general
Why must the probability of an event be between 0 and 1?
Let me put it in this way: Define A= Head turned up, B= Tail turned up If I toss a coin, it is natural to say that the probability of A and B is $P(A)=P(B...
Apr 20, 2026
Archive: General
general
Strategies to guess choices for multiple choice questions
Multiple choice questions (MCQs) are common in examinations over here in Singapore. A set of, say, $40$ questions are given to students, and each is accom...
Apr 20, 2026
general
Converting a graph into a function
Is is possible to convert this graph into an function of t(time), if what are the appropriate steps to do this? Any help point in the general direction wi...
Apr 19, 2026
general
Ti-nspire CX Wrong Derivative?
I have this equation: $y=Cxe^{-2x}$ I worked out the first derivative and checked with wolfram alpha to get: $y=Ce^{-2x}+-2Cxe^{-2x}$ But when I try and g...
Apr 19, 2026
general
Comparing large exponents
Without calculator, I have to determine which of the following is larger: $2^{350}$ or $5^{150}$ I know only very basic exponential laws, and haven't...
Apr 19, 2026
general
What exactly is the group law?
is it the operation symbol? is it the equation that defines that symbol? (such as $a\star b=a+b+ab$) or what is it if it's none of the above
Apr 19, 2026
general
maximized profit w/ a cost & demand function
I'm having trouble with this problem: If $C(x) = 14000 + 500x − 4.8x^2 + 0.004x^3$ is the cost function and $p(x) = 4100 − 9x$ is the demand function...
Apr 19, 2026
general
How to find the square root of a polynomial?
Here, by the word polynomial, I am referring to those polynomials, who have a square root in simple algebraic expressions. But how to get the intuition, o...
Apr 19, 2026
general
Find $y'$ if $\sin(x+y) = \cos(xy)$
Find $y'$ if $\sin(x+y) = \cos(xy)$. I got ${-\cos(x+y)\over \sin(xy) * (x+y)}$. Please use Implicit Differentiation. Did I get the answer right?
Apr 19, 2026
general
Proof that $A\cap B$ and $A-B$ are disjoint
119. Prove or disprove that $A\cap B$ and $A-B$ are disjoint: Consider that $A\cap B=\{x|x\cap A\text{ and }x\cap B\}$ and that $A-B=\{x\in A|x\notin B\} ...
Apr 19, 2026
