Tugas Kalkulus Multivariabel II

Petunjuk :

a. Kerjakan di kertas Folio bergaris.

b. Kumpulkan tugas sesaat sebelum ujian dimulai ke pengawas.

c. Tuliskan nama, nim, kelas dan tanda tangan pada pojok kiri atas kertas jawaban.

Soal

1. Evaluate this integral :

d

2

0

4cos

2. Suppose X is a Density Probability Function with : Diketahui X berdistribusi beta

dengan fungsi kepadatan peluang

10,0,,)1(),(

1)( 11 xnmxx

nmBxP nm

X

Hitunglah E (X) dan Var (X).

3. Determine whether the series is convergent or divergent

a. ...125

1

64

1

27

1

8

11

b. ...55

1

44

1

33

1

22

11

4. A random variable X has a Weibull distribution if it has probability density function

0,0

0,)(

1

xif

xifex

xf

x

a. If 3 and 2 , find the mean

b. If the lifetime of a computer monitor is a random variable X that has a Weibull

distribution with 3 and 2 (where age is measured in years) find the

probability that a monitor fails before two years.