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- Prove these circles similar through transformationsShow that fc F dr. is not independent of path. [Hint: Compute and , where c1 and c2 are the upper and lower halves of the circle x 2 + y 2 = 1 from (1,0) to (-1,0)] Does this contradict Theorem 6?Prove these circles similar through transformations which types of transformations is the one that matches the image of circle 1 to circle 2
- you have to describe the transformations needed to map circle A onto circle B2. Let C1 be the circle centre P = (−1, 1) with radius √17 and C2 be the circle centreQ = (1, −1) with radius √13. Determine the two points of intersection R, S of the circles C1 and C2. without using a graphGiven a rule x2 + y2 = 9, its image rule x2 + y2 − 2x + 6y + 1 = 0 under a translation, state a possible translation. Consider the center of the circle.
- Determine the DE of the family of curves and sketch the family of the curves All circles with centers on the lineLet C be the closed curve indicated in the diagram. Use Green’s Theorem to calculate (look at the following picture)Create the formula for circles with center on the line y = -x and passes through the origin