Area Definition and 1000 Threads

I do curbside/drive-up pick-up service from various businesses. I order on their app. They pack it and when I arrive to the store, they put it in my trunk. No contact. I never have to roll down my window even. I let the groceries (non-refrigerated) or retail goods sit in the trunk for a...

I know he had this ratio: But how did he get this: ?

If the area of R is equal to 2 m^2 and the volume of R is equal to 4pi m^3 when it's revolving on Y by using shell method. Find the volume of R when it's revolving on x=3 ? Can you please help me ? I have tried to do it many times but still got the wrong answer. Thank you in advance.

Can you please check it for me that I have done it wrong or not ? Thank you in advance.

The problem is to solve for the area R. Can you please help me ? I have tried to do it many times. Thank you in advice.

This is actually right at the start of another derivation, but I can't understand how the author gets the formula for ##q##. So the discharge per unit thickness is the circumference of the circle, multiplied by the velocity at that point (at ##r##)? I thought the formula for flow rate was...

Let's say we have a tank filled with water only half way up. I want to calculate the force being applied by the liquid on one of the walls, that's F = P.A. For the area (A), should I consider the area of the entire wall (H.L), or only the area of the wall that's in contact with the liquid...

Given two moving points $A(x_1,\,y_1)$ and $B(x_2,\,y_2)$ on parabola curve $y^2=6x$ with $x_1+x_2=4$ and $x_1\ne x_2$ and the perpendicular bisector of segment $AB$ intersects $x$-axis at point $C$. Find the maximum area of $\triangle ABC$.

Summary:: I think we are still in the earlier parts of Physics and I am confused at how "values" work for a velocity-time graph. We are using the formulas to solve an area of a triangle and rectangle to find the total displacement. If a diagonal line begins from above and continue to go down...

Hello all! It is so embarrassing to ask because I would think there is a trick to solve this problem without going through the trigonometric formulas like sine rule for example (because this is a primary math problem) but for some reason, I can't see through it...if you can solve it without...

Question:- Find the area of the figure given by the cartesian equation below: $$\frac{(x+y)^2}{16}+\frac{(x-y)^2}{9}=1$$ Solution given:- Let $x+y= 4\cos{\alpha},x-y=3\sin{\alpha}$ Then $x=\frac{4\cos{\alpha}+3\sin{\alpha}}{2}$ $\Rightarrow dx=\frac{3\cos{\alpha}-4\sin{\alpha}}{2}d\alpha$...

The answer learned in class is that the two 2*4s are able to distribute the load over both of them, but I don't think this is an actual answer because that's balanced by the fact that each block is half the area. Does anyone know of the reason for this observation? Thanks!

A coordinate system with the coordinates s and t in $$R^2$$ is defined by the coordinate transformations: $$ s = y/y_0$$ and $$t=y/y_0 - tan(x/x_0)$$ , where $$x_0$$ and $$y_0$$ are constants. a) Determine the area that includes the point (x, y) = (0, 0) where the coordinate system is well...

1. Using the formula for the arc length; s= θr I have endeavoured to find the angle AOB sine both the arc length and radius are known; 11= θ*8 θ=11/8=1.375 rad I actually do not think that this can be correct as it seem to simplistic a response. Have I misinterpreted the question or used the...

Most of the calculations that I have seen that measure the area of the Sky involve doing this: 2*pi*r = 360. => r = 57.295 degrees. And then 4*pi*(57.295)^2 = 41251.83 square degrees. Now the units check out fine, but here are the places where I am having trouble understanding this derivation...

the explanation about the question I got from internet is, A very small change in area divided by the dx will give the function of graph so anti-derivative of function of graph should be equal to the area of the function. It also seem quite obvious to me but I am not satisfied by it, It seems to...

