Mathematical Methods of Physics-Taylor & Laurent Series (CSIR Physical Sciences): Questions 5 - 6 of 6

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Question number: 5

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2011

MCQ▾

Question

The first few terms in the Taylor series expansion of the function f(x)=sinx around x=π4 are - (December)

Choices

Choice (4) Response

a.

12[1+(xπ4)+12!(xπ4)2+13!(xπ4)3+]

b.

12[1+(xπ4)12!(xπ4)213!(xπ4)3+]

c.

12[1x+x22!x33!]

d.

[(xπ4)13!(xπ4)3]

Passage

Consider the matrix M=(111111111) (June)

Question number: 6 (1 of 1 Based on Passage) Show Passage

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2011

MCQ▾

Question

The exponential of M simplifies to (I is the 3×3 identity matrix)

Choices

Choice (4) Response

a.

eM=I+33M

b.

eM=I+M+M22!

c.

eM=I+(e313)M

d.

eM=(e1)M

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