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Consider the function f :[0,π/2] to R , given by f(x) = sinx and g:[0,π/2] to R given by g(x) = cosx . Show that f and g one-one but f+g is not one-one .

Posted by Priyanka Birat 5 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Tannu Rao 5 years, 3 months ago

U can draw graphs of cosx and sinx in interval [0,π/2]. From the graphs, we can infer that both the functions are one one. Or f'(x)=cosx and g'(x)=-sinx. Derrivatives of both the functions are only +ve and -ve respectively in the given interval. Hence both are one one. (f+g)(x)=sinx +cosx (f+g)'(x)=cosx-sinx which is both +ve as well as -ve in the given interval. Hence it is many one.

Priyanka Birat 5 years, 3 months ago

Can anyone solve this question in good explanation .

ANSWER

(a+ib/2)^n +(a-ib/2)^n =? Where I is iota

Posted by Nikhil Kumar 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Consider functions f and g such that gof defined and is one one. Are f and g both necessarily one- one. Are f and g both necessarily onto. If g o f is onto ?

Posted by Anjali ? 5 years, 3 months ago

CBSE > Class 12 > Mathematics

3 answers

Nikhil Kumar 5 years, 3 months ago

Hor Kuchh

Nikhil Kumar 5 years, 3 months ago

When gof is one one then f is always one one but not necessarily that g is one one. When gof is onto then g always one one but not necessarily f is one one.

Aryan Choudhary ?? 5 years, 3 months ago

When gof is one one then f is always one one but not necessarily that g is one one. When gof is onto then g always one one but not necessarily f is one one.

ANSWER

Consider functions f and g such that gof is defined and

Posted by Anjali ? 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

What is the approximate value of cos 29 degree 30 minute

Posted by Hiral Solanki 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years, 3 months ago

0.87

ANSWER

If 3tan-1 x+cot-1x=π .Then x equals

Posted by Sumit Kumar 5 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Anjali ? 5 years, 3 months ago

3 (tan^-1)x+(cot^-1)x=π 2(tan^-1)x+(tan^-1)x+(cot^-1)x=π 2(tan^-1)x+π/2=π 2(tan^-1)x=π/2 (tan^-1)x=π/4 X=1

Sumit Malviya 5 years, 3 months ago

We can write it as . 2tan-1x+tan-1x + cot-1x=π Now,we know tan-1x+cot-1x=π÷2 So 2tan-1x+π÷2= π 2tan-1x=π÷2 tan-1x=π Putting (tan-1 0 =π tan-1x=tan-1 0 On comparing (x=0)

ANSWER

Differentiate (x)^cos x+(cos x) sin x

Posted by Akinshia C K 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Mohd Atif 5 years, 3 months ago

(x)^cosx{cosx/x--sinx.logx}+cos2x=y'

ANSWER

If Siny=Sinx (a+y), prove that dy/dx = sin^2(a+y)/Sina

Posted by Anirudh Shukla 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Yogesh Sharma 5 years, 3 months ago

3.1

ANSWER

Cos-1(cos10)

Posted by Krishna Verma 5 years, 3 months ago

CBSE > Class 12 > Mathematics

3 answers

Tannu Rao 5 years, 3 months ago

4π-10 is also in range of cos-1(x)

Tannu Rao 5 years, 3 months ago

Cos(10) can be written as cos(4π-10). Therefore cos-1(cos10)=cos-1(cos(4π-10)) = 4π-10

Ravi Raj 5 years, 3 months ago

10

ANSWER

Find inverse of matrix by using row operation i e [3 -2 3 2 1 -1 4 -3 2]

Posted by Tarini Sahu 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

In class 10 session 2019-2020 I have six subjects( including additional) but I failded in maths and science then I got compartment . Then for which subject I will have to give exam for getting pass

Posted by Manoj Dahiya 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Deep Manshahia 5 years, 3 months ago

For both because maths and science are compulsory subjects

ANSWER

Differentiate log7 log7x

Posted by Shreya Gupta 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years, 3 months ago

(1/(7Log7x)).(1/x).7

ANSWER

d/dx(e^√2x)

Posted by Shubhanshu Tiwari 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years, 3 months ago

(e^√2x).(√2)

ANSWER

If y= sin^(-1)⁡〖(cos⁡(sin^(-1)⁡〖x)〗 ))〗+ cos^(-1)⁡〖(sin⁡(cos^(-1)⁡〖x)〗 ))〗 , then find dy/dx

Posted by Yash Ghildiyal 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Sec²x/cosec²x dx

Posted by Suraj Jha 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

i don't get enough marks in my additional subject (maths) is it necessary to give compartment or not? but passed in my main 5 subjects

Posted by Taranpreet Kaur 5 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Manoj Dahiya 5 years, 3 months ago

No it is not necessary

Baldev Singh 5 years, 3 months ago

dy/ dx of sinx

ANSWER

Is the binary operations removed from matrices with exercise 3.4? And how about miscelleneous exercise of this chapter ? Please anybody can answer me ?

