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In the second part to this question, the solution uses the product rule to express the partial derivative of f with respect to y in another form. Why is t...
I found a well known theorem that if $A,B, C$ and $D$ are on the circumference of a circle and $AB\cap CD=P$ then $AP\cdot BP=CP\cdot DP$ . Is there anyth...
![Ideal in Q[x] is equal to Q[x]](https://news.conceivablytech.com/uploads/ideal-in-q-x-is-equal-to-q-x_720.jpg)
Show that the ideal $(x+1, x^2 + 1)$ in $\mathbb{Q}[x]$ is equal to $\mathbb{Q}[x]$. I've never dealt with ideals in spaces of polynomials, I know th...
In the decimal system: $...-3, -2, -1, 0, 1, 2, 3...$ In the binary system: $...-11, -10, -1, 0, 1, 10, 11...$ In the unary system: $-111, -11, -1, \text{...
Why use CPCTC (Corresponding Parts of Congruent Triangles are Congruent) instead of just "Definition of Congruent Figures" especially since definitions ar...
I was solving exercises of pre calculus book when I came up with a question which asked me to find the implied domain. Please can anyone tell me? What...
For example, let's say I wanted to denote any arbitrary, $2$ number combination of the letters, A, B and C. So you can have AB, AC, and BC. Say you w...
![Is this element a subset of set A? [duplicate]](https://news.conceivablytech.com/uploads/is-this-element-a-subset-of-set-a-duplicate_720.jpg)
Let $A$ be the set $\{\propto,\{1,\propto\},\{3\},\{\{1,3\}\},3\}$. The statement "$\{1,\propto\}\subseteq A$" is false. (Taken from A Concise Introductio...
I need help with the following question: Find the orthogonal trajectories of the family of curves for $x^2 + 2y^2 = k^2$ I have taken the following steps,...
Can someone please help me out with what it means when a symbol says "max+-" or "min+-"? I'm assuming that there is no difference between "max+-" and...
