Quiz about JD24 - DUM30162 - QUIZ 1

Question 1

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

Accepted Answer

1, 4, 6, 4, 1

Answer

1, 2, 4, 2, 1

Answer

1, 4, 4, 1

Answer

1, 5, 6, 5, 1

Question 2

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

Accepted Answer

11

Answer

10

Answer

12

Answer

13

Question 3

Calculate the value of 5!

Accepted Answer

120

Answer

25

Answer

125

Answer

240

Question 4

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

Accepted Answer

Logarithmic Function

Answer

Exponential Function

Answer

Algebraic Function

Answer

Trigonometric Function

Question 5

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

Accepted Answer

$$8+12y+6y^2+y^3$$

Answer

$$2+6y+4y^2+y^3$$

Answer

$$4+6y+12y^2+y^3$$

Answer

$$2+6y+8y^2+y^3$$

Question 6

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

Accepted Answer

$$-4320m^3n^3$$

Answer

$$-1080m^3n^3$$

Answer

$$-1440m^3n^3$$

Answer

$$-5660m^3n^3$$

Question 7

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

Accepted Answer

Question 8

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

Accepted Answer

1

Answer

$$\frac{1}{x}$$

Answer

$$-x$$

Answer

$$-3x$$

Question 9

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

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

Accepted Answer

$$\frac{x^4}{24}$$

Answer

$$\frac{x^2}{2}$$

Answer

$$\frac{x^3}{3}$$

Answer

$$\frac{x^3}{9}$$

JD24 - DUM30162 - QUIZ 1

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