Biomaterials are man-made materials that are used to replace tissues or that function in intimate contact with living tissues.

Materials used to replace lost oral tissues are called impression materials.

Hello,  You are about to enter the problems portion of the exam. Before you do that, take a deep breath, and know that you are almost finished with the semester, Be sure to treat yourself after.  This is a simple question that rounds out your exam points and includes 5 points extra.  Instructions:  Tell me about your favorite summer activity and favorite dessert. ***Keep is short. Ex. Vegas and cinnamon rolls.***

Knowledge     Determine the number of roots, using the strategies discussed in class. a)  y = 3(x + 1)2  + 4  b)  y = -1/2(x + 2)(x – 2) c)  y = -2×2 + 4x + 1

Thinking     Determine the points of intersection of the liney = 2x + 4 and the parabola y = x² + 3x – 4 Hint – use substitution, then make equal to zero.

Application     Given the quadratic relation y = -x2 + 6x – 6, a)  write the equation in vertex form using the method discussed in class b)  graph the quadratic relation (using Google Drawings, or by hand) using transformations on y = x2. Insert your graph image (or link) here.  

The height of a firework is given by:h = -5t² + 80t + 3 a) What height was the firework launched from? (1) b) Find the maximum height and the time it occurs by completing the square. Show all steps. (5) c) When does the firework hit the ground? Round to 2 decimal places. (3)

Thinking     Determine the points of intersection of the liney = 2x + 5 and the parabola y = x² + 3x – 10 Hint – use substitution, then make equal to zero.

The height of a rocket above the ground is given by the formula:h = -4.9t² + 98t + 1.5,where h is the height in metres and t is the time in seconds. a) What height was the rocket launched from? (1) b) Calculate the maximum height the rocket reaches, and the time at which it reaches this height by completing the square. Show your work. (5) c) Determine the time (to 2 decimal places) the rocket hits the ground. Show your process. (3)

Question 10 (10 points) The density at any point on a semicircular lamina is proportional to the distance from the center of the circle     Find the mass of the lamina.  Set-up (but do not evaluate) the integrals for the moments about the