Given the parametric curve r (t)=⟨sin(πt),t⟩ where −1≤t≤1, find r ′ (t) and sketch the curve, position vector, and tangent vector at the point (1, 2 1 ). Label all axis and scales.
Given the parametric curve r (t)=⟨sin(πt),t⟩ where −1≤t≤1, find r ′ (t) and sketch the curve, position vector, and tangent vector at the point (1, 2 1 ). Label all axis and scales.
Given the parametric curve r (t)=⟨sin(πt),t⟩ where −1≤t≤1, find r ′ (t) and sketch the curve, position vector, and tangent vector at the point (1, 2 1 ). Label all axis and scales.
Given the parametric curve r (t)=⟨sin(πt),t⟩ where −1≤t≤1, find r ′ (t) and sketch the curve, position vector, and tangent vector at the point (1, 2 1 ). Label all axis and scales.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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