Area Definition and 1000 Threads

Homework Statement Find the are of the cylinder, by creating a program in C++. 2. The attempt at a solution So far I have: #include <iostream> using namespace std; const double PI = 3.14159; class point { protected: int x; int y; public: point() { } point (int xvalue...

Homework Statement Find the rate of change of the area of a rectangle whose area is 75cm^2. The length is 3 times the width. The rate of change of the width is 2cm/second. Homework EquationsThe Attempt at a Solution A=75 A'=? L=3x= 15 L'=6 W=x=5 W'=2 A'=L'W+LW' A'= (6)(5)+ (15)(2) A'=60cm/sec

Assuming that the temperature in the tire suddenly rises. My question is that would that cause the contact surface area between the tires and the floor increase, decrease, or stay the same? (given that the volume of air in the tires is a constant and cannot be changed) Also, why?

Determine the area of the painted hexagon, knowing that the area of triangle ABC is 120cm^2 IMG Link: https://m.imgur.com/a/WtdsW I tried using Heron´s formula, but just ended up with a bunch of terms and one more variable. Sidenote: I guess part of it is figuring out that the side lenghts...

Homework Statement Inscribe in a given cone, the height h of which is equal to the radius r of the base, a cylinder (c) whose total area is a maximum. Radius of cylinder is rc and height of cylinder is hc. Homework Equations A = 2πrchc + 2πrc2 The Attempt at a Solution r = h ∴ hc = r - rc A =...

Many petroleum rich areas are located within the Chicxulub impact effects radius, including Mexico, the Gulf of Mexico, Texas, and Louisiana. Cantarell, a supergiant petroleum field, is located directly within the impact crater. Did Chicxulub play any role in creating and/or preserving...

Hello all! I'm just wanting a quick clarification on how finding the area under a polar graph works. Say we have the polar graph of ##r\left(\theta \right)=\frac{\arctan \left(2\theta \right)}{\theta }## as shown below: I know that the area under the graph between ##0## and ##\frac{\pi...

I think I got 4 points of (1,0) (3,5) (9,8) (13,0) but I don't know how to get the area

g(x)= √(19x) = upper curve f(x)= 0.2x^2 = lower curve Firstly, I found the point of intersection, which would later give the upper values for x and y. x=7.802 y=12.174 Then I found the area under g(x) and took away the area under f(x) to get the area between the curves. 31.67 units^2 This is...

Homework Statement Homework Equations $$1^2+2^2+3^2+...+n^2=\frac{n(n+1)(2n+1)}{6}$$ The Attempt at a Solution $$S_n=2\{[f_1(x_1)-f_2(x_1)]\Delta x+[f_1(x_2)-f_2(x_2)]\Delta x+...+[f_1(x_{n-1})-f_2(x_{n-1})]\Delta x\}$$ $$S_n=2\{[18-\Delta x^2-\Delta x^2]+[18-(2\Delta x)^2-(2\Delta...

My wife and I might move a bit closer to where I am working. We love our house, sort of. It needs lots of work, but we don't have much time to work on it, and we have an ineffective HOA. We might actually have MORE money to work on it if we instead rent an apartment (closer to work) and rent...

I'm (self)studying the physics of heat transfer at the moment. My book gives a relationship between heat transfer rate and thermal resistance as ##\phi=\frac {A \Delta T} {R}##. My book is not in English, so hopefully that is not the cause of this misunderstanding. I double checked that heat...

Homework Statement Homework Equations Summs: $$1+2+3+...+n=\frac{n(n+1)}{2}$$ $$1^2+2^2+3^2+...+n^2=\frac{n(n+1)(2n+1)}{6}$$ The Attempt at a Solution $$\Delta x=\frac{b}{n}$$ $$S_n=f\left( \frac{\Delta x}{2} \right)\Delta x+f\left( \Delta x+\frac{\Delta x}{2} \right)\Delta x+...+f\left(...

Hello, I did a calculation to determine whether a liquid with a fixed volume ##V##, would be spread over a larger surface area ##A## on the inside mantle of a cylinder, if the cylinder has a larger radius ##r##. So I’d like to find a relationship between the radius ##r## and the area ##A## over...

Rita wants to cover a roughly rectangular area with netting. The height is 9 feet (but one side is along a solid fence, so could be 4 feet), two sides are each 6 feet, and the other side is 5_1/2 feet. How much netting does she need? Netting comes as a rectangular or square piece. My Work:Let A...

