$100$ dices are thrown.How many are expected to fall either a $3$ or $6?$ Now expectation means, sum of values of dice , divided by number of possible out...
A mould for a circular fish pond is made by rotating the region bounded by the curve$ y = 2-\cos^2 x$ and the $x$-axis between $x = \displaystyle -\frac{\...
I need to get the equation of a parabola, i have 2 points and a slope The 2 points are as follows: A = (8, 2.912) B = (16, 2.912) Slope = 0.364 The slope ...
I have a question regarding the computation of a hyperplane equation (especially the orthogonal) given n points, where n>3. For lower dimensional cases, t...
when do we have to look for a constant solution to the differential equation? Example: Solve the initial value problem $\frac{dy}{dx} = \frac{2}{\sin y}$ ...
Given $a_n, b_n$ such that $\exists N \forall n>N a_n, b_n \geq 0$ I want to show that if $\sum_{n=0}^{\infty}a_n$ and $\sum_{n=0}^{\infty}b_n$ converg...