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Bachelor of Science (B.Sc.)

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Teaches

BSc Tuition

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3

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No

BSc Branch

BSc Mathematics

BSc Mathematics Subjects

Probability and Statistics, Algebra, Numerical Methods and Programming, Mechanics, Differential Equations and Mathematical Modelling, Discrete Mathematics, Mathematical Finance, Calculus, Analysis

BTech Tuition

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BTech 1st Year Engineering

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Crash Course, Regular Classes

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Group Classes, One on one/ Private Tutions

Taught in School or College

No

BTech 1st Year subjects

Advanced Mathematics (M2), Engineering Mathematics (M1)

Class 9 Tuition

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Years of Experience in Class 9 Tuition

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ICSE, State, International Baccalaureate, CBSE, IGCSE

IB Subjects taught

Mathematics

CBSE Subjects taught

Mathematics

ICSE Subjects taught

Mathematics

IGCSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Class 10 Tuition

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ICSE, State, International Baccalaureate, CBSE, IGCSE

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Mathematics

CBSE Subjects taught

Mathematics

ICSE Subjects taught

Mathematics

IGCSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Class 11 Tuition

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Years of Experience in Class 11 Tuition

3

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CBSE, State

CBSE Subjects taught

Mathematics

Taught in School or College

No

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Mathematics

Class 12 Tuition

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CBSE, State

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Mathematics

Taught in School or College

No

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Mathematics

Engineering Diploma Tuition
1 Student

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Engineering Diploma 1st Year

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Basic Math

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I teach BSc Tuition, BTech Tuition, Class 10 Tuition, Class 11 Tuition, Class 12 Tuition, Class 9 Tuition and Engineering Diploma Tuition Classes.

3. Do you provide a demo class?

Yes, I provide a free demo class.

4. How many years of experience do you have?

I have been teaching for 3 years.

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Answers by Kapil (3)

Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Unit I: Relations and Functions/NCERT Solutions/Exercise 1.2

In each of the following cases, state whether the function is one-one, onto or bijective. Justify... ...more

(i) it is given that f : R → R defined by f (x) = 3 – 4x.⇒ f is one- one we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.Let's try the inverse of f(x) = 3 - 4xy = 3 - 4xy - 3 = 4x => x = (y - 3)/4f?¹(x)... ...more


(i)  it is given that f : R → R defined by f (x) = 3 – 4x
.

⇒ f is one- one

we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.
Let's try the inverse of f(x) = 3 - 4x
y = 3 - 4x
y - 3 = 4x => x = (y - 3)/4
f?¹(x) = (x - 3)/4
hence, f(x) is inversible .
so, f(x) is one - one and onto function.
hence, f(x) is bijective function [ if any function is one -one and onto then it is also known as bijective function.]

(ii) it is given that f :R→R defined by f(x) = 1 +x²

.


now, f(1) = f(-1) = 2
so, f is not one - one function.

also for all real value of x , f(x) is always greater than 1 . so, range of f(x) ∈ [1,∞)
but co-domain ∈ R
e.g., Co - domain ≠ range
so, f is not onto function.
also f is not bijective function.

Answers 2 Comments
Dislike Bookmark

Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Application of Derivatives/NCERT Solutions/Exercise 6.2

Prove that the function given by is increasing in R. ...more

Step 1: Let f(x)=x3−3x2+3x−100f(x)=x3−3x2+3x−100 Differentiating w.r.t xx f′(x)=3x2−6x+3f′(x)=3x2−6x+3 =3(x2−2x+1)=3(x2−2x+1) =3(x−1)2=3(x−1)2 Step 2: For any x∈R,(x−1)2>0x∈R,(x−1)2>0 Thus f′(x)f′(x)... ...more
Step 1:
Let f(x)=x3−3x2+3x−100f(x)=x3−3x2+3x−100
Differentiating w.r.t xx
f′(x)=3x2−6x+3f′(x)=3x2−6x+3
=3(x2−2x+1)=3(x2−2x+1)
=3(x−1)2=3(x−1)2
Step 2:
For any x∈R,(x−1)2>0x∈R,(x−1)2>0
Thus f′(x)f′(x) is always positive in RR.
Hence,the given function ff is increasing in RR.
Answers 3 Comments
Dislike Bookmark

Answered on 13/06/2019 Learn Tuition/Class XI-XII Tuition (PUC) +1 CBSE/Class 10

What is the tution fee for 1st PUC Mathematics,Physics and Computer science  per hou?

