1. The position of a particle moving on a straight line after t seconds is s(t) =cos(t)*sin(t) meters. What is the velocity of a particle at t=(11*pie)/6 seconds?
2. Find the average rate if change for y=|4-x^2| from x=0 to x=3.
3. An objects velocity is given by v(t)=2t^3-9t^2+12t-7 meters in t seconds. Find the objects speed when the acceleration is zero.
4. An object moves along the x-axis; its position is given by x(t)=t^3-4t^2+5. What is the objects acceleration at t=2?
5. An oil tanker spills oil that spreads in a circular pattern whose radius increases at a rate of 15ft/min. Let A be the area of the circle and r be the radius of the circle. How fast is the area increasing when the radius is 30 feet?
6. The volume of an expaning sphere is increasing at a rate of 12 cubic feet per second. When the volume of the sphere is 36pie cubic feet, how fast in square feet er second is the surface area increasing? Note: (V=4/3*pie*r^3, and S=4*pie*r^2)
7. A 15ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at a rate of 1.5ft/sec, Let x be the distance from the bottom of the ladder to the wall, y be the distance from the top of the ladder to the ground and l be the length of the ladder. How fast is the top moving down the wall at te instant it is 9 feet above the ground?
8. Find the linearzation of the function f(x)=(3sqrt(1-x)) at a=0.
9. Estimate (3sqrt(129)) using linear approximation for x near 125.
10. The function y=f(x) is defined imolicitly by the equation (x+y)^3=4*(x-y) near the point (2,0). Use the tangent line approximation of f(x) to estimate f(1.94).

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Status NEW Posted 10 Jul 2017 01:07 AM My Price 13.00

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