QUESTION $3$

Let $z=\sqrt[\phantom{2}]{29-x^2-y^2}.$ If $(x,y)$ moves from the point $(3,4)$ to the point $(3\mathrm{.}01,3\mathrm{.}97),$ then the change in $z$ is approximately equal to

a$.\frac{1}{20}$

b$.\frac{7}{200}$

c$.\frac{3}{25}$

d$.\frac{1}{25}$

e$.\frac{9}{200}$