Use inductive reasoning to find the next equation in the pattern. 1 = 2 - 1 1 + 1 = 3 - 11 + 1 + 2 = 5 - 1
A. 1 + 1 + 2 + 3 = 8 - 1
B. 1 + 1 + 2 + 3 = 13 - 1
C. 1 + 1 + 2 + 2 = 7 - 1
D. 1 + 1 + 2 + 3 + 5 = 13 - 1
Answer: A
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 32 - x2, y = x2, x = 0
A. 512? B. 64? C. 128? D. 256?
Factor the expression completely, if possible.9z3 - 24z2 + 16z
A. (3z2 - 4z)2 B. z(3z - 4)2 C. z2(3z - 4)2 D. z(3z + 4)2
Evaluate the definite integral and interpret the result.
A. 16; the shaded area above the x-axis plus the shaded area below the x-axis equals 16. B. 0; the shaded area above the x-axis is equal to the shaded area below the x-axis. C. 16; the shaded area above the x-axis minus the shaded area below the x-axis equals 16. D. 4; the shaded area above the x-axis minus the shaded area below the x-axis equals 4.
Determine whether the two lines are parallel, perpendicular, or neither parallel nor perpendicular. 6x + 2y = 821x + 7y = 30
A. Parallel B. Perpendicular C. Neither