Aug 29, 2020 · Given a reciprocal squared function that is shifted right by $3$ and down by $4$, write this as a rational function. I am uncertain how to denote this. My attempt: $$\\frac{1}{x^2-3}-4$$ But I need to

For instance the reciprocal of sin(x) seems to remain an odd function as well as all the other trigonometric functions. Would the be the case for all functions? If so how would you prove so?

Jun 30, 2022 · I was recently interested in whether there exists a closed-form solution for the position of an object (say a spacecraft) in freefall as a function of time. To complicate things, I wanted to take into account the increase in acceleration as you get nearer to the surface. The differential equation is straightforward:

Nov 27, 2021 · The derivative of the reciprocal of squared L2 norm ... The reciprocal is not the same as the inverse. For ...

Mar 20, 2015 · for the original function $\frac 1x$ $\int_b^1 \frac 1x\,dx$ is $-\ln b$, not $\frac 1{b^2}-1$, as you wrote in your second gray box. However, with that correction, you still get an integral of $\infty$.

How do you go about integrating the reciprocal of a quadratic when it cannot be factorised (ruling out the use of partial fractions)? E.g. $$\\int \\frac{1}{x^2-x+1} dx$$

Apr 18, 2019 · Finding the range of a reciprocal quadratic graph. Ask Question ... Anyway, here is the graph of the function.

Feb 8, 2011 · The pdf of a chi-square distribution is $$\frac{1}{2^{\nu/2} \Gamma(\nu/2)} x^{\nu/2-1} e^{-x/2}.$$ So you want to calculate $$\int_0^{\infty} \frac{1}{x} \frac{1}{2 ...

limit of reciprocal of function. Ask Question Asked 10 years, 2 months ago. Modified 10 years, 2 months ago.

Feb 28, 2017 · $\begingroup$ And I prefer "modulus. When you write your answers, you should use "absolute value", though, and I promise not to complain.