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(a)  Is the function f(x)=|x|  differentiable at x=0? (b)  Does the function f(x)= x3 -x satisfy the hypothesis of the Rolle’s Theorem on [0, 2]?

The angle, in degrees, that is formed between line of sight with the top of a tall building and the horizontal at a distance feet from the base of the building is given by function .  What are the units of

Suppose is a function such

A force of 12 lbs is required to maintain a certain spring stretched to a length of  ft beyond its natural length.  Which of the following integrals represents the amount of work, in foot-pounds, done in stretching the spring from its natural length to 1 ft beyond its natural length?

What is the average value of the function over the interval ?

Your first patient in the spring has hypothyroid and hypertension, controlled with levothyroxine and lisinopril.  The vitals for today are 142/84, pulse 80 and respirations 14.  They haven’t had a dental appointment in a year and had bitewings taken then.  Your head and neck findings indicate a few abnormalities to chart and their periodontal assessments indicates that they have localized recession on premolars and generalized 1-3mm probe depths.  They indicate that they clench at night and you find that some of the anterior teeth move less than 1mm when you test mobility using 2 blunt ends of instruments. Since they are low risk for caries and have no dental concerns, you determine that they do not need new radiographs. Use this information to answer the following questions. QUESTION: Which is incorrect technique when scaling with the H5/33? 

You are working with a dental faculty to complete an initial appointment on a new patient during an NPE appointment. Since the patient had radiographs transferred, you had time after completing the head and neck exam to do a periodontal evaluation and record a PSR score. After completing this evaluation you enter these scores into the PSR chart and discuss your findings with your faculty member. Use this information to answer the following questions. 3 2 4 3* 2* 2 QUESTION: Which is the main instrument that you are using to conduct the PSR periodontal evaluation?

Your first patient in the spring has hypothyroid and hypertension, controlled with levothyroxine and lisinopril.  The vitals for today are 142/84, pulse 80 and respirations 14.  They haven’t had a dental appointment in a year and had bitewings taken then.  Your head and neck findings indicate a few abnormalities to chart and their periodontal assessments indicates that they have localized recession on premolars and generalized 1-3mm probe depths.  They indicate that they clench at night and you find that some of the anterior teeth move less than 1mm when you test mobility using 2 blunt ends of instruments. Since they are low risk for caries and have no dental concerns, you determine that they do not need new radiographs. Use this information to answer the following questions. QUESTION: Which three permanent teeth will mark as “missing” in the odontogram? 

Your new patient is a 20 year old college student who is slightly overdue for his 6 month recall. He had radiographs transferred that included a set of bitewings and panoramic taken 8 months ago. He does not report any health issues and only takes a multivitamin, no medications.  He reports alcohol use 4-5 times per week, smoking marijuana 2 times weekly, occasional smokeless tobacco use and using e-cigarettes for vaping daily. His vitals today are 110/72, pulse 74, respirations 16.  The risk assessments indicate a moderate risk for perio, caries and nutrition.  You have some findings on the head and neck exam to discuss with the faculty and the periodontal findings indicate 4mm probe depths posterior proximals and recession where he uses the smokeless tobacco. QUESTION: Which instrument could access the stains from smoking on the anterior lingual fossas? 

Your first patient in the spring has hypothyroid and hypertension, controlled with levothyroxine and lisinopril.  The vitals for today are 142/84, pulse 80 and respirations 14.  They haven’t had a dental appointment in a year and had bitewings taken then.  Your head and neck findings indicate a few abnormalities to chart and their periodontal assessments indicates that they have localized recession on premolars and generalized 1-3mm probe depths.  They indicate that they clench at night and you find that some of the anterior teeth move less than 1mm when you test mobility using 2 blunt ends of instruments. Since they are low risk for caries and have no dental concerns, you determine that they do not need new radiographs. Use this information to answer the following questions. QUESTION: Based on their occlusion in this photo, what irregularity may be contributing to the anterior mobility?