100 Marks
Duration: .2 Hours
This paper consists of (6) pages.
Answer all the Questions
Instructions:
• Read the questions carefully.
• Open book examination – Study material permissible
• It is in your own interest to write legibly and to present your work neatly.
• Use of a non-programmable pocket calculator is allowed.
• All working details must be shown.
• Number your answers exactly as the questions are numbered.
• Please start your answer to each question on a new page.
• Please write legibly and present your work neatly.
To upload the examination, login to myUnisa click on “myAdmin”,” Assessment
Admin”and then on “Examination submission”. Choose the module you want to submit.
Remember to click “Submit “once you have finished uploading your examination answer
script.
1
[TURN OVER]
Open Rubric
, SDMAT04
Jan/Feb 2021
Question 1
1.1
The graph of a cubic function f is sketched below.
The equation of the curve is given as 𝑓(𝑥) = −𝑥3 + 𝑏𝑥2 + 𝑐𝑥 −where 𝑏 𝑎𝑛𝑑 𝑐 are
1
constants. If 𝑓(1) = 4, and 𝑓 // ( = 1
2
1.1.1 Find the values of a 𝑎𝑛𝑑 𝑏.
the value of a =-1
to fimd the value of b and c first subtitude f(1)=4 in to original equation
4= -(1)3 +b(1)2 +c(1)
4=-1+b+c………….equation 1
Then find second derivatives meaning
f //(x) =-6x+2b+0 ………..equation 2
Solve for b from equation 2 by substituting f’’(1/2)=1
1=-6(1/2)+2b
1=-3+2b
4=2b
b=2
from equation 1 substitute value of b=2
4=-1+2+c
C=3
(3)
2
[TURN OVER]
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
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 EFT, 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 this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller pheladimello. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R100,00. You're not tied to anything after your purchase.
