A street light is mounted at the top of a 15-ft-tall pole a

Question

1) Differentiate the following functions (you don't have to simplify)

i. y=sqrt[(x-1)/(x⁴+1)]

ii. y=(sinx)^lnx

2) A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole?

3) After 3 days a sample of radon-222 decayed to 58% of its original amount.

A. What is the half-life of radon-222?

B. How long would it take the sample to decay to 10% of its original amount?

4) Use linear approximation to estimate the value of (2.001)5.