Find the particular solution to the given differential equation that satisfies the given conditions.D2y + 10 Dy + 21y = 0; Dy = 0 and y = 2 when x = 0
A. y = - 
e7x + 
e3x
B. y = - 
e-7x + 
e-3x
C. y = 
e-7x - 
e-3x
D. y = 
e7x + 
e3x
Answer: B
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Evaluate 
when r = -1 and s = -2.
?
A. 14 B. -56 C. 38,416 D. -14 E. -112
Find the x-intercepts (if any) for the graph of the quadratic function.f(x) = -x2 + 13x - 42
A. (6, 0) and (7, 0) B. (-6, 0) and (-7, 0) C. No x-intercepts D. (6, 0) and (-7, 0)
Find the distance in the xy-plane between the two points. Round an approximate result to the nearest hundredth.(-5, 1) and (-9, -2)
A. 2.24 B. -5 C. 12 D. 5
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x3 - 12x + 2; (-5, 5)
A. local maximum at (-2, 18) local minimum at (0, 0) local minimum at (2, -14) B. local maximum at (-2, 18) local minimum at (2, -14) C. local minimum at (0, 0) D. none