Parametric equations and 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 = 49t2, y = 7t, -? ? t ? ?
A. y = x2; Entire parabola, left to right (from
2nd quadrant to origin to 1st quadrant)
B. y = x2; Entire parabola, right to left (from
1st quadrant to origin to 2nd quadrant)
C. x = y2; Entire parabola, bottom to top (from
4th quadrant to origin to 1st quadrant)
D. x = y2; Entire parabola, top to bottom (from
1st quadrant to origin to 4th quadrant)
Answer: C
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Find the slowest growing and the fastest growing functions as 
y = exy = ex/5y = xxy = 9x
A. Slowest: y = ex/5 Fastest: y = xx B. Slowest: y = xx Fastest: y = 9x C. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = 9x D. Slowest: y = ex/5 and y = ex grow at the same rate. Fastest: y = xx
Solve the system of equations by determinants. 3w + x - 3y + z = -8-w + 3x + y - 3z = 45w - x + 3y + 3z = 36 w + x - 3y - z = -12
A. w = 5, x = -4, y = 0, z = 3 B. w = 5, x = -2, y = 6, z = -3 C. w = -5, x = -6, y = 12, z = 3 D. w = -2, x = 4, y = 7, z = 1
Graph the equation using the slope and the y-intercept.8x - y = 0
A. 
B. 
C. 
D. 
Write as the sum and/or difference of logarithms. Express powers as factors.ln 
A. 5 ln y + 5
B. 
ln 
+ 
C. 
ln y + 
D. 