A rectangular enclosure must have an area of at least 600 yd2. If 140 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie? Select one: A. 35 ≤ w ≤ 60 B. 10 ≤ w ≤ 35 C. 10 ≤ w ≤ 60 D. 0 ≤ w ≤ 10

1#Find the area of the region, enclosed by: 2#Find the area of the region bounded by: 3#in the region limited by: find the solid volume of revolution that is generated by rotating that region about the x axis

Hi all, I happened to see this primary 6 math geometry problem and thought it was a fun (not straightforward but not too hard) problem. Try it and post your solution if you are interested. (Cool) In the figure, not drawn to scale, $UX=XY=YT$ and $UV=VS$. Given that the area of triangle $XVU$ is...

Prove that for every $x\in (0,\,1)$ the following inequality holds: $\displaystyle \int_0^1 \sqrt{1+(\cos y)^2} dy>\sqrt{x^2+(\sin x)^2}$

I am trying to understand an excerpt from an article describing the vibrations of a string (eg. guitar/piano) which reads as follows: This is basically the wave equation with Δm representing a small piece of mass from an interval of the string and two forces added to the right side. He...

Good morning everyone. I'm working on some right-triangle trigonometry problems in the Cohen textbook as I wait to receive my Sullivan precalculus book. It should arrive next week. Suppose that theta = 39.4° and x = 43.0 feet. Find h and round answer to one decimal place. I found h to be 27.3...

Find the area of a triangle with angle 70° in between sides 6 cm and 4 cm. Solution: From the SOH-CAH-TOA mnemonic, I want the ratio of the opposite side (CD) to the hypotenuse (AC). I should be using the *sine* function, not cosine. Yes? SOH leads to sin = opp/hyp sin(70°) = CD/4 CD = 4...

Let $P$ be a real polynomial of degree five. Assume that the graph of $P$ has three inflection points lying on a straight line. Calculate the ratios of the areas of the bounded regions between this line and the graph of the polynomial $P$.

Recently, I was tasked to find the surface area of the Schwarzschild Black Hole. I have managed to do so using spherical and prolate spheroidal coordinates. However, my lecturer insists on only using Weyl canonical coordinates to directly calculate the surface area. The apparent problem arises...

This is the question. The following is the solutions I found: I understand that the first line was derived by setting one vertex on origin and taking the transpose of the matrix. However, I cannot understand where the extra row and column came from in the second line. Can anyone explain how...

Please help to see whether it's correct to do in this way

I am not clearly understand what the question requests for, is it okay to continue doing like this ? Kindly advise, thanks

A water drop of radius ##10^{-2}## m is broken into 1000 equal droplets. Calculate the gain in surface energy. Surface Tension of water is ##0.075 ~N/m##. So, for the solution of the above problem we need to know how much surface area (combining all 1000 droplets) have increased from the...

Summary:: Calculate the percentage of area remaining when a quarter-cirlce is deprived of 1 large circles and 2 smaller circles. Hi, I'm not sure if this is the right subforum for this question but it seemed to be the one that fit the best. Please consider the following diagram: Before...

The diagram below (which is not drawn to scale) shows a parallelogram. The area of the green regions are 8 unit² , 10 unit² , 72 unit² and 79 unit² respectively. Find the area of the red region. \coordinate (A) at (0,0); \coordinate (B) at (8,0); \coordinate (C) at (12,0); \coordinate (D) at...

By using PV=nRT formula, I have found the volume of the vessel. As far as I have learned to calculate the number of collision in a unit volume. So, it is being difficult for me to find the right way to solve. I searched on the internet and have got this...

Points $$P$$ and $$Q$$ are centers of the circles as shown below. Chord $$AB$$ is tangent to the circle with center $$P$$. Given that the line $$PQ$$ is parallel to chord $$AB$$ and $$AB=x$$ units, find the area of the shaded region in yellow. \draw [<->] (0.2,1) -- (5.8, 1); \begin{scope}...

Hi all, I hope this is the correct place to post this. Below is a section of a pipe. The pipe has a radius of 0.848 m. For this example, assume the pipe is buried below ground but a section of it remains exposed. The centre of the pipe is buried 0.590 mbelow the ground. If we assume the pipe...

