Find the equation of the line specified.The slope is 4, and it passes through (-3, 5).
A. y = 4x - 7
B. y = 8x + 17
C. y = 4x + 17
D. y = 4x + 5
Answer: C
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Find the curvature ? and radius of curvature R for the curve at the given point.y = 5x2, (1, 2)
A. ? = , R =
B. ? = , R =
C. ? = , R =
D. ? = , R =
Simplify the radical expression by factoring out the largest perfect nth power. Assume that all variables are positive.-
A. -4xy
B. -4xy
C. 4xy
D. xy
Solve the problem.Tides go up and down in a 12.8-hour period. The average depth of a certain river is 8 m and ranges from 5 to 11 m. The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y, if x is the number of hours after midnight and high tide occurs at 10:00 am.
A. y = 8 sin + 3
B. y = 8 sin + 3
C. y = 3 sin + 8
D. y = 3 sin + 8
Multiply.(d + x)(d2 - dx + x2)
A. d3 -2dx2 + 2d2x - x3 B. d3 - 2d2x -2dx2 + x3 C. d3 + x3 D. d3 - x3