Hi there, I was wondering if someone could help clarify something for me. I am using excel to find the area under a curve. I am using the : (B1+B2)/2*(A2-A1) equation to do it. However, due to the nature of the graph, all the value I am getting are negative. The values on the X axis decrease...

Homework Statement Why, in: $$\frac{\sqrt{1}+\sqrt{2}+...+\sqrt{n}}{n^{3/2}}$$ There is ##~n^{3/2}## in the denominator? Homework Equations The Attempt at a Solution it should be: $$S_n=\sqrt{c_1}\Delta x+\sqrt{c_2}\Delta x+...=\Delta x\cdot \sqrt{\Delta x}+\Delta x\cdot \sqrt{2\Delta...

Hello! And Good day! I just want to ask why do I keep getting a negative value whenever I take a definite integral of function $$y=-50e^{-5x}$$ the graph is shown as the first image. If you look at the graph of the integral of "y" there's no traceable negative value on the graph. Why is that...

Homework Statement Its been assumed that the surfaces TL and TR of the same constant temperature. Homework Equations Tmax = TL/R + (qdoto*L2)/(8*k) q = ΔT/R Rconvection = 1/hA The Attempt at a Solution The problem I am having with this question is conceptualising which dimensions to use...

1. Homework Statement The curve of y= 4/(x^2+4), the x-axis, and the vertical lines x = -2 and x = 2 Homework EquationsThe Attempt at a Solution

Homework Statement Gelfand - Algebra p.115 problem 264: Prove that a square has the minimum perimeter of all rectangles having the same area. Hint. Use the result of the preceding problem. Homework Equations Preceding problem: Prove that a square has the maximum area of all rectangles having...

Hello, If I have an x^2 graph that goes from 0 to a point a. Is there a general solution to where the area of the left side is equal to the area of the right?

Homework Statement The coordinates of the parallelogram ABCD are: A (-2; 1) B (5; 2) C (6; 5) D (-1; 4) We also know that the diagonals intercept in the middle of each other (so if the diagonals are AC and BD, and the intercept in point M, then AM = MC, and BM = MD). Not sure if this...

Given a circle (radius $R$) with an inscribed square. Now inscribe a new circle in the square and then again a new square in the new circle etc. What is the total area of the infinite number of inscribed squares?

Hello I just want to ask that in problem 1.54 why the sign of area element da is negative how do we predict signs in spherical coordinates unit vectors can anybody tell me the rule I have only trouble in sign like in left face it is negative what rule do we use for this negative sign

Hello. I am currently working with a beam with the following cross-section: It consist of three bended sections with the following parameters, alpha = 90 degrees, Thickness = 4 mm, Radius = 50.59 mm. The top section consist of a small triangle and a rectangle. the triangle have a width = 4 mm...

The title said it, how do you know the size or maximum area of a planet's gravity field can cover. The reason i asked this question because from the gravity equation the r is the radius from Mplanet and Mobject. So, that doesn't explain how big is the gravity field. Is it when the gravity force...

Homework Statement ##ABCD## is a square piece of paper with sides of length 1 m. A quarter-circle is drawn from ##B## to ##D## with center ##A##. The piece of paper is folded along ##EF##, with ##E## on ##AB## and ##F## on ##AD##, so that ##A## falls on the quarter-circle. Determine the maximum...

Sir, actually in a tank by the toricelli's law and also from bernoulli equation, we have outlet velocity as V= (2*g*H)^(1/2). In the case 2, I have closed the pipe exit partially with hand and observed a higher velocity than case 1, in practical. but when I applied the bernoulli...

Homework Statement You must complete the circuit of (Figure 1) in such a way that it draws a current of 0.450 A from the battery. The battery maintains a potential difference of 10.0 V with no load, but has an internal resistance of Rbatt = 15.0 Ω . The only material you have is 20.0 mm^3 of...

Hi. I am very curious and fascinated to know what area of mathematics is common to all other areas of mathematics. Thank you.

Someone questioned my calculation for force: 200 PSI Area: panel dimensions are 12" x 18" what is the calculated force in pounds

Dear all, I have a question regarding the computation of the area of an ellipse. The parametric form of the ellipse with axes a and b is $$x(t) = a\cos{(t)}, \ \ \ y(t) = b\sin{(t)} $$ Using this to evaluate the area of the ellipse, usually one takes one halve or one quarter of the ellipse...

