So, I need to verify whether or not the average velocity of an object going down an inclined ramp is equal the instantaneous speed of the object in the mi...

I think $\frac{d}{dx} \int f(x) dx = f(x)$ right? So $\frac{d}{dx} \int^b_a f(x) dx = [f(x)]^b_a = f(a)-f(b)$? But why when: $$f(x) = \int^{x^3}_{x^2} \sq...

I have two points A(1, 2) and B(3, 4) and vector AB between them. How can I find the direction of a vector? I do not know if direction is appropriate word...

I have attempted to convert to cylindrical coordinates and have gotten to the equation r*sqrt(4r^2+1) but I am unsure of how to set up the triple integral...

Suppose I have a convex set $S\subset \mathbb{R}^2$ of unit area. In fact, I have two congruent copies of $S$ which I would like to bundle together with a...

Of the following which is the best approximation of $\sqrt{1.5}(266)^{\frac{3}{2}}$? (A)1,000 (B)2,700 (C)3,200 (D)4,100 (E)5,300 How can I answer this wi...

I really like abstract algebra and I have come to appreciate graph theory more and more. I would like to check out algebraic graph theory to see what it&#...

Please, I have tried some methods of induction but I can't resolve. Sorry for my english. I cannot complete to prove. I haved factoring, dividing, ad...

The 2D rigid body transformation matrix I'm concerned with is in homogeneous representation, hence the form: \begin{bmatrix} \textbf{R} & \textbf...

I have a set of values $$\begin{array}{|c|c|} \hline\text{$X$} & \text{$Y$} \\ \hline 1 & 2 \\ \hline 2 & 10 \\ \hline 3 & 30 \\ \hline 4 ...