WhatsApp-00963951432013 Admin
عدد المساهمات : 2429 نقاط : 302124 السٌّمعَة : 4 تاريخ التسجيل : 20/09/2008 العمر : 54 الموقع : www.aoua.123.st
| موضوع: M129: Applied Calculus Tutor Marked Assignment Cut-Off Date:--------, 2015 Total Marks: 40 Contents Feedback form …………………..…………………….…...….. 2 Question 1 …………………………………………………..……… 3 Question 2 …………………..………………..……………………… 3 Question 3 ……………………..…………… الأربعاء نوفمبر 11, 2015 3:08 am | |
| M129: Applied Calculus Tutor Marked Assignment
Cut-Off Date:--------, 2015 Total Marks: 40
Contents Feedback form …………………..…………………….…...….. 2 Question 1 …………………………………………………..……… 3 Question 2 …………………..………………..……………………… 3 Question 3 ……………………..………………..…………………… 4 Question 4 ………………..………………………..……………… 4 Question 5 …………………………………………………..……… 5 Question 6 …………………………………..……………………… 5 Question 7 …………………………………..…………………… 6 Question 8 ……………………………………..…………………… 6
Plagiarism Warning: As per AOU rules and regulations, all students are required to submit their own TMA work and avoid plagiarism. The AOU has implemented sophisticated techniques for plagiarism detection. You must provide all references in case you use and quote another person's work in your TMA. You will be penalized for any act of plagiarism as per the AOU's rules and regulations.
Declaration of No Plagiarism by Student (to be signed and submitted by student with TMA work): I hereby declare that this submitted TMA work is a result of my own efforts and I have not plagiarized any other person's work. I have provided all references of information that I have used and quoted in my TMA work.
Name of Student: Signature: Date:
M129 TMA Feedback Form
[A] Student Component
Student Name:
Student Number:
Group Number:
[B] Tutor Component
Tutor Name:
QUESTION 1 2 3 4 5 6 7 8 MARK 5 5 5 5 5 5 5 5 SCORE TOTAL
Tutor’s Comments:
This TMA covers only chapters 0, 1, 2, 3 and 4. The TMA consists of eight questions for a total of 40 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [3+2Marks] Let f(x)= x^2-12x+27 , g(x)= 4x^4-4
Find the zeros of g(x) and f(x). Find the points of intersection, if any, of the pair of curves : y=x+3 , x+y=9
Q−2: [2+2+1Marks] Letf(x)= √(4-x) ,g(x)= x^2+2 . Find f(g(x)). Find g(f (x)). Find the domains of the function f(x)= (5x+4)/(x^2-64 )
Q¬−3: [2+3 Marks] Use the definition of the derivative to find f ′(x) if f(x)=9x^2+4x f(x)= 2/(x+1)
Q−4: [2 + 3 Marks]
Find an equation of the tangent line to the graph of f(x)=〖 (3x+1)〗^2 at the point whose x-coordinate is 3.
Find the slope of the tangent line to the curve x+y =xy, at the point (2, 2).
Q−5:[2.5+2.5 Marks] differentiate the following function:
f(x)=(2x^2+1) ∜( x^2+3) f(x)= 〖(x+2)〗^3/√(x^2-3)
Q¬−6: [5×1Marks] Let f(x)=2x^4-56x^3+13 Find f ′(x) and f ′′(x). Find the intervals on which f (x) is increasing or decreasing. Find the local maximum and minimum of f (x), if any. Find the intervals on which the graph of f (x) is concave up or concave down. Find the inflection points of f (x), if any.
Q−7:[5 Marks] find the area of the largest rectangle that can be inscribed in a circle of radius 4
Q¬−8:[5 Marks]Use the logarithmic differentiation to differentiate the function
y= ((x+1)^2 (2x-2))/((x^2-2)〖(2x+3)〗^3 )
| |
|