Calculate enough derivatives of the function

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Reference no: EM13206335

a point p moves along the axis so that its position x at t is given by x=t^3-4t +1
a)find the velocity and aceleration of point P at time t
b) determine the following
the tim interval on which the point is moving to the right
the tim interval on which the point is moving to the left
the acleration at times when the velocity is zero
the 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 0.7
b) tan(cos^(-1)multiplied by 4/5
c)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

Reference no: EM13206335

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