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Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o.
Find a linear function D(x) that express the constume demand as a function of the price per pound x
A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
what is the area of each triangle to the nearest tenth. In triangle ABC, a=326, c=157,M
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Find the x-intercept of L(x) as a way of estimating the x-intercept of f(x). Round the coefficients 3 decimal places.
A fish tank is 1 yd long, 1.5 ft high, and 15 in wide. Determine the volume of water in the fish tank in cubic feet.Determine the weight of the water in pounds. One cubic foot of water weighs about 62.5 pounds.
Probability: Birthdays on the Same Day, Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent
So the question is, in the long run, what fraction of the time will the stock increase in price?
Consider the differential equation dy/dx = [3e^(-2t)][y^2-7y+10]. By considering the slope field for this differential equation, determine whether the equilibrium states are stable or unstable. Make your analysis clear.
described the height of the ball above the ground, h, in feet, t seconds after the fall begins. How long will it take the ball to strike the ground?
what is the cost of the bond, the annual interest and yield.
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