Solved by Expert Tutors
Solved by Expert Tutors
Question

20200906_012225.jpg1.1   Using graphical method, solve the equation; 2 - 3 - 4 =

0.     

                          

1.2 Solve the equation; x2 - 8x + 7 = 0 using the Quadratic Formula          


QUESTIONTWO                                        

 2.1      Differentiate f(x) = (2x3 + 3x2 )(x2 + 5x3 +5) using product rule.                

2.2   Differentiate f(x) = (8x3 + 4x )(2x2 +5) using product rule.                                         

 2.3  Differentiate f(x) = (5x³+7x )/(2x²-4x+5 ) using quotient rule.                                                  

 2.4  Differentiate f(x) = (x³+4)/(4x- 5 ) using quotient rule.                                                          

2.5 Differentiate  (x5 + 6)5 using chain rule                                                                (5)

QUESTION THREE                                 


Verify the statement by showing that the derivative of the right side is equal to the integrand of the left side.                              

3 a.     

  3 b.   

QUESTION FOUR                                                          

4.1  Integrate                                                                                                                      

4.2 Integrate                                                                                                                       

4.3 Integrate                                                                                                                  

4.4 Integrate                                                                                               

4.5 Integrate ∫▒〖x²+3x²+6x) dx〗                                                                                                


QUESTION FIVE    

                                  

5.1      Evaluate the integral ∮_2^4▒(4x^3+5x^4+2)dx                                                                       

5.2      Evaluate the integral ∮_2^4▒(16x^3+4x³)dx                                                                            (

5.3      Find the integral ∮_3^5▒ʃ(9x^2+5x^4+2)dx                                                                             

5.4       Find the derivative of the function of y= □(24&(〖9x〗^4+ 〖6x〗^(-2) ) when x=2)                   

5.5       Differentiate □(24&d/dx (〖-16x〗^(-1)+4x+2) ) when  x=4

20200906_012225.jpg
QUESTIONS
[100 MARKS]
QUESTION ONE
[15 MARKS]
1.1 Using graphical method, solve the equation; x2 - 3x - 4 = 0.
(10)
1.2 Solve the equation; x2 - 8x + 7 = 0 using the Quadratic Formula
(5)
QUESTION TWO
[25 MARKS]
2.1 Differentiate f(x) = (2x3 + 3x2 )(x2 + 5x3 +5) using product rule.
(5)
2.2
Differentiate f(x) = (8x3 + 4x )(2x2 +5) using product rule.
(5)
2.3
Differentiate f(x) = =
5x +7x
2x2 -4x+5
using quotient rule.
(5)
2.4
Differentiate f(x) = -
x +4
4x- 5 using quotient rule.
(5)
2.5
Differentiate (x5 + 6)5 using chain rule
( 5 )
QUESTION THREE
[10 MARKS]
Verify the statement by showing that the derivative of the right side is equal to the integrand of the left
side.
3a. J- Jax = 3+c
3b.
1-
dx = x - 3\/x + C
QUESTION FOUR
[25 MARKS]
4.1 Integrate [ x /dx
(5)
4.2 Integrate [ Vxdx
( 5 )
4.3 Integratedx
(5)
4.4 Integrate 2x/+ 3x -1 dx
(5)
4.5 Integrate S x2 + 3x2 + 6x) dx
(5)
QUESTION FIVE
[25 MARKS]
5.1 Evaluate the integral $2 (4x3 + 5x4 + 2) dx
(5)
5.2
Evaluate the integral $2 (16x3 + 4x3)dx
(5)
5.3 Find the integral f, (9x2 + 5x4 + 2) dx
(5)
5.4
Find the derivative of the function of y = (9x* + 6x-2) when x = 2
(5 )
5.5 Differentiate & (-16x-1 + 4x + 2) when x = 4
(5)
TOTAL MARKS 100

Step-by-step answer

The student who asked this found it Helpful

e vel laoreet ac, dictum vacinia pulvi

8.jpg7.jpg6.jpg5.jpg4.jpg3.jpg2.jpg1.jpg

1.jpg
r

Subscribe to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Let our 24/7 Applied Mathematics tutors help you get unstuck! Ask your first question.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes