I am in confidence with Taylor expansion of function $f\colon R \to R$, but I when my professor started to use higher order derivatives and multivariate T...

What's the importance of the trig angle formulas, like the sum and difference formulas, the double angle formula, and the half angle formula? I under...

If $\int_a^b e^{cosx}(380-x-x^2)dx$ attains its maximum value for some $(a,b)$ such that $a\leq b$, then the value of $b-a$ is? My attempt Factorized the ...

Can someone please solve following problem. Show that $9^n-2^n$ for any $n$ natural number is divisible by $7$. ($9 ^ n$ = $9$ to the power of $n$). I kno...

I'm teaching myself math. I was working on $y = -x^2 + 8x$ and I used the quadratic equation to determine the x-coordinates. I ended up with $(0,0)$ ...

[Throughout we're considering the intrinsic version of the covariant derivative. The extrinsic version isn't of any concern.] I'm having tr...

Although I know the following property to be true and use it extensively $$\int_{a}^{b}f(x) dx= \int_{a}^{c}f(x) dx + \int_{c}^{b}f(x) dx$$ I'm tryin...

Dummit and Footes definition of solvable groups is $G$ has a chain of subgroups: $1=N_0\trianglelefteq N_1 \trianglelefteq N_2 \trianglelefteq \dots \tria...

(a) Show that $\frac{4-3x}{(x+2)(x^2+1)}$ can be written in the form ${\frac{A}{x+2} + \frac{1-Bx}{x^2+1}}$ and find the constants $A$ and $B$. (b) Hence ...

I'm taking a Discrete Math course this fall and am very familiar with most of the notation until we got to a certain point in propositions. At the be...