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Evaluate the following integral: (4 pts) Show your work in the upload submission. (2 pts) Input your answer in the provided space. Type sqrt (2) for  )

Evaluate the following integral using FTC 2: (4 pts) Show your work clearly in the upload submission.  (1 pt) Input the final answer in the given space below.

Evaluate the given integral by using the definition of the definite integral as a limit of Riemann sums. Use right endpoints as the sample points. (9 pts) Show your work in the upload submission. Friendly reminder: Make sure to use proper notation and show your work clearly in using properties of sums and limits. (2 pts) Input the definition of the definite integral as a limit of Riemann sums in the given space below. When using the equation editor, you don’t have to input the index of the sigma, if not possible. (2 pts) Input the final answer in the given space below.

Given:      1≤x≤3 Find the expression for the area under the graph of f as a limit of a Riemann sum using right endpoints. Do not evaluate the limit. (6 pts) Clearly show your work in the upload submission. (2 pts) Use the equation editor to input the answer in the provided space below. The exact actual area as a limit of a Riemann sum using right endpoints is: ___________________

Given: a) (3 pts) Sketch the graph of f(x) for the entire domain in the upload submission. b) (5 points) Estimate the area under the curve of f(x) from x=1 to x=4 using six rectangles with right endpoints. Sketch the rectangles used and show clearly your computations in your written upload. Use fractions and not decimals in your computations. c) (2 pts) Input your answer in the provided space below. The estimated area under the curve from x=1 to x=4 is ______________  

For the given function, find the derivative using FTC 1: (5 pts) Show your work clearly in the upload submission.  (2 pts) Input one middle line of your work in the given space below. (1 pt) Input the final answer in the given space below.

If you face extenuating circumstances preventing you from meeting a deadline, when should you contact your instructor?

Students can retake a Knowledge Check as many times as they want before the due date.

Quality and safety are integral to providing care to patients in the hospital setting.  Barcode medication administration, Electronic order entry, and Bed alarms are all examples of innovations improving patient safety.

You are following a 15 yo male who initial A1c was 8%.  You treated him with pharmacologic agents and repeat A1c is 6.5%, indicating glycemic control has been attained.  Which labs would you order to help differentiate if this adolescent has Type 1 or Type 2 DM (choose all that apply)