Find the LCD. Build up the fractions to equivalent fractions having the LCD as the denominator.
,
, 
A. ,
,
B. ,
,
C. ,
,
D. ,
,
Answer: C
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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 quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex (-3, -7); passing through (6, -1)
A. y = (x + 3)2 + 7
B. y = (x + 3)2 - 7
C. y = (x - 3)2 - 7
D. y = (x - 3)2 + 7
Solve the system of equations.y - 2z=5-2x + y- 2z =92x+ 2z =-12
A. (-2, -3, -4) B. (0, -2, -6) C. (-2, -1, -3) D. (0, -3, -6)
Evaluate the definite integral.
A. 0
B. -1
C.
D. 1