Calculus

Hi,I need help doing a mechanical worksheet with the help of answers and workings out. please view and let me know if any issues. thank you

I'll admit I'm not the best when it comes to calculus.  Anyway, I'm trying to model how close two nuclei will get to each other for a given starting velocity.  Since they're charged particles, the for...

Hi,  I need help to finish this last question on my paper.im struggling to extract the information to plug into equations.any help will be fantastic.tbank you.

6 sections, 1 question each, (5) included attachments:need work with all steps (clearly) included

A potter makes five pots a day. Each pot requires one unit of clay. In addition to the material cost, she has the following costs for the clay: - A one-time cost of M dollar for each delivery. - A war...

Applied calc question 2 and 3 

I need an calculus question answered all needs answering thanks in advance!

Given Φ(u, v) = (u + v, u, v), 0 ≤ u ≤ 1, 0 ≤ v ≤ 1.a) find the superficial area of Φb) evaluate the integral ∬ Φ xyzdS.given S the part of the cone parameretized by                   x = r cos(θ), y...

The problem is in the files attached.I have been given the coordinates of the raindrops both start and end.My question is how do I obtain the angle, and after that how do I arrange the equation to get...

My instructor told us that the integral of square root of tangent can be evaluated. How can one really do it? 

Let $M\subset\mathbb{R}^n$ of class $C^k$ and dimension $m$. Show that the set $TM=\{(p,v)\in\mathbb{R}^n\times\mathbb{R}^n;p\in M, v\in T_pM\}$ is a submanifold of class $C^{k-1}$ and dimension $2m$...

Please can answer the questions on the attachment 

Please can answer the question on the attachment 

Find the colume of the solid obtained by rotating the graph of the function $y=\sin x$ around $x$-axis between $x=0$ and $x=\pi$.

Find the amount of work needed to pump water out of full spherical tank (see attached),

The cross sectional area of a rod has a radius that varies along its length according to the formula r = 2x. Find the total volume of the rod between x = 0 and x = 10 inches.

The volume of a spherical tank with radius = r is expanding in such a way that r is increasing at 1 cm/min. At what rate is the volume expanding when r = 100 cm?

Find the limit as x --> +inf

Find the limit as x-> 0 for y = (e^x- 1)/[sin(nx)]a. Using L’Hopital’s ruleb. Using the series approximation of e^u = 1 + u and sin(u) = u for u << 1

You have 100 feet of cardboard. You need to make a box with a square bottom, 4 sides, but no top. (a) What is the volume of the box in terms of its height H and its bottom side S? (b) What is the area...

Questions found on the image.

Questions are found on the image.The point (x,y) is the endpoint of the angled 3-unit line segment (on the right). Imagine if the figure were plotted on a coordinate plane, the origin would be where t...

(a) Find the coordinates (x,y) which will make the rectangular area A = xy a maximum.(b) What is the value of the maximum area?

a) What is the limit of $x^{-1} \sin(x) $ as x -> 0? Show all steps in deriving the limit.b) What is the limit of $\tfrac{\ln(x)}{1-x}$ as x-> 0? Show all steps in deriving the limit.

I have two questions attached, the fact that the function is f(x) but the variables are t is throwing me off.Also, does the derivative cancel out the integral and just leave the function as is?I appre...