The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 1 for r(t) = t5i + 5ln
j +
k
A. a(1) = 20i - 5j - 2k
B. a(1) = 20i + j + 2k
C. a(1) = 20i + j - 2k
D. a(1) = 20i + 5j + 2k
Answer: D
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Give all solutions of the nonlinear system of equations, including those with nonreal complex components. xy = 30x + y = -11
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Find the value of the determinant.
A. 9 B. 3 C. -11 D. -9
Find the center, foci, and vertices of the ellipse.25x2 + 9y2 = 225
A. center at (0, 0) foci at (0, -5) and (0, 5) vertices at (0, -25), (0, 25) B. center at (0, 0) foci at (- 4, 0) and (4, 0) vertices at (-5, 0), (5, 0) C. center at (0, 0) foci at (0, 5) and (3, 0) vertices at (0, 25) and (9, 0) D. center at (0, 0) foci at (0, - 4) and (0, 4) vertices at (0, -5), (0, 5)
Solve the problem.The polynomial 0.041h - 0.018A - 2.69 can be used to estimate the lung capacity, in liters, of a female with height h cm and age A years. Find the lung capacity of a 20-year-old woman who is 180 cm tall. Round to the nearest liter.
A. 4 liters B. 10 liters C. -5 liters D. 68 liters