povijuaisaiah
08.04.2020 •
Mathematics
G For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction traced out as t increases. (b) Set up, but do not evaluate, the arc length of the curve. (c) Geometrically, and without solving an integral, estimate the length of the curve.
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Ответ:
a) See the file below, b) , c)
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
c) The perimeter of that arc is approximately:
Ответ:
C
Step-by-step explanation:
Both triangles have an included side between their angles