Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 8 - 11 of 20

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Question number: 8

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

Question

For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –

Choices

Choice (4) Response

a.

9

b.

10

c.

8

d.

Question number: 9

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

Question

A function is defined as,

It is a family of quadratic polynomials in with variable coefficients. And also function,

Which of the following statements are true?

(i)

(ii) has infinitely many critical points.

(iii) (Model Paper)

Choices

Choice (4) Response

a.

(iii) and (i) only

b.

(i) and (ii) only

c.

(iii) only

d.

(ii) and (iii) only

Question number: 10

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

Question

For a real number let denote the largest integer less than or equal to and . Let be a positive integer. Then is equal to –

Choices

Choice (4) Response

a.

0

b.

c.

1

d.

Question number: 11

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2014

MCQ▾

Question

A continuous function satisfies the equation,

Which of the following options is true?

Choices

Choice (4) Response

a.

b.

c.

d.

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