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A body of mass 3 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.B. Compute the magnitude of that force.
The center of a circle inscribed in a triangle is the same point as the intersection of the triangle's _?_.
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral..
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Finding the centroid of the area bounded by the x- axis and a parabola - Determine the centroid of the area bounded by the parabola
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Deterministic techniques assume that no uncertainty exists in model parameters. The probabilities of mutually exclusive events sum to zero.
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