100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
MAT1510 Assignment 2 2024 - DUE 31 May 2024 $2.71
Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of South Africa
  4.  
  5. Precalculus Mathematics A - MAT1510 (MAT1510)

Exam (elaborations)

MAT1510 Assignment 2 2024 - DUE 31 May 2024
 1 purchase
  • Course
  • Precalculus Mathematics A - MAT1510 (MAT1510)
  • Institution
  • University Of South Africa
  • Book
  • Precalculus: Mathematics for Calculus

MAT1510 Assignment 2 2024 (Unique Number: 186115) - DUE 31 May 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... ASSIGNMENT 02 Due date: Friday, 31 May 2024 Total Marks: 100 UNIQUE ASSIGNMENT NUMBE...

[Show more]

Preview 3 out of 24  pages

Document information

  • May 16, 2024
  • 24
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

Subjects

  • mat1510 assignment 2 due 31 may 2024

Connected book

book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:

More summaries for

  • PRECALCULUS MATHEMATICS FOR CALCULUS 7TH EDITION STEWART TEST BANK |QUESTIONS AND CORRECT ANSWER KEY
All for this textbook (1)

Written for

  • University of South Africa
  • Precalculus Mathematics A - MAT1510 (MAT1510)
All documents for this subject (3)

Seller

avatar-seller
LIBRARYpro

Reviews received

Content preview

MAT1510
ASSIGNMENT 2 2024
UNIQUE NO. 186115
DUE DATE: 31 MAY 2024

, ASSIGNMENT 02
Due date: Friday, 31 May 2024
Total Marks: 100
UNIQUE ASSIGNMENT NUMBER: 186115

ONLY FOR YEAR MODULE

This assignment covers chapter 2 of the prescribed book as well as the study guide

DO NOT USE A CALCULATOR.

Question 1: 13 Marks

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give
an example that disproves the statement.

(1.1) If f is a function, then f (s + t) = f (s) + f (t). (3)

(1.2) If f (s) = f (t), then s = t. (2)

(1.3) If f is a function, then f (3x) = 3f (x). (3)

(1.4) A vertical line intersects the graph of a function at most once. (2)
1
(1.5) If f is one-to-one, then f − 1 (x) = . (3)
f (x)

Question 2: 9 Marks

The perimeter of a rectangle is 16 meters.

(2.1) If the length of one of the sides of the rectangle is (1 + x) meters, express the area A of the (4)
rectangle in terms of x.

(2.2) Calculate the maximum area of the rectangle. (3)

(2.3) What are the dimensions of the rectangle when its area is a maximum? (2)

Question 3: 6 Marks

Suppose a stone is thrown vertically upwards with a velocity ofu meters per second. Then its height is h (in
meters) after t seconds is given by the formula
h = ut − 4.8t 2 .


(3.1) Suppose the stone is thrown upwards with a velocity of 24 meters per second. Sketch the (5)
graph of the function defined by
h = ut − 4.8t 2 .
Label the axes properly, and show the coordinates of the critical points on the graph clearly.


16

, MAT1510/101/0/2023


(3.2) What is the maximum height that the stone reaches? (1)


Question 4: 6 Marks

Sketch the graph of the function g(x) which is piecewise-defined by

(4.1) (4)

 − x 2 + 2x + 3 if x < 1
g(x) = 4 if x = 1
 2
x − 2x + 5 if x > 1


(4.2) Explain why g is called a function. (1)

(4.3) Is g a one-to-one function? Give a reason for your answer. (1)


Question 5: 20 Marks




The sketch shows the graph of the functions f and g. Function f is defined by

y = f (x) = m|x − p| + q


17

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

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

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

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 LIBRARYpro. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $2.71. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

69052 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling
$2.71  1x  sold
  • (0)
Add to cart
Added