I'm not entirely bright at math hehe.

--

Use Differentials (or equivalently, a linear approximation) to approximate sin(25°) as follows: Let f(x) = sin(x) and find the equation of the tangent line to f(x) at a 'nice' point near 25°. Then use this to approximate sin (25°)

Approximation = _________

--

Use differentials (or equivalent, a linear approximation) to approximate ln(0.97) as follows: Let f(x) = ln(x) and find the equation of the tangent line to f(x) at a 'nice' point near 0.97. Then use this to approximate ln(0.97)

Approximation = __________

-------

The circumference of a sphere was measured to be 90.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. _______

Estimate the relative error in the calculated surface area. _________

----

Thanks in advance. it would be great if I can get some explanations to go with it.

Adding pictures; you dont need to do the first question. I got that one XD