For the word problems, provide the Given, Asked, Formula, Solution, and Answer. Write your answers on a one whole sheet of yellow paper. 1. Suppose you are driving north on a straight two-lane road at a constant 88 \( \mathrm{~km} / \mathrm{hr} \). A truck traveling at a constant \( 104 \mathrm{~km} / \mathrm{hr} \) approaches you (in the other lane, fortunately). (a) What is the truck's velocity relative to you? (b) What is your velocity with respect to the truck?

A motorist, travelling at a usual average speed, will cover a certain distance in \( 1 \frac{1}{2} \mathrm{~h} \). For the same distance, he would have saved 15 minules if he had increased his usual speed by \( 20 \mathrm{~km} / \mathrm{h} \). Find his usual average speed in \( \mathrm{km} / \mathrm{h} \)

Write in standard form. 30. \( -7.02 \times 10^{-8} \)

1. If \( r \) varies directly as \( s \) and inversely as the square of \( u \), and \( r=2 \) when \( s=18 \) and \( u= \) find: a. \( r \) when \( u=3 \) and \( s=27 \). b. \( s \) when \( u=2 \) and \( r=4 \). c. \( u \) when \( r=1 \) and \( s=36 \). 2. \( p \) varies directly as \( q \) and the square of \( r \) and inversely as \( s \). a. Write the equation of the relation. b. Find \( k \) if \( p=40 \) when \( q=5, r=4 \) and \( s=6 \). c. Find \( p \) when \( q=8, r=6 \) and \( s=9 \).

If the critical angle for internal reflection inside a certain transparent material is found to be 48.0 degrees, what is the index of refraction of the material? (Air is outside the material).

34. Korzystając z definicji granicy właściwej lub niewłaściwej ciągu uzasadnić równości: \( \begin{array}{lll}\text { (a) } \lim _{n \rightarrow \infty} \frac{2-n}{n+5}=-1 ; & \text { (b) } \lim _{n \rightarrow \infty} \frac{1}{\sqrt{n}}=0 ; & \text { (c) } \lim _{n \rightarrow \infty} 3^{n}=\infty\end{array} \)