Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 16t2, y = 4t, -? ? t ? ?
A. x = y2
Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)
B. y = x2
Entire parabola, right to left (from first quadrant to origin to second quadrant)
C. x = y2
Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
D. y = x2
Entire parabola, left to right (from second quadrant to origin to first quadrant)
Answer: A
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combine on a person's ear drum to produce the pressure
Find the amplitude and phase shift for the total pressure.
A. A = 5, ? = 0.6435 B. A = 2.2, ? = 0.9273 C. A = 5, ? = 1010.8083 D. A = 2.2, ? = 1010.8083
Complete the factoring.7x2y5 + 14x2y4 = 7x2y4( )
A. 7y + 2x B. y + 2 C. y + 2x2 D. x2y + 2
Solve the problem.Suppose the following matrix represents the input-output matrix of a primitive economy. How much of each commodity should be produced to produce 76 bushels of yams and 99 pigs?
A.
X =
B.
X =
C.
X =
D.
X =
Suppose in Florida it was observed that 70% of parents who were vegetarian were succeeded by children who were vegetarian and 30% by non-vegetarian. Also, 40% of non-vegetarians were succeeded by vegetarians and 60% by non-vegetarians. Set up the 2 × 2 stochastic matrix with columns and rows labeled V and N-V that describes this situation.
A.
B.
C.
D.