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

Consider a hospital debating whether it should adopt advanced Electronic Medical Records (EMR) technology, or stay with its current setup. Adoption of advanced EMR will incur a short term cost, but is expected to improve future payoffs for the hospital. How can adoption of EMR technology improve hospital payoffs? “Hospitals … can better consolidate information through the digitalization of data, which helps health-care providers to store, retrieve, and examine these data more efficiently… help hospitals to improve health-care quality further by providing physicians with effective decision support and easy care coordination.” (Wang 2022 IER, “Competition and multilevel technology adoption”). Suppose the hospital is forecasting 4 years ahead. Its stream of profits from each decision is given below, where t = 0 denotes current year. t = 0 t = 1 t = 2 t = 3 t = 4 Current tech 5000 4000 3000 2000 500 Upgrade to advanced tech -3000 6000 5000 5000 4000   Let PDV denote “present discounted value”. The interest rate is 5%, so r = 0.05. Round your answers to 2 decimal places. What is the PDV from staying at current tech? [a1] What is the PDV from upgrading to advanced tech? [a2] Should the firm upgrade? (Type in “Yes” or “No”) [a3]