Translate the given formula to an English phrase using the word "varies".f =
, where f is the centripetal force of an object of mass m moving along a circle of radius r at velocity v
What will be an ideal response?
The centripetal force of an object varies directly as its mass and the square of its velocity and inversely as the radius of the circle it moves along.
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Find the unit tangent vector of the given curve.r(t) = i +
j - 12tk
A. T = i +
j -
k
B. T = i +
j -
k
C. T = i +
j -
k
D. T = i +
j -
k
Find the derivative of y with respect to the independent variable.y = (ln 10?)?
A. (ln 10?)?-1
B. (ln 10?)?-1
C. (10?)? ln ?
D. ?(ln 10?)?-1
Find the most general antiderivative.dx
A. 6x2 + 6 + C
B. 6x4 + 12x2 + 4x + C
C. 2x4 + 6x2 + 4x + C
D. x4 + 3x2 + 4x + C
Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply.5i
A. real B. complex, pure imaginary C. real, complex D. complex, nonreal complex