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1. Find the average velocity over the time interval [0,3] if the displacement is given by s(t)=t3-2.0t2+1.2t+5. Round your answer to two decimal places.
2. A ball is thrown vertically upward from ground level. Its height, in feet, at time t, in seconds is given by s(t)= -16t2+80.0t. What is the initial velocity of the ball in feet per second? Round your answer to two decimal places and omit the units of measurement.
3. A ball is thrown vertically upward from ground level. Its height, in feet, at time t, in seconds is given by s(t)= -16t2+60.0t+60. What is the initial velocity of the ball in feet per second? Round your answer to two decimal places and omit the units of measurement.
4. A particle moves in a straight line in such a way that the position in time is given by s(t)=t3-5.3t2+2.3t+1.Starting from time t=0, when is the first time that the particle starts moving in the negative direction? Round your answer to two decimal places.
You are designing a rectangular enclosure with 2 rectangular interior sections separated by parallel walls. If you have 2100 feet of fencing, what is the maximum area that can be enclosed?
Determine the area enclosed between the x-axis and each of the functions below within the specified intervals.
The region bounded by the curves y=x^2 and y=sqrt(x) is revolved about the y-axis. Use the method of cylindrical shells to set up the integral that represents the volume of the solid. Do NOT evaluate the integral.
If a department has 10 men and 15 women, how many ways are there to form a committee with 6 members if it must have more women than men?
What amount of time will the salvage value be $1200 After what amount of time will the salvage value be half the original value?
given the following probability distributiondistribution adistribution
Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
Calculate an adjusted exponentially smoothed forecast
2. A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC and passes through the other two vertices. The side AC extended through C intersects the circle at D. The number of degrees of angle ADB is:
Show that there exist a non zero continuous linear functional on l infinty which is zero on the space c0. Why such a functional is not an element of l1?
In order to divide polynomials, put your divisor on the left side and arrange your algebra tiles into a rectangular array so that the left edge matches your divisor. You may need to add zero pairs to complete your model. Ex. What is the factor acr..
The mean weight of loads of rock is 43.0 tons with a standard deviation of 12.0 tons. If 9 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 38.60 tons. Assume that the variable is ..
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