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Consider the following vector equation. r(t) = 4sin⁡(t)i − 3cos⁡(t)j (a) Find r′(t). r′(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r′(t) for the given value of t = 3π/4.

Consider the following vector equation. r(t) = 4sin⁡(t)i − 3cos⁡(t)j (a) Find r′(t). r′(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r′(t) for the given value of t = 3π/4.

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Consider the following vector equation.
r ( t ) = 4 sin ⁡ ( t ) i − 3 cos ⁡ ( t ) j
(a) Find r ′ ( t ) .
r ′ ( t ) =
(b) Sketch the plane curve together with the position vector r ( t ) and the tangent vector r ′ ( t ) for the given value of t = 3 π 4 .

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