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Worksheets

JD24 - DUM30162 - QUIZ 1

Total questions: 10

Worksheet time: 2hrs 47mins

Name
Class
Date
1.

Which one is the coefficient in Pascal Triangle for n = 4 ?

a)

1, 2, 4, 2, 1

b)

1, 4, 4, 1

c)

1, 5, 6, 5, 1

d)

1, 4, 6, 4, 1

2.

How many terms that you can get if (p+q)10\left(p+q\right)^{10} is being expand completely ?

a)

10

b)

11

c)

12

d)

13

3.

Calculate the value of 5!

a)

25

b)

125

c)

120

d)

240

4.

Which function that CAN'T be expand by using Maclaurins' Series ?

a)

Logarithmic Function

b)

Exponential Function

c)

Algebraic Function

d)

Trigonometric Function

5.

Expand the followings using Pascal Triangle, (2 +y)3\left(2\ +y\right)^3

a)

2+6y+4y2+y32+6y+4y^2+y^3

b)

8+12y+6y2+y38+12y+6y^2+y^3

c)

4+6y+12y2+y34+6y+12y^2+y^3

d)

2+6y+8y2+y32+6y+8y^2+y^3

6.

State the value for the middle term for an expansion of (2m3n)6\left(2m-3n\right)^6

a)

1080m3n3-1080m^3n^3

b)

1440m3n3-1440m^3n^3

c)

4320m3n3-4320m^3n^3

d)

5660m3n3-5660m^3n^3

7.

Which one of the followings are correct to calculate the 4th term for (a+b)4\left(a+b\right)^4 by using Binomial Series ?

a)

b)

c)

d)

8.

What is the first term for expansion of (1+x)3\left(1+x\right)^{-3} ?

a)

1x\frac{1}{x}

b)

x-x

c)

3x-3x

d)

1

9.

Using Maclaurin Series, expand f(x)=sinxf\left(x\right)=\sin x until the second terms.

a)

f(x)=1+x22!f\left(x\right)=1+\frac{x^2}{2!}

b)

f(x)=x+x22!f\left(x\right)=x+\frac{x^2}{2!}

c)

f(x)=xx33!f\left(x\right)=x-\frac{x^3}{3!}

d)

f(x)=1+x33!f\left(x\right)=1+\frac{x^3}{3!}

10.

State the fifth term for the expansion of f(x)=exf\left(x\right)=e^x by using Maclaurins Series ?

a)

x22\frac{x^2}{2}

b)

x33\frac{x^3}{3}

c)

x39\frac{x^3}{9}

d)

x424\frac{x^4}{24}