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- For what value of the constant k is the line x+y=k normal to the curve y=x^3Find the length of the curve over the given interval. r = 8(1 + cos θ), [0, π/ 3]Find the exact length of the curve given by: x=e-tcos(t), y=e-tsin(t), with 0 less then or equal too t less than or equal too pi/2. Give the exact answer!