Calculate the smallest angle in a triangle with side lengths 7 cm, 8 cm and 9 cm. A. 35∘ 20′ B. 58∘41′ C. 60∘ D. 48∘19′ do i need Trigonometric ratios table?
Write down the set of distinct solutions and prove your list is complete. $x$ and $y$ are positive integers. I have rewritten it as $\frac{(x+y)}{xy} = \f...
I am following Nocedal and Wright's Numerical Optimization book for self study. In the Appendix section of the book, the following matrix norms are d...
So here is Question :- A triangular grid of side $n$ is formed from $n^2$ equilateral triangles with sides of length $1$.Determine the number of parallell...
Find the angles of an inscribed trapezoid (in a circle) $ABCD$ ($AB||CD$) if $\angle ABD = 63^\circ$. Any trapezium in a circle is an isosceles trapezium,...
It's unusual that I have to ask for a definition on this site, but it in the context of spin structures, it seems common to talk about double covers ...
Suppose we have a stochastic process which is written as an Ito process. $$dX_t=\mu_t\ dt +\sigma_t\ dB_t$$. If $Y_t$ is defined as a stochastic process a...
You set the following exercise to your calculus class: Q1. Differentiate $y(x) = x^x$. A student submits the following solution: Let $g(a)=a^x$ and $f(x)=...
These concepts are currently confusing me. My reading first defined a normal subgroup as one that is the kernel of a group homomorphism. Then it introduce...