Consider the equation $x^2 - 5x + 6 = 0$. By factorising I get $(x-3)(x-2) = 0$. Which means it represents a pair of straight lines, namely $x-2 =0 $ and ...

Can someone check this for me, please? The exercise is just to find a expression to the nth derivative of $f(x) = e^x \cdot \sin x$. I have done the follo...

Let $G$ be a group and $a\in G $ be any non identity element i.e. $a\neq e$. Define a binary composition ( operation ) $\star$ such that $\langle G,\star ...

Request Please check my work. I am not certain how to calculate the convolution of the unit step function. Given: Find the convolution of $f(t)=t$ and $g(...

From Introduction to Probability, 2ed (Bersekas et al), chapter 8.1 p. 417: I would like to ask where the underlined formula comes from. So far, the formu...

I have been trying to prove this identity for about 25 minutes and I can't figure it out. Can you help me please? $$\cos x(\sec x-\cos x)=\sin^2x$$

How can I know that the graph is symmetric with respect to the x axis or y axis? $y=x^4-2x^2-21$ $9x^2+4y^2=36$ $y^2=x-4$

I'm majoring in computer engineering and I have Calculus 2 coming up this semester. From what I understand, Calculus 2 is the most difficult math cla...

I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\langle 1\rangle$ under the binary operation of addition....

When rolling two dice, which of the following events are independent of the event that the first die is 4: (a) The second is 2 (b) The sum is 6 (c) The su...