# All Questions

171 views

### Eliminate the parameter and sketch the curve

The question is (in parametric equations): $$x = 2\sin(t)$$ $$y = \cos(t)$$ for $0 \le t \le \pi/2$ I need to eliminate the parameter and the sketch the curve... any ideas?
392 views

### How to find the $\arcsin 2$?

How would I find $\arcsin 2$? I'm helping my little sister with her calculus "pre-test" before classes begin, and I don't remember how to do it in order to explain to her. Help?
1k views

### Using distance formula to find slope, any reason to use the concluding equation?

So, today I was observing a class that I will be a TA for this semester and the professor started to talk about the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Well, my mind wandered a little ...
899 views

### How to find ALL cluster points of a sequence?

The task of finding a limit point of a sequence is 'simple'; if the sequence converges, we locate the limit point by inspection and proved that it the sequence converges to that point. By uniqueness, ...
435 views

### Derivative of a matrix norm

Consider the function $V:\mathbb{R}\to\mathbb{R}$ given by $$V(t)=\|I - e^{At}\|^2$$ where $I$ is the identity matrix and $A$ is a square matrix. The norm is the Euclidean norm on ...
183 views

### canonical divisor of $B=\left \{ w_{0}^{3}+w_{1}^{3}+w_{2}^{2}w_0 =0\right \}$?
Help me please! How can I find any canonical divisor of $B=\left \{ w_{0}^{3}+w_{1}^{3}+w_{2}^{2}w_0=0 \right \}\subseteq \mathbb{P}^{2}$? Thanks in advance.
Suppose we are given a sequence of nonnegative real numbers: $$a_1\geq a_2\geq a_3\geq\dots\geq 0$$ such that $$\lim_{n \to \infty} a_n=0.$$ Assume that \lim_{k\to\infty} (a_{n_k}\ln ...