Recent content by askor

What does it mean? I don't understand.

Does the Truth Table is included in Symbolic Logic?

Hello, anybody home? Can someone please answer my question?

Can someone please tell me what math is this (see below pic)? For example: algebra, calculus, etc.

Can I modify the result such as ##\theta = \cos^{-1} (\sqrt{1 - x^2})##, so that the final result will be ##\frac{1}{2} \cos^{-1} (\sqrt{1 - x^2}) + \frac{1}{2} x \sqrt{1 - x^2} + C##?

Why ##|x|\leq 1.##?

Does my below integration is correct? ##\int \sqrt{1 - x^2} \ dx## Let ##x = \sin \theta##, then ##dx = \cos \theta \ d \theta##, ##\cos \theta = \sqrt{1 - x^2}##, ##\theta = \sin^{-1} (x)## ##\int \sqrt{1 - x^2} \ dx## ##= \int \left( \sqrt{1 - \sin^2 \theta} \right) \ \left( \cos \theta \...

I would like to buy a Fundamentals of Fluid Mechanics for Engineer textbook. I have 2 options, they are: 1. https://www.amazon.com/dp/0133521702/?tag=pfamazon01-20 2. https://www.amazon.com/dp/0132788128/?tag=pfamazon01-20 Can someone please tell me which one of above Fluid Mechanics textbook...

This is the original problem of what I asked: How do I draw the V shear and M moment graph like above?

Yes, I learned calculus of differentiation and integration.

How do you draw the graph of ##y = 9x - \frac{x^3}{9}##? I only know how to draw a graph of quadratic function. This function has a power of 3.

What math the drawing a graph, for example: y = x^2, is taught? Is it algebra, calculus, or any other else? Thanks

How do you you integrate expressions like these? 1. ##\frac{1}{\sqrt{x^3 + 3}}## 2. ##\frac{1}{\sqrt{x^4 + 3}}## 3. ##\frac{1}{x \sqrt{x^5 + 3}}## 4. ##\frac{1}{x^2 \sqrt{x^3 + 3}}## 5. ##\frac{1}{x^3 \sqrt{x^3 + 3}}## 6. ##\frac{1}{x^4 \sqrt{x^3 + 3}}## 7. ##\frac{1}{x^5 \sqrt{x^3 + 3}}##...

Thank you very much, now I understand. So the final result is ##\frac{\sqrt{3}}{3} \tan^{-1} \left( \frac{\sqrt{3}x}{3} \right) + C##

I know, but I am still don't understand what should I do with the theta.