Explain qualitatively why truncating the SVD to the top  singular values gives a good low-rank approximation of a matrix.

If , the marginal cost

A 22-year-old right-handed woman with a history of endometriosis presents to the emergency department with progressive difficulty walking and weakness in her left leg for the past 4 days.  On examination her temperature is 37.0 C (98.6 F) blood pressure is 115/70 mm Hg, pulse is 80/min, and respirations are 14/min. There is 4/5 strength throughout the left lower extremity. Reflexes are 2+ biceps and triceps bilaterally, 2+ right patella and Achilles, and 3+ left patella and Achilles. Babinski response is flexor on the right and extensor on the left. There is decreased sensation in her left leg to temperature and pinprick. On further history taking she reports an episode 2 years prior of loss of vision in her right eye which subsequently resolved.  What additional finding is most likely to support your diagnosis?

The steady state of is:

Convert to polar coordinates (

A 24-year-old woman with Graves’ disease presents complaining of blurry and double vision during her afternoon commute driving home from work for the last several months. She also reports weakness with climbing stairs and brushing her hair. She has positive acetylcholine receptor antibodies in her blood. Pyridostigmine leads to improvement of her clinical symptoms. In discussing the patient’s clinical course, which of the following would be the next best diagnostic imaging modality?

To guarantee Academic Integrity, this course uses both “Turnitin” for some reading assignments, and “Honorlock” for some assessments and assignments

A serious, preventable complication of untreated idiopathic intracranial hypotension is:

Assignments will vary from basic worksheets to analytical papers. Reading Assignments (20 %).  Quiz / Test. (30 %)  Presentation / Recording activity (15%). Final Assessment (15%)

Which ABO blood group is considered to be a universal recipient?