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The curve with parametric equations x: t, y = 1 cos t, 0 S t 5 2n is called a sinusoid and is shown in

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The curve with parametric equations x: t, y = 1 cos t, 0 S t 5 2n is called a sinusoid and is shown in the acoompanying gure. Find the point (x,y) where the slope of the tangent line is (21) largest and (b) smallest. :: 2 0 2 B ' h f d' dy (a) egln y In Ing dx' \"1. dx_ Thus the slope of the tangent line can be found by the function sint. Determine where sint is largest on the interval 0 S t s 21:. The slope ofthe tangent line, sint, is largest at t: (Type an exact answer, using an as needed.) Determine the point (x,y) where the slope is the largest. The point where the slope is largest is . (Type an ordered pair. Type an exact answer, using 1: as needed.) cl (1)) Recall that CT: =sin t. Determine where sin t is smallest on the interval 0 s t s 21:. The slope of the tangent line, sin t, is smallest at t = (Type an exact answer, using 1: as needed.) Determine the point (x,y) where the slope is smallest. The point where the slope is the smallest is . (Type an ordered pair. Type an exact answer, using 1: as needed.)

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