set 1. When the product of 10 and 15 is divided by the sum 33 (12) of 10 and 15 , what is the quotient? 2. The Nile River is 6651 kilometers long. The (13) Mississippi River is 5986 kilometers long. How much longer is the Nile? What type of pattern do we use? 3. Some astronomers think the universe may be fifteen (12) billion years old. Use digits to write that number.

Find the product of 101 and 8

11. Determine la longitud de la curva a. \( r(t)=\left(12 t, 88^{\frac{3}{2}}, 3 t^{2}\right) \quad 0 \leq t \leq 1 \) b. \( r(t)=\left(1, t^{2}, t^{3}\right) \quad 0 \leq t \leq 1 \)

Consider the trigonometric expression \( \cos 4 x-\cos 2 x \) 1.1.1 Which option is a simplified form of \( \cos 4 x-\cos 2 x \) A \( -2 \sin 3 x \sin x \) B \( 2 \cos 3 x \cos x \) C \( 2 \sin 3 x \cos x \) D \( 2 \sin x \cos 3 x \) Answer: \( \quad \) (A/B/C or D) 1.1.2 Determine the general solution for the equation below, and hence solve for \( x \) in the interval \( \left[0 ; \frac{\pi}{2}\right] \). Show all working details. \( \cos 4 x-\cos 2 x=0 \)

\( x=2 t^{2}+5 \) parat \( =-5,-2,-3-2,-1,0 \)

What type of exponent does an equation have if it has only one answer? EVEN or ODD What type of exponent does an equation have if it has two answers? EVEN or ODD