Homework Statement Find the area Below ##y=0##,above ##y=lnx##, and to the right of ##x=0## Homework EquationsThe Attempt at a Solution I thought an integral like ##\int_0^1 lnx \, dx## then Its ##-∞## at ##x=0## So I used like ##lim(a→0)=\int_a^1 lnx \, dx## and from that...

If I push an object such as a cylinder of wood along a flat table (flat face of cylinder in contact with the table) through it's center of mass, the friction or energy required is not dependent of the surface area the block makes with the table, Friction = μ N, correct? And the energy required =...

Homework Statement Homework EquationsThe Attempt at a Solution I attempted all of the parts: I think I did the right things for a-b-c-d, but I am pretty unsure about e & f. Can someone verify if my logic is right? Thanks.

Homework Statement Find the area of the region enclosed by the parametric equation x = t3- 7t y = 8t2 Homework Equations A = ∫ y(t) x'(t) dt The Attempt at a Solution I initially began with A = ∫ y(t) x'(t) dt And got to ∫24t4-56t2dt and then to 24∫t4dt - 56∫t2dt but without a limit/defined...

Hi everyone! I wanted to put a quick post up on the forum! I'm a final year undergraduate chemistry student, and my dissertation topic involves using molecular quantum dynamics to simulate charge-transfer at a solar cell heterojunction. My knowledge of quantum mechanics is acceptable, but I'm...

The length of a rug is eight times greater then the width. if the width of the rug is (w+5), what is the ratio of the area of the rug to the perimeter of the rug in simplest form?

Hi everyone! I had previously posted this poll question before, but I realized (after much feedback from you) that I had not appropriately asked the various research areas/divisions of physics, so I decided to post this new poll question, asking what area of research you specialize in. Please...

Is there any limit for which we can approximately write the surface area of a prolate ellipsoid to be 4piA*B comparing with the spherical 4piR*R??

I have never heard of a way to investigate this mathematically but I'm sure there is. How would you describe the surface area or volume of some 3-D surface formed by moving an enclosed area along a curved axis a certain distance? You could easily describe a torus by taking a circle and forming...

Hello, could someone please help me with this question? I don't even know where to begin. Given vectors a = (2, x, 0), b = (1, 0, −1) and c = (5, −9, 3), and let P(2, 1, −1) be a point. Find the value of x in a such that the angle between a and b is π/4, then find the area of parallelogram...

I had a question regarding calculating the area of a circular cap on a sphere. From what I’ve read, the area should be calculated according to; $$A = 2πr^2 \cdot (1 – cos (\frac{θ}{2} )$$ However, I have another way but I don’t understand why this isn’t correct. The circular area can be...

I play electric guitar, and electromagnetic noise is a big concern for us. There are two types of noise, those that arrive as magnetic fields and those that arrive as electrical fields. This web page is a resource from which I've derived this understanding...

Homework Statement Homework Equations I = nqVA J = E/ρ J = I/A The Attempt at a Solution The underlying assumption was that current was constant across all 3 bits of the conductor, and thus answer is b. The concept I can't grasp is this: Why is current constant? Shouldn't a smaller A mean...

$\tiny{242t.08.02.41}$ $\textsf{Find the area of the region bounded above by}$ $\textsf{$y=8\cos{x}$ and below by $4\sec{x}$}$ $\textsf{and the limits are $-\frac{\pi}{4}\le x \le \frac{\pi}{4}$}$ \begin{align*} \displaystyle I_{41}&=\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (8\cos{x}-4\sec{x})\,dx...

Point A(3, 4), point B(8, 5) and point C(7, 8) are located in quadrant 1 and form Triangle ABC. Note: Point A(a, b) Point B(c, d) Point C(e, f) Find the area of Triangle ABC using the formula below. A = (1/2)(a*d - c*b + c*e - e*d + e*b - a*e) I think this is just a plug and chug problem...

Knowing that Gauss' law states that the closed integral of e * dA = q(enclosed)/e naut, how would you find exactly what A is in any given problem? I know it varies from situation to situation depending on the geometry of the charge. For instance, I know that for an infinite wire/line of...

Homework Statement Homework Equations Integration of graph is the area. The Attempt at a Solution I don't think my way should have any problem in it, but I can't get the right answer. Are there any careless mistakes in it? Or any other problems? And how is the true answer get? And what is...