PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.19.

EASY

Mathematics

IMPORTANT

Earn 100

$f (x) = x + 1; φ (x) = x - 2$ ; solve the equation
$| f (x) + φ (x) | = | f (x) | + | φ (x) | .$

Important Questions on Introduction to Mathematical Analysis

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.20.

A rectangle with altitude

x

is inscribed in a triangle

A B C

with the base

b

and altitude

h

. Express the perimeter

P

and area

S

of the rectangle as function of

X

.

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :
(a)

f (x) = \sqrt{x - 1} + \sqrt{6 - x}

MEDIUM

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :
(b)

f (x) = \sqrt{x^{2} - x - 2} + \frac{1}{\sqrt{3 + 2 x - x^{2}}}

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \frac{x}{\sqrt{x^{2} - x - 2}}

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \sqrt{\sin x - 1}

HARD

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \sqrt{\log \frac{5 x - x^{2}}{4}}

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \log_{x} 5

EASY

Mathematics

IMPORTANT

PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Function. Domain of Definition>Q 1.2.21.

Find the domains of definition of the following functions :

f (x) = \log \frac{x^{2} - 5 x + 6}{x^{2} + 4 x + 6}