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Cardioid Consider the cardioid
as shown in the figure. Let
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Chapter 12 Solutions
Calculus: Early Transcendental Functions
- Arc length parametrization Determine whether the following curve use arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = ⟨17 cos t, 15 sin t, 8 sin t⟩, for 0 ≤ t ≤ πarrow_forwardArc length of the curve from point P to Q. x^2=(y-4)^3, P(1,5), Q(27,13)arrow_forwardArc length Find the length of the following curve. x = cos 2t, y = 2t - sin 2t; 0 ≤ t ≤ π/4arrow_forward
- Arc length parametrization Determine whether the following curve use arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = ⟨cos t2, sin t2⟩, for 0 ≤ t ≤ √πarrow_forwardArc length parametrization Determine whether the following curve use arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = ⟨et, et, et⟩, for t ≤ 0arrow_forwardArc length Find the length of the following curve. x = e2t sin 3t, y = e2t cos 3t; 0 ≤ t ≤ π>3arrow_forward
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