Solve.An elliptical bicycle path is constructed in a local park. The equation of the ellipse that represents the path, in yards, is given by
+
= 1. What are the length and the width of the bicycle path?
A. length: 110 yd; width: 90 yd
B. length: 45 yd; width: 55 yd
C. length: 55 yd; width: 45 yd
D. length: 90 yd; width: 110 yd
Answer: D
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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 7 + e-3t
A. y = 7 - + C
B. y = 7t - + C
C. y = 7t + e-3t + C
D. y = -3e-3t + C
Solve the inequality. < 5
A. r < -0.9, r > 9.1 B. -9.1 < r < 0.9 C. r < -9.1, r > 0.9 D. -0.9 < r < 9.1
Determine whether the point is inside or outside the Jordan curve.Point B
A. Inside B. Outside
For the given question, determine whether an Euler circuit, a Hamilton circuit, or neither would solve the problem.The vertices of a graph represent buildings on a college campus and the edges represent walkways connecting the buildings. A tour guide seeks a route that will travel each walkway exactly once, returning to the starting point when done.
A. Euler B. Neither C. Hamilton