Provide an appropriate response.In solving a system of three equations in three variables, the final step yields the following equation: 
How many solutions does this system have? Explain geometrically.
What will be an ideal response?
There are no solutions. There is no common intersection. All three planes are parallel, or two planes coincide and are parallel to the third, or two planes are parallel and intersect the third plane. Other configurations are possible in which there is no common intersection. (Explanations will vary.)
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Which of the following is the sample set for an experiment which involves tossing three coins?
A. HHH, TTT B. HHH, HHT, HTT, TTT C. HHH, HHT, HTH, THH, TTT D. HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
Solve the initial value problem.y'(x) = 10 sec2 2x, y(0) = 6
A. y = 5 tan 2x + 6 B. y = 5 tan 2x - 6 C. y = 5 tan 2x + 5 D. y = 10 tan 2x + 6
Evaluate the integral.
cos 5? d?
A. 
sin 5? - 
sin 3? - 
sin 7? + C
B. 
sin 3? - 
sin 5? - 
sin 7? + C
C. 
sin 5? - 
sin 7? - 
sin 3? + C
D. 
sin 5? - 
sin 3? - 
sin 7? + C
Provide an appropriate response.Multiply (x + a)(x + b). What is the coefficient of the x-term?
A. 2a + 2b B. a + b C. a - b D. ab