Name the 3 log rules
1. log(AB) = log(A) + log(B)
2. log(A/B) = log(A) - log(B)
3. log(A^n) = n*log(A)
What defines whether or not a function is continuous?
Bonus: When does a function have a REMOVABLE discontiuity
1. The limit as x approaches a equals f(a)
2. When the limit exists at x = a, whether or not it's equal to the function value
Find the derivative with respect to x;
arctan(x)
1/(x^2 + 1)
Name the formulas for the following;
Area of a half circle
Area of a rectangle
Area of a triangle
1. 0.5(pi)r^2
2. length*width
3. 0.5(length*width)
What three classes do I tutor in during the semester (fall and spring)
Algebra 2, Pre-Calc, Calculus I
Expand;
log(x^5*sqrt(y))/z)
5*log(x) + 0.5*log(y) - log(z)
Find the limit as x approaches 3;
f(x) = (x^2 - 9)/(x - 3) + 61
⁶🤷⁷
Find the derivative of csc(x)*sin(x)
0
What is the formula for the area under a curve?
(aka Fundamental Theorem of Calculus)
integral(a, b) (f(x)) dx = F(b) - F(a)
where d/dx(F(x)) = f(x)
Who are my suitemates?
(One math, 2 science)
Kevin T, Jerry, and Diego
Find the value of sin(arcsin((Pi)/2))
(Pi)/2
Find the limit as x appoaches infinity of f(x);
f(x) = 1900
1900
Find the derivative of h(x);
h(x) = sqrt(x) - 8cbrt(x) + 4qrrt(x)
h'(x) = (1/sqrt(x)) - (8/3cbrt(x^2)) + qrrt(x^3)
Find the integral(0,ln(4))(f(x))dx;
f(x) = e^x
3
Name 3 different colors of hats that I've worn (besides the one that I'm wearing right now)
1. Navy (2 different hats)
2. White
3. Dark grey
4. Light grey
Solve for x;
log(base 2)(3x+6) - log(base 2)x = 3
x = 6/5
lim(x->c) f(x) = 4 and lim(x->c) g(x) = -3
Find lim(x->c) [3f(x)*2g(x)]
-72
Differentiate with respect to x;
3x^2 +4xy = 420
(dy/dx) = (-6x - 4y)/4x
Find intergral(IND)(9x^2)dx - 15x + 2
3x^3 - 15x + 2 + C
What instrument section am I in the Spirit of Stony Brook Marching Band
Drumline!!!
What are the number of solutions to the equation;
sin 2x = -2
Zero; The output of sin/cos must be between (-1, 1)
Using either limit definition of a derivative, find f'(2);
f(x) = 2x^3 - x
f'(2) = 23
Find if h(t) is concave up or down at t = -1;
h(t) = 6(t)^3 - 9t + 25
Concave down;
h''(-1) = -36
Find integral(0,2)(g(x))dx;
g(x)=sqrt(4-x^2)
Pi
Name 3 artists/bands in my Spotify "On Repeat"
*6 attempts OR Roll for Points*
J. Cole
Kendrick Lamar
My Chemical Romance
blink-182
Lomiiel
Daddy Yankee
MF Doom