02 A couple of interesting differential equations【几个有趣的微分方程】 05:21 A RIDICULOUSLY AWESOME INTEGRAL int 0 to 1 (x^2cosh(arctan(x)))sqrt(1+x^2) 11:09 A fascinating differential equation【一个有趣的微分方程】 09:12 How Ramanujan proved his master theorem【Ramanujan如何证明他的主...
In trigonometry, the use of the rectangular (Cartesian) coordinate system is very common when graphing functions or systems of equations. However, under certain conditions, it is more useful to express the functions or equations in the polar coordinate system. Therefore, it may be necessary to le...
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How to Graph Lemniscate Polar Equations Step 1:Identify which lemniscate equation is given. Step 2a:For lemniscate polar equations in the form of {eq}r^2 = a^2 \sin(2\theta) {/eq}, 1) Solve the lemniscate equation {eq}r^2 = a^2 \sin(2\theta) {/eq} for {eq}r {/eq}: $$...
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Inequalities are similar to equations, you have to solve for a variable (X, Y, Z , A, B, etc...), the main difference is that with an equation you are solving for only one value (X=3, Z=4, A=-9, etc) with an inequality you are solving for a range of numb
Consider the line whose shortest distance to the origin is 5 and that is perpendicular to the ray θ=5∗π7 for r>0 Find its polar equation r=r(θ) and θ1<θ2 in the interval [0,2π] such that r(θ)≥0 for all θ1≤θ≤θ2 as θ increases from θ1 to θ2...
. . . . . Solve ODE Live Editor Task: Interactively solve systems of ordinary differential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ode Object: Specify ODE as implicit . . . . . . . . . . . . . . . ....
5 choose 2, also written as 5C2, is a method for making 2-piece combinations from a group of 5 items. Learn how to solve 5 choose 2 with a...