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50. Is there anything special about the tangents to the curves )3 = .13 rand 2.153 + 3),!2 = at the points (1, i 1)?

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50. Is there anything special about the tangents to the curves )3 = .13 \"rand 2.153 + 3),!2 = at the points (1, i 1)? Give reasons for your 3113 WET. 51. Verify that the following pairs of curves rneet orthogonally. a. 1:2 + 3:2 = , x2 = 3}-'2 b. I = 1 3:2, I = %}:E 52. The graph of 3:2 = x3 is called a scmicuhica] parabola and is shown in the accompanying gure. Determine the constant .6 so that the line )9 = 7qu + b meets this graph orthogonally. J} \"1,2 2 I3 }' = -1r + b 3

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