Podcast
Questions and Answers
What is the derivative of the function $f(x) = x^2 \sin(x)$?
What is the derivative of the function $f(x) = x^2 \sin(x)$?
- $2x \sin(x) - x^2 \cos(x)$
- $2x \sin(x) + x^2 \cos(x)$ (correct)
- $x \sin(x) + x^2 \cos(x)$
- $x \sin(x) - x^2 \cos(x)$
If $P(2,3)$ and $Q(4,5)$ are two points on the coordinate plane, what is the equation of the line perpendicular to the line $PQ$ and passing through the midpoint of $PQ$?
If $P(2,3)$ and $Q(4,5)$ are two points on the coordinate plane, what is the equation of the line perpendicular to the line $PQ$ and passing through the midpoint of $PQ$?
- $3x - 2y = 1$
- $2x + 3y = 13$ (correct)
- $x - 2y = -3$
- $3x + 2y = 17$
What is the value of $^3C_2$?
What is the value of $^3C_2$?
- 2
- 3
- 6 (correct)
- 9
What is the equation of the circle with center $(2,3)$ and radius $4$?
What is the equation of the circle with center $(2,3)$ and radius $4$?
What is the value of $\log_a{a^5}$?
What is the value of $\log_a{a^5}$?
What is the minimum value of the function $f(x) = x^2 + 2x + 2$?
What is the minimum value of the function $f(x) = x^2 + 2x + 2$?
If $A$ and $B$ are two points on the coordinate plane with coordinates $(3,4)$ and $(5,6)$ respectively, what is the distance between $A$ and $B$?
If $A$ and $B$ are two points on the coordinate plane with coordinates $(3,4)$ and $(5,6)$ respectively, what is the distance between $A$ and $B$?
What is the equation of the tangent line to the curve $y = x^3 - 2x + 1$ at the point $(1,0)$?
What is the equation of the tangent line to the curve $y = x^3 - 2x + 1$ at the point $(1,0)$?
What is the value of the expression $^6C_3 \div ^6C_2$?
What is the value of the expression $^6C_3 \div ^6C_2$?
What is the sum of the first 10 terms of the arithmetic series $2 + 5 + 8 + 11 +...$?
What is the sum of the first 10 terms of the arithmetic series $2 + 5 + 8 + 11 +...$?
