Convert the units.14 yd2 = 
ft2
A. 378
B. 126
C. 168
D. 42
Answer: B
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j - 10k
A. T = (-cos t)i - (sin t)j; N = (sin t)i + (cos t)j B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j C. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j D. T = (cos t)i + (sin t)j; N = (-sin t)i + (cos t)j
Find the equation in standard form of the parabola described.The vertex has coordinates (0, 0), and the focus has coordinates (6, 0).
A. y2 = 24x B. y2 = 6x C. x2 = 6y D. x2 = 24y
Eliminate the parameter to obtain a Cartesian equation of the curve.x = 4 cos t, y = 4 sin t, 0 ? t ? 2?
A. x2 - y2 = 4, -4 ? x ?4 B. x2 - y2 = 16, -4 ? x ?4 C. x2 + y2 = 16, -4 ? x ?4 D. x2 + y2 = 4, -4 ? x ?4
Solve the problem.A sweater costs $13.94 and is subject to a 5.3% sales tax. What is the amount of the sales tax?
A. $7.49 B. $0.74 C. $1.24 D. $1.51