Equation of a Circle: Given an equation of a circle in polar coordinates, we can convert it into the cartesian coordinates by using the transformationx=rcosθ,y=rsinθ. The equation of a circle with center(a,b)and radiusris given as(x...
A circle may be defined as a closed curve whose points are all equidistant from a point or the center. If a circle is cut in half, it becomes a semi-circle. These curves are basic shapes used in many applications and can be seen in many objects....
Find the length of the arc intercepted by a central angle of theta = 4 pi/3 in a circle of radius r = 21 ft. Find the curvature of the circle y=(a^2-x^2)^{\frac{1}{2. (This is the equation of the upper half of a circle centered at the origi...
Radius of the circle x^2+y^2+2x costheta+2y s intheta-8=0 is 1 2. 3 3. 2sqrt(3) 4. sqrt(10) 5. 2
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3 what happens when the limit cycle is not exactly circular, but approximates a circle, as in the case of pendulum clocks on the same fixed wall, using the Andronov model. In this case, synchronization between clocks with related frequencies also results in master–slave dynamics under general...
Fields such as behavioural and evolutionary ecology are built on the assumption that natural selection leads to organisms that behave as if they are trying to maximise their fitness. However, there is considerable evidence for selfish genetic elements th
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Let C be the bottom half of the circle x^2+y^2=4 . Sketch the curve and find the integral with respect to arclength \int_C y^2 \,ds Explore our homework questions and answers library Search Browse Browse by subject
Acquisition of new skills has the potential to disturb existing network function. To directly assess whether previously acquired cortical function is altered during learning, mice were trained in an abstract task in which selected activity patterns were