3) Approximate the change in the surface are of a spherical balloon when the radius decreases from 4 m to 3.9 m. Express this change using differential notation.

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. 8.052+5.972