1. Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a hemispherical dome with diameter 50 m.

dV will be in cubic meters

2. Use a linear approximation or differentials to estimate the given number. L(x) = f(a)+f '(a)(x-a) I have tried to use the formula and pluged in the numbers but I still couldn't figure out the correct answer.

a)

use the line tangent to at

b) tan 44 degrees

note that derivatives for trig functions are only valid for angles in radians.

use line tangent to the point