5000/month, 3 class/week.
Answers 192 Comments
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Teaches

BSc Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in BSc Tuition

3

Type of class

Crash Course, Regular Classes

Class strength catered to

Group Classes, One on one/ Private Tutions

Taught in School or College

No

BSc Branch

BSc Mathematics

BSc Mathematics Subjects

Probability and Statistics, Algebra, Numerical Methods and Programming, Mechanics, Differential Equations and Mathematical Modelling, Discrete Mathematics, Mathematical Finance, Calculus, Analysis

BTech Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in BTech Tuition

3

BTech Branch

BTech 1st Year Engineering

Type of class

Crash Course, Regular Classes

Class strength catered to

Group Classes, One on one/ Private Tutions

Taught in School or College

No

BTech 1st Year subjects

Advanced Mathematics (M2), Engineering Mathematics (M1)

Class 9 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 9 Tuition

3

Board

ICSE, State, International Baccalaureate, CBSE, IGCSE

IB Subjects taught

Mathematics

CBSE Subjects taught

Mathematics

ICSE Subjects taught

Mathematics

IGCSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Class 10 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 10 Tuition

3

Board

ICSE, State, International Baccalaureate, CBSE, IGCSE

IB Subjects taught

Mathematics

CBSE Subjects taught

Mathematics

ICSE Subjects taught

Mathematics

IGCSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Class 11 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 11 Tuition

3

Board

CBSE, State

CBSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Class 12 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 12 Tuition

3

Board

CBSE, State

CBSE Subjects taught

Mathematics

Taught in School or College

No

State Syllabus Subjects taught

Mathematics

Engineering Diploma Tuition
1 Student

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Engineering Diploma Tuition

3

Engineering Diploma Branch

Engineering Diploma 1st Year

Engineering Diploma Subject

Basic Math

Type of class

Crash Course, Regular Classes

Class strength catered to

Group Classes, One on one/ Private Tutions

Taught in School or College

No

No Reviews yet!

Answers by Kapil (3)

Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Unit I: Relations and Functions/NCERT Solutions/Exercise 1.2

In each of the following cases, state whether the function is one-one, onto or bijective. Justify... ...more

(i) it is given that f : R → R defined by f (x) = 3 – 4x.⇒ f is one- one we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.Let's try the inverse of f(x) = 3 - 4xy = 3 - 4xy - 3 = 4x => x = (y - 3)/4f?¹(x)... ...more


(i)  it is given that f : R → R defined by f (x) = 3 – 4x
.

⇒ f is one- one

we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.
Let's try the inverse of f(x) = 3 - 4x
y = 3 - 4x
y - 3 = 4x => x = (y - 3)/4
f?¹(x) = (x - 3)/4
hence, f(x) is inversible .
so, f(x) is one - one and onto function.
hence, f(x) is bijective function [ if any function is one -one and onto then it is also known as bijective function.]

(ii) it is given that f :R→R defined by f(x) = 1 +x²

.


now, f(1) = f(-1) = 2
so, f is not one - one function.

also for all real value of x , f(x) is always greater than 1 . so, range of f(x) ∈ [1,∞)
but co-domain ∈ R
e.g., Co - domain ≠ range
so, f is not onto function.
also f is not bijective function.

Answers 2 Comments
Dislike Bookmark

Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Application of Derivatives/NCERT Solutions/Exercise 6.2

Prove that the function given by is increasing in R. ...more

Step 1: Let f(x)=x3−3x2+3x−100f(x)=x3−3x2+3x−100 Differentiating w.r.t xx f′(x)=3x2−6x+3f′(x)=3x2−6x+3 =3(x2−2x+1)=3(x2−2x+1) =3(x−1)2=3(x−1)2 Step 2: For any x∈R,(x−1)2>0x∈R,(x−1)2>0 Thus f′(x)f′(x)... ...more
Step 1:
Let f(x)=x3−3x2+3x−100f(x)=x3−3x2+3x−100
Differentiating w.r.t xx
f′(x)=3x2−6x+3f′(x)=3x2−6x+3
=3(x2−2x+1)=3(x2−2x+1)
=3(x−1)2=3(x−1)2
Step 2:
For any x∈R,(x−1)2>0x∈R,(x−1)2>0
Thus f′(x)f′(x) is always positive in RR.
Hence,the given function ff is increasing in RR.
Answers 3 Comments
Dislike Bookmark

Answered on 13/06/2019 Learn Tuition/Class XI-XII Tuition (PUC) +1 CBSE/Class 10

What is the tution fee for 1st PUC Mathematics,Physics and Computer science  per hou?

5000/month, 3 class/week.
Answers 192 Comments
Dislike Bookmark

Contact

Kapil describes himself as Tutor. He conducts classes in BSc Tuition, BTech Tuition and Class 10 Tuition. Kapil is located in Knowledge Park I, Noida. Kapil takes at students Home and Regular Classes- at his Home. He has 3 years of teaching experience . Kapil has completed Bachelor of Science (B.Sc.) from Agra university in 2010. He is well versed in English and Hindi.

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