An object moves in simple harmonic motion with period 7 minutes and amplitude 17m. At time =t0 minutes, its displacement d from rest is 0m, and initially it moves in a positive direction

dg1189579
2022-03-23

An object moves in simple harmonic motion with period 7 minutes and amplitude 17m. At time =t0 minutes, its displacement d from rest is 0m, and initially it moves in a positive direction

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asked 2022-03-17

Can anyone help with paramaterization of conics?

Im struggling to wrap my head around an example. It considers the conic ${x}^{2}+{y}^{2}-{z}^{2}=0$ then proceeds:

Take $A=[1,0,1]$ and the line P(U) defined by $x=0$. Note that this conic and the point and line are defined over any field since the coefficients are 0 or 1. A point $X\in P\left(U\right)$ is of the form $X=[0,1,t]$ or [0, 0, 1] and the map $\alpha$ is

How do I evaluate B(v,v) or B(v,v)(a,b,c) like they have to go from the first line to the second?

asked 2022-03-17

describe maximum and minimum for the function of two variables x and y and saddle poin

asked 2022-05-14

Suppose that the series of a sequence an in real converges to a real number. Show that limit to infinity summation k = n + 1 = 0

asked 2022-04-28

Sally has caught covid but doesn’t know it yet. She is testing herself with rapid antigen kits which have an 80% probability of returning a positive result for an infected person. For the purpose of this question you can assume that the results of repeated tests are independent.

a) If sally uses 3 test kits what is the probability that at least one will return a positive result?

b) In 3 tests, what is the expected number of positive results?

c) Sally has gotten her hands on more effective tests, these ones have a 90% probability of returning a positive result for an infected person. If she tested herself

twice with the new tests, how many positive results would she expect to see?

asked 2022-03-17

Calculate the laplace transform of

${t}^{2}u(t-2)$

I don't know how to manipulate ${t}^{2}$ in order for it to meet the form of the product between a function and a heaviside function.

asked 2022-05-17

Elliptic integrals The length of the ellipse

x=acost,y=bsint,0≤t≤2π$$x=a\mathrm{cos}t,\phantom{\rule{1em}{0ex}}y=b\mathrm{sin}t,\phantom{\rule{1em}{0ex}}0\le t\le 2\pi $$

turns out to be

=4a∫π/201−e2cos2t√dt$$=4a{\int}_{0}^{\pi /2}\sqrt{1-{e}^{2}{\mathrm{cos}}^{2}t}dt$$

where e$e$ is the ellipse's eccentricity. The integral in this formula, called an elliptic integral, is non elementary except when e=0$e=0$ or 1 a. Use the Trapezoidal Rule with n=10$n=10$ to estimate the length of the ellipse when a=1$a=1$ and e=1/2$e=1/2$ . b. Use the fact that the absolute value of the second derivative of f(t)=1−e2cos2t√$f(t)=\sqrt{1-{e}^{2}{\mathrm{cos}}^{2}t}$ is less than 1 to find an upper bound for the error in the estimate you obtained in part (a).

asked 2022-03-19

- A strawberry jam company regularly receives large shipments of strawberries. For each shipment that is received, a supervisor takes a random sample of 500 strawberries to see what percent of the sample is bruised and performs a significance test. If the sample shows convincing evidence that more than 10%, percent of the entire shipment of strawberries is bruised, then they will request a new shipment of strawberries.

Let p represent the proportion of the strawberries in a shipment that are bruised.