A-AS Level (CIE) Mathematics Paper-5: Specimen Questions with Answers 15 - 17 of 20

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Question 15

Question

MCQ▾

The value of the integral is ________

Choices

Choice (4)

a.

0

b.

c.

d.

Answer

c.

Explanation

Evaluation of Definite Integrals by Substitution:

Let and let be continuous over an interval , and let be continuous over the range of . Then,

Let

When and

given,

Question 16

Question

MCQ▾

The degree of the differential equation is

Choices

Choice (4)

a.

6

b.

2

c.

3

d.

4

Answer

a.

Explanation

Degree of Differential Equation:

The degree of the differential equation is the power of the highest order derivative, where the original equation is represented in the form of a polynomial equation in derivatives such as , and so on.

Suppose is a differential equation, so the degree of this equation here is .

Equation:

squaring,

Here degree

Question 17

Question

MCQ▾

The order of the differential equation whose general solution is given by , where are arbitrary Constant is________.

Choices

Choice (4)

a.

b.

5

c.

4

d.

3

Answer

d.

Explanation

Order of Differential Equation:

The order of the differential equation is the order of the highest order derivative present in the equation. Here some examples for different orders of the differential equation are given.

, The order of the equation is

. The order is

. The order is

where are arbitrary Constant. ( Constant)

order

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