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a point p moves along the axis so that its position x at t is given by x=t^3-4t +1a)find the velocity and aceleration of point P at time tb) determine the following the tim interval on which the point is moving to the rightthe tim interval on which the point is moving to the leftthe acleration at times when the velocity is zerothe average verlocity over the time interval [0,4]
bacteria grow over a culture at a rate proportional to the amount present. if there are 200 bacteria present intially and the amount doubles in 2hrs, how many will there be aftera further 2 hours?
evaluate:A) sin(sin^(-1)multiplied by 0.7b) tan(cos^(-1)multiplied by 4/5c)tan ^-1(root 3)d) cos^-1 (root3/2)
let y= root 2x-1 find y' y'' y'''
calculate enough derivatives of the function f(x)=1/(1-x)^2 to guess the formula for f(n)(x)
find the equation of the tangent line to the hyperbola x^2/16 -y^2/9 =1 at the point (15,9/4) on the curve
use logarthimic differentiation to find the derivative y=3^2x
tom and barb hace only nickels and dimes.barb has 75 cents and tom has 90 cents. both have the same number of coins and tom has the same number of dimes as barb has nickels. how many nickels does barb have?
Soybean meal is 14% protein, cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280 pound mixture that is 8% protein?
Find the indicated probability.
How many belonged to either one or the other or both?
Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $ 375?
A vertical right circular cylindrical tank measures 24 ft high and 14 ft in diameter. it is full of oil weighing 60 lbs/ft^3. How long will it take a 1/2 horsepower pump, rated at 275 ft x lbs/sec to pump the oil to the level of the top of the tan..
What should the outside dimensions be of this center for the construction cost to be minimum as possible?
What are the two steps for simplifying radicals? Provide an example to show each step. Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
Connie walks fro her home to the bicycle repair shop at 6km/r and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
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