Convert the rectangular coordinates of the point to polar coordinates (r, ?) with r > 0 and 0 ? ? < 2?.(5
, 5)
A.
B.
C.
D.
Answer: C
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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.Suppose that the speed of a train approaching a station is given by v (t) = (t - 8) 2, for 0 ? t ? 8, where t is measured in seconds and v(t) is measured in meters per second. Find v'(5).
A. v'(5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/s2 at t = 5 s. B. v'(5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/s2 at t = 5 s. C. v'(5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/s2 at t = 5 s. D. v'(5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.
Subtract.-33.12 - 168.54
A. 201.66 B. -201.66 C. 135.42 D. 137.67
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(4, -3); m = -9
A. y = -9x + 33 B. y = 9x + 32 C. y = -9x + 31 D. y = -9x + 34
Determine the slope and y-intercept of the function.f(x) = x + 1
A. m = ; b = - 1
B. m = 1; b =
C. m = ; b = 1
D. m = - ; b = - 1