Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the percentage of compression on the lumbar verteb

The percentage of compression on the lumbar vertebral disks causes strain in an adult human....

90.2K

Verified Solution

Question

Basic Math

image

The percentage of compression on the lumbar vertebral disks causes strain in an adult human. The strain can be measured by S(x) = 7.2956 In(0.0645012 x^0.95 + 1), where x is the physical load in kilograms (kg). Medical scientists are interested in the rate of change of the strain with respect to the load. This can be found with the derivative S'(x) or ds/dx. The derivative can be found by ... using the derivative rule for Inf(x)) to get 5'(x) = (7.2956) [1/(0.0645012 x 0.95 + 1)] * [(0.0645012) (0.95) x^(-0.05)), which can be simplified to approximately S'(x) = [0.44705] / [(0.0645012 x^0.95 + 1)*(x^ 0.05]] using the Chain Rule to get 5'(x) = 7.2956 In(0.0645012 x 0.95 + 1) ((0.0645012)(0.95) x^(-0.05]], which can be simplified to approximately S'(x) = [0.44705 In(0.0645012 x 0.95 + 1)] / [x^0.05] S'(x) = 7.2956 e^(0.0645012 x^0.95 + 1), where e is the irrational number approximated by 2.71828 using the derivative rule for In(f(x)) to get 5'(x) = (7.2956) [1/(0.0645012 x^0.95 + 1)], which can be simplified to S'(x) = 7.2956/(0.0645012 x^0.95 + 1)

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

. After an RODC gets stolen along with a few other computers, Shania, the system administrator, resets...

Programming
Q

11. Describe the five strategies for managing interpersonal conflict.

Psychology
Q

Points 3 Which of the following is NOT a concept considered by Marx in his...

Biology
Q

During an experiment with a metre bridge the galvanometer shows a null point when the...

Physics
Q

Medical researchers are excited about a new cancer treatment that destroys tumors by cutting off...

Basic Math
Q

Researchers wanted to study if wearing cotton clothes is related to depression They surveyed a...

Statistics
Q

1 2 3 6 700 6 2 W 4 70 3 1 5 g x...

Calculus
Q

These two hexagons are similar. Find the area of the smaller one.

Algebra
Q

Plaza, Inc., acquires 80 percent of the outstanding common stock of Stanford Corporation on January...

Accounting
Q

Yoko expects to produce 1.750 uri in January and 2,200 unton Forway. The company budges...

Accounting
Q

Alex and Bess have been in partnership for many years. The partners, who share profits...

Accounting
Q

Consider the following EOY cash flows for two mutually exclusive alternatives. (one must be chosen)...

Finance