Posted by Priyanka Birat 5 years, 3 months ago

CBSE > Class 12 > Mathematics

2 answers

Sangeeta Rohilla 5 years, 3 months ago

?

Gaurav Seth 5 years, 3 months ago

CBSE has rationalized the syllabus with the help of suggestions from NCERT and the same has been notified by a new CBSE notification as well.

The CBSE syllabus has been reduced but care has been taken so that the learning outcomes remain the same and the students do not miss out on learning core concepts in various subjects.

Deleted syllabus of CBSE Class 12 Mathematics

ANSWER

Limit x tends to 0 e^-1/x²

Posted by Saugat Dutta 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Lim x-0{ [1/2(1-cos2x)]^1/2}/x

Posted by Rishita Garg 5 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Sanjeev Kumar Roy 5 years, 3 months ago

1/2

ANSWER

What is differentiation of sinx

Posted by Stuti Trivedi 5 years, 3 months ago

CBSE > Class 12 > Mathematics

5 answers

Umesh Yadav 5 years, 3 months ago

Cosx

Manish Kumar 5 years, 3 months ago

Cos X

Siddharthm Sm 5 years, 3 months ago

Cosx

Dixit Maurya 5 years, 3 months ago

Cos x

Raghav Kabra 5 years, 3 months ago

Cosx

ANSWER

Find maxima and minima of 1/x²+3

Posted by Prince Jha 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Test for continuity where x=a, f(x)=(x-a) sin/x-a and 0 when x=a

Posted by Kashish Sindhwani 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Evaluate : Lim_xtends to 0(x^1÷2+2x+3x^1÷2/2x^1÷2-2x^5÷2+4x^7÷2)

Posted by Chandan Subudhi 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Inverse of matrix ? 1 0 0 0 1 1 0 -2 4

Posted by Manish Giri 5 years, 3 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Slope of points joining (2,0) and (4,4)

Posted by Yash Jadon 5 years, 4 months ago

CBSE > Class 12 > Mathematics

3 answers

Ambarish Chatterjee 5 years, 3 months ago

Ans is 2

Diya Mittal 5 years, 3 months ago

We know that slope of line joining two points are y2-y1/x2-x1 hence slope of this line would be 2

Aswathy Jasmi 5 years, 4 months ago

Slope of a line joining points (2,0) & (4,4) =4-0/4-2=4/2=2 The answer is 2 ....plz thank me

ANSWER

Integration formula

Posted by Monalisha Patro 5 years, 4 months ago

CBSE > Class 12 > Mathematics

5 answers

Nikhil Kumar 5 years, 3 months ago

Binod

Nikhil Kumar 5 years, 3 months ago

Book Maan dekh le

Gaurav Kumar 5 years, 4 months ago

Kon sa

Gaurav Kumar 5 years, 4 months ago

Kon sa

Pranaya Mallik 5 years, 4 months ago

Please elaborate which formulae are you asking about.

ANSWER

What is the differentiation of Sin(cos(x²))with respect to x?

Posted by Kashish Chadha 5 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Shoaib Khan 5 years, 3 months ago

-2xsinx^2cos(cosx^2)

Tannu Jangra 5 years, 4 months ago

_2sin(x)^2cos(cosx^2)

ANSWER

dy/dx x -y =pie

Posted by Kushagri Bajaj 5 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Nikhil Kumar 3 years, 9 months ago

Question sahi ✅ likhya kar na

Pawan Kumar 3 years, 9 months ago

0/x-y

ANSWER

Int e^x(3-x^2)/(1-2x+x^2)dx

Posted by Shivam Singh 5 years, 4 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Find dy/dx of ,y=1/sin(2x/1+x^2)

Posted by Sourav Attri 5 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Shreya Rani 5 years, 4 months ago

dy/dx =d [sin(2x/1+x^2)^-1] /dx =-1/sin^2(2x/1+x^2). d(2x/ 1+x^2)/dx =-1/sin^2(2x/1+x^2). [(1+x^2).d(2x)/dx - 2x.d(1+x^2)/dx)] / (1+x^2)^2 =1/sin^2(2x/1+x^2).[(1+x^2).2 - 2x.2x] / (1+x^2)^2 =1/sin^2(2x/1+x^2).(2+2x^2 - 4x^2) /(1+x^2)^2

ANSWER

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