Wilson's Theorem 1.) Compute \( p(p-1)! \) mod \( p \) for \( p=7 \) 2.) Compute \( p(p-1)! \) mod \( p \) for \( p=17 \) 3.) Show that the number 4 is not a prime number using Wilson's Theorem. 4.) What is the remainder of 43 ! mod 47 5.) What is the remainder of \( 94!\bmod 97 \)

PN \( =\mathbf{n R T} \) \( \frac{V_{1} \times P_{1}}{T_{1}}=\frac{V_{2} \times P_{2}}{T_{2}} \quad \) Formula de la ley combinada de las gases: \( \frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}} \quad \)

Multiply and make sure your answer is written in lowest terms. \( -\frac{1}{12} \cdot(-12)=\square \)

o make air freshener. Lin mixes 2 drops of lemon oil with 1 ounce of water. Priya mixes 3 drops of lemon oil with 2 unces of water. xplain or show why Lin's mixture has a stronger lemon scent.

\( \lim _ { - \infty } ( 3 x ^ { 2 } - x + 1 ) \)

Evaluate the integral by reversing the order of integration. \( \int_{0}^{1} \int_{2 y}^{2} e^{x^{2}} d x d y= \) Submit answer Next item