Compare the following two parameterizations of a circle: p(t) = [cos(t) sin(t)],

Question

Compare the following two parameterizations of a circle: p(t) = [cos(t) sin(t)], 0 lessthanorequalto t lessthanorequalto 1 p(t) = [1-t^2/1+t^2 2t/1+t^2], -infinity lessthanorequalto t lessthanorequalto infinity Verify that both parameterizations represent the circle Evaluate the "speed" for each parameterization. Which parameterization would you use if you need to generate points at regular arc-length intervals (for example, to draw the curve on the screen)?

Explanation / Answer

#include #include #define MAX 20 void maxheapify(int *, int, int); int* buildmaxheap(int *, int); void main() { int i, t, n; int *a = calloc(MAX, sizeof(int)); int *m = calloc(MAX, sizeof(int)); printf("Enter no of elements in the array "); scanf("%d", &n); printf("Enter the array "); for (i = 0; i = heapsize) return; else { if (left < (heapsize) && a[left] > a[i]) largest = left; else largest = i; if (right < (heapsize) && a[right] > a[largest]) largest = right; if (largest != i) { temp = a[i]; a[i] = a[largest]; a[largest] = temp; maxheapify(a, largest, heapsize); } } }

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