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Completing the Square Before Trig Substitution
Worksheet
Grade Level
Calculus II
CAL2.32 Completing the Square Before Trig Substitution
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Complete the square for 12x
2
+ 24x + 61. Which substitution uses the scaled shifted variable correctly?
A
12x
2
+ 24x + 61 = 12(x + 1)
2
+ 49; set sqrt(12)(x + 1) = 7 sin(theta)
B
12x
2
+ 24x + 61 = 12(x + 1)
2
+ 49; set sqrt(12)(x + 1) = 7 tan(theta)
C
12x
2
+ 24x + 61 = 12(x + 1)
2
+ 49; set x + 1 = 7 tan(theta)
D
12x
2
+ 24x + 61 = 12(x - 1)
2
+ 49; set sqrt(12)(x - 1) = 7 tan(theta)
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