Rose curve animation and plotting rose curve r=4cos(2*theta) by finding the tips of the petals. скачать в хорошем качестве

Rose curve animation and plotting rose curve r=4cos(2*theta) by finding the tips of the petals.

Questions or requests? Post your comments below, and I will respond within 24 hours. Rose curve animation and plotting rose curve r=4cos(2*theta) by finding the tips of the petals. We are given the polar equation r=4cos(2*theta), and we want to plot the polar equation point-by-point. In this problem, we use a shortcut for plotting roses: all we really need is the tips of the petals, and the rest falls into place. We compute the angles for which the magnitude of r is maximized: r=4 or r=-4, and we plot the tips of all the petals and sketch the cosine rose. Next, we verify our sketch by showing an animation of the polar curve being traced out as theta goes from zero to 2pi. We notice that, unlike the odd coefficient of theta case, we now get twice as many petals as the coefficient of theta. In addition, the curve is only traced once on 0 to 2pi, which is why we get more petals than the odd coefficient case. To compare to a rose curve with an odd number of petals:    • Polar curve rose animation and plotting po...