COS3751 Question and Answers Exams Merged (Easily Searchable)
11 views 0 purchase
Course
Techniques of Artificial Intelligence (COS3751)
Institution
University Of South Africa (Unisa)
Hello,
I'm excited to share a valuable resource for your MAT1503 exam preparation - a merged and easily searchable PDF of Questions and Answers. This tool is especially useful if your exam allows open-book format, as it enables you to quickly navigate and find the information you need.
I pers...
Instructions for answering this paper:
RELAX!
ALL questions must be answered.
Marks denote percentages.
Read each question carefully!
Number your answers clearly.
Make neat skecthes of any graphs in your examination book and state all reasoning clearly.
Solve the following initial value problem for y as a function of x:
d
== =x cos (x! +2); yO) =1. [4]
QUESTION 11
Find £&2 if /1 + xy? = 2xy. [3]
QUESTION 12
Use logarithmic differentiation to differentiate g (x)
3 Jxer (x2 + 1)"
g(x) = (In (x))? +sin’x
[3]
, QUESTION 13
Newton’s Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference
between the object and its surroundings. Suppose that a roast turkey is taken from an oven when its temperature has
reached 185°F and is placed on a table in a room where the temperature is 75°F. If u (¢) is the temperature of the
turkey after ¢ minutes, the Newtons Law of Cooling implies that
du
— =k —-173).
ar Kw=T75)
This could be solved as a separable differential equation. Another method is to make the change of variable y =
u— 75.
(a) What initial-value problem does the new function y satisfy? What is the solution?
(b) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 45 minutes?
(c) When will the turkey have cooled to 100°F? [5]
QUESTION 14
For a real gas, van der Waals equation states that
na
Here P is the pressure of the gas, J is the volume of the gas, T is the temperature (in degrees Kelvin), » is the
number of moles of gas, R is the universal gas constant and a and b are constants. Compute and interpret
oP oT
= and —. 5]
ar oP
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ExamMasteryHub. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $19.78. You're not tied to anything after your purchase.