My textbook says "A is the area of the circle enclosed by the current" (produced by an electron in a hydrogen atom), A = ##\pi r^2 \sin(\theta)^2##. I don't understand where the ##\sin(\theta)^2## comes from.

Hi to everyone, do you know the "One World Trade Center"? Well, I've to calculate two things about it: -The volume, according to its particular shape -The surface of the glass plates which cover the whole structure Searching on internet i found two dimensions: 1) Total height without...

I.m not absolutely sure if this comes under physics or maths, so apologies if I've put it in the wrong place. It is well known that if a sphere is exactly enclosed by a cylinder, the area of the curved surface of the cylinder is equal to hat of the sphere. Does this also apply if the cylinder...

Let R be the region in the first quadrant bounded below by the graph of $y = x^2$ and above by the graph of $y=x$. R is the base of a solid whose cross sections perpendicular to the x-axis are squares \item What is the volume of the solid? A 0.129 B 0.300 C 0.333 D 700 E 1.271ok I...

Hi, I have a problem with inclined planes. The idea is to calculate the stress in an inclined plane of a bar under tension for which you need the surface. I have no idea how this surface is derived, though. In the attached file, you can see what I mean. For a rectangular cross-section, it's...

Hi! I am trying to find the inner (r2) and outer radius (r1) of a hollow circle based on its second moment of area. I have the equation that I=π(r1^4-r2^4)/4. I think I need to use a simultaneous equation and then sub this in for one of the radii. However, I am unsure of another equation I could...

I attempted to solve this problem by finding the angles of an intersection point by equalling both ##r=sin(\theta)## and ##r=\sqrt 3*cos(\theta)##. The angle of the first intersection point is pi/3. The second intersection point is, obviously, at the pole point (if theta=0 for the sine curve and...

The title and summary pretty much say it all. I was wondering if it's possible to accurately determine the area enclosed by the curve ## y=x \text{ csch}(x+y)## and the ##x##-axis? I first tried solving for ##y## and then ##x##, however it doesn't appear possible to solve for either variable. I...

Assuming that this sphere has a radius of 50kpc, I've converted to m (1.543e21) and plugged into the area equation for a total area of 2.992e43 m^2. From here I've talked myself into circles, and I honestly don't know where to go next. Any help or guidance would be greatly appreciated!

$$-2\sin\theta=1\Leftrightarrow\theta=-\frac{\pi}{6},\,-\frac{5\pi}{6}\\ \begin{align*} \int_{-\frac{\pi}{6}}^{-\frac{5\pi}{6}}\frac 12\left(4\sin^2\theta-1\right)d\theta &=\int_{-\frac{\pi}{6}}^{-\frac{5\pi}{6}}\frac 12\left(1-2\cos2\theta\right)d\theta\\...

Hi all, My teacher assigned us a problem to do a few days ago and have attempted it many times, often leaving and coming back to see if I could figure it out. I imagine that you would take the cross-sectional area and multiply it by how far under the surface of the water the rectangular object...

1. Area is the naming convention assigned to that which is within a closed diagram in the x-y dimensions. 2. Area is also the naming convention used in simplified Lorentzian diagrams in the x-t dimensions. 3. Volume is the naming convention used to that which is within a closed vessel in the...

$\textsf{What is the area of the region in the first quadrant bounded by the graph of}$ $$y=e^{x/2} \textit{ and the line } x=2$$ a. 2e-2 b. 2e c. $\dfrac{e}{2}-1$ d. $\dfrac{e-1}{2}$ e. e-1Integrate $\displaystyle \int e^{x/2}=2e^{x/2}$ take the limits...

Hey! :o The functions \begin{equation*}f(x)=\frac{1}{3}(x-2)^2e^{x/3} \ \text{ and } \ p(x)=-\frac{2}{3}x+\frac{4}{3}\end{equation*} have exactly two real intersection points at the region $x\geq 0$. Calculate numerically the area that is between the graphs of these two functions, with...