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Answered on 05 Sep CBSE/Class 12/Science/Mathematics

Which hardware device I should use to write mathematics sums in online classes?

 

Mariat J.

Mathematics Teacher

Wacom Pen Tablet
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Answered on 30 Aug CBSE/Class 12/Science/Mathematics

Jaswant

400 per Hour
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Lesson Posted on 04 Aug CBSE/Class 12/Science/Mathematics

Understanding Limits Through Graphs

Abhilash K S

Faculty for Engineering Mathematics in a private tuition center. Faculty for CAT/GMAT/GRE/SAT. Faculty...

Maths is often taught mechanically. Just consider the case of limits. Most of the standard textbooks define, the limit is the value that a function "approaches" as the input "approaches" some value. This neither gives the "feel" of maths, nor a beginner can appreciate its "beauty". A graphical approach... read more

Maths is often taught mechanically. Just consider the case of limits. Most of the standard textbooks define, the limit is the value that a function "approaches" as the input "approaches" some value.

This neither gives the "feel" of maths, nor a beginner can appreciate its "beauty". A graphical approach is often more insightful.

Consider, the graph of f(x)=1/x.

In this case, at X=0, the value of f(x) approaches minus infinity if we approach from the negative side of the number line and f(x) approaches plus infinity if we approach from the positive side of the number line. Essentially, the limit doesn't exist as LHL is minus infinity and RHL is plus infinity.

Now to make it more clear consider the graph of f(x)=1/x^2

Here at x=0, both LHL and RHL approaches plus infinity. Hence limit exists as plus infinity at x=0.
Just by observing these two graphs a beginner gets an insight into when a limit is said to exist and when not.

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Answered on 04 Aug CBSE/Class 12/Science/Mathematics

Debesh Mukherjee

Mathematics & Statistics Teacher

Rs 300 per hour of Teaching/Coaching Mathematics which I usually charged for each student. = Debesh Mukherje
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Answered on 20 Aug CBSE/Class 10/Mathematics/UNIT III: Coordinate Geometry/Coordinate geometry/Class 10 Difference between two points and section formula CBSE/Class 12/Science/Mathematics

Ashwani Pandey

Teacher

There is only one solution.
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Answered on 19 Jul CBSE/Class 10/Mathematics/UNIT III: Coordinate Geometry/Coordinate geometry/Class 10 Difference between two points and section formula CBSE/Class 12/Science/Mathematics

How many solutions are there for 

F(x)= 2^(x) - x-2

Ankita Das

Tutor

the number of solution is x
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Answered on 05 Aug CBSE/Class 10/Mathematics/UNIT III: Coordinate Geometry/Coordinate geometry/Class 10 Difference between two points and section formula CBSE/Class 12/Science/Mathematics

How many solutions are there for 

F(x)= 2^(x) - x-2

Manu BK

Tutor

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Lesson Posted on 05 Jul CBSE/Class 12/Science/Mathematics

Worksheet on Inverse trigo & Differentiation

Prateek Srivastava

I had completed my M-Tech and working as HOD Mathematics in a prestigious school of Noida as well as...

(CONCEPT BASED) Using principal value, find the value of cos^(-1) ? (cos ? ??(2 π)/3 ?? )+sin^(-1) ? (sin ? ??(2 π)/3 ?? ) Differentiate tan-1 w.r.t. x If e^x ??+e ??^y=e^(x+y), prove that dy/dx + e^(y-x)=0 Differentiate cos^(-1) ? ??((x+ √(1-x^2 ))/√2) ?? w.r.t. x If y √(x^2+1)=log... read more

(CONCEPT BASED)
Using principal value, find the value of cos^(-1)â?¡(cosâ?¡ã??(2 π)/3ã?? )+sin^(-1)â?¡(sinâ?¡ã??(2 π)/3ã?? )
Differentiate tan-1[(√(1+ x^2 ) -1)/x] w.r.t. x
If e^x ã??+eã??^y=e^(x+y), prove that dy/dx + e^(y-x)=0
Differentiate cos^(-1)â?¡ã??((x+ √(1-x^2 ))/√2)ã?? w.r.t. x
If y √(x^2+1)=logâ?¡ã??(√(x^2+1)-x)ã??, then show that (x2 +1 ) dy/dx + xy + 1 = 0
Let y = (log x)x + xx cosx, then find dy/dx


(APPLICATION BASED)
If tan-1a + tan-1b + tan-1c = π/2 ; prove that ab + bc +ca = 1
Prove that 2 tan-1(1/2) + tan-1 (1/7) = sin-1(31/(25√2))
Solve cos-1((x^2-1)/(x^2+1)) + tan-1(2x/(x^2-1)) = 2π/3
If x^p y^q=ã??(x+y)ã??^(p+q), prove that dy/dx=y/x
Find dy/dx, if y = sin^(-1) (2θ/(1+ θ^2 )) and x = tan^(-1) (2θ/(1- θ^2 ))
If y = x sin y, prove that xdy/dx =y/(1-x cos y)
Prove that: 2 tan-1(√((a-b)/(a+b)) tanâ?¡ã??x/2ã??) = ã??cosã??^(-1) ((a cosâ?¡x+b)/(a+b cosâ?¡x ))
Discuss the continuity and differentiability of the function f(x) = |x| + |x+1| in the interval (-1,2)


(HOTS)
Prove that tan (π/4+1/2 cos^(-1) a/b) + tan (π/4-1/2 cos^(-1) a/b) = 2b/a
Solve : sin-16x + sin-16√3 x = - π/2
Differentiate sin^(-1)â?¡ã??((3 x+4 √(1-x^2 ))/5)ã?? w.r.t. x
If x = a (cos θ + log tanθ/2) and y = a sin θ, then find the value of (d^2 y)/dx^2 at θ = π/4
If x = tan(1/a logâ?¡y), then show that(1+x^2 ) (d^2 y)/dx^2 +(2x-a)dy/dx=0
If cos-1x + cos-1y + cos-1z = π, then prove that x2 + y2 + z2 + 2xyz = 1

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Lesson Posted on 07 Jun CBSE/Class 12 CBSE/Class 12/Science/Mathematics

Limits & Continuity

Monica Nadar

I am an experienced, qualified teacher and tutor having more than 2 years of experience in teaching Mathematics,...

A limit is a guess of the value of a function or sequence based on the points around it. Limits best explained with a real life scenario example
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Asked on 20 May CBSE/Class 12/Science/Mathematics

Why we Differentiate between different functions?

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