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A real estate company is going to build a new residential complex. The land they have purchased can hold at most 4500 apartment also if they make x apartment then the monthly income maintenance costs for the whole complex would be

Posted by Ajay Alahar 2 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 2 years, 4 months ago

(c) Let C(x) be the maintenance cost function, then C(x) = 5000000 + 160x - 0.04x²
(b) We have, C(x) = 5000000 + 160x - 0.04x²
Now, C{x) = 160 - 0.08x
For maxima/minima, put C'(x) = 0
$\Rightarrow$ 160 = 0.08x
$\Rightarrow$ x = 2000
(b) Clearly, from the given condition we can see that we only want critical points that are in the interval [0, 4500]
Now, we have C(0) = 5000000
C(2000) = 5160000 and C(4500) = 4910000
$\therefore$ Maximum value of C(x) would be ₹5160000
(a) The complex must have 4500 apartments to minimise the maintenance cost.
(a) The minimum maintenance cost for each apartment woud be ₹1091.11

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X log 2x

Posted by Baba Tushir 2 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

$\int {x\log 2xdx}$

$= \int {\left( {\log 2x} \right)xdx}$

$= \left( {\log 2x} \right)\int {xdx - \int {\left[ {\frac{d}{{dx}}\log 2x\int {xdx} } \right]dx} }$

[Applying product rule]

$= \left( {\log 2x} \right)\frac{{{x^2}}}{2} - \int {\frac{1}{{2x}}.2.\frac{{{x^2}}}{2}dx}$

$= \frac{1}{2}{x^2}\log 2x - \frac{1}{2}\int {xdx}$

$= \frac{1}{2}{x^2}\log 2x - \frac{1}{2}\frac{{{x^2}}}{2} + c$

$= \frac{{{x^2}}}{2}\log 2x - \frac{{{x^2}}}{4} + c$

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Integration of 1/ root ( 1 + cosx) dx

Posted by Subhodeep Mitra 2 years, 5 months ago

CBSE > Class 12 > Mathematics

2 answers

Dhairya Sharma 2 years, 5 months ago

Hii rashmi you are from which class

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Rashmi Ahuja 2 years, 5 months ago

Root(1+cos x) =root(2cos² (x/2)) =√2.cos x/2 Ans= Integral of 1/√2 cos x/2 = Integral of sec (x/2)/√2 = (1/√2) log |sec x/2 + tan x/2| ÷ (1/2) = √2 log |sec x/2 + tan x/2|

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What is the sum of all prime numbers from 1 to 30?

Posted by Tanmaya Padhi 2 years, 5 months ago

CBSE > Class 12 > Mathematics

1 answers

Shivkant Kumar 2 years, 5 months ago

129

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Evaluate int. From -1 to 2 |x^3-x|

Posted by Pradhuman Yadav 2 years, 5 months ago

CBSE > Class 12 > Mathematics

0 answers

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Find dy dx of y = Sin−1 (x 2 − 2x + 1)

Posted by Devendra Kumar 2 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

Given: $y = {\sin ^{ - 1}}\left( {\frac{{2x}}{{1 + {x^2}}}} \right)$

To simplify the given Inverse Trigonometric function,we put, $x = \tan \theta$

$\Rightarrow y = {\sin ^{ - 1}}\left( {\frac{{2\tan \theta }}{{1 + {{\tan }^2}\theta }}} \right) = {\sin ^{ - 1}}\left( {\sin 2\theta } \right) = 2\theta$

$\Rightarrow y = 2{\tan ^{ - 1}}x$

$\Rightarrow \frac{{dy}}{{dx}} = 2.\frac{1}{{1 + {x^2}}} = \frac{2}{{1 + {x^2}}}$

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Log(logx)

Posted by Shivam Mandloi 2 years, 5 months ago

CBSE > Class 12 > Mathematics

1 answers

Satinder Kaur Sidhu 2 years, 5 months ago

1/x

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Integrate (x+3) √3-4x-x²

Posted by Laksh Aggarwal 2 years, 5 months ago

CBSE > Class 12 > Mathematics

0 answers

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Integrate √x²+x+1

Posted by Gurkirat Kaur 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

Karan Chauhan 2 years, 5 months ago

x³/3+x²/2+x+c

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for what value of k is the following function continuous at x=2? f(x)={2x+1 ;x<2 { k;x=2 { 3x-1;x>2

Posted by Ajit Shrivastav 11 A 2 years, 3 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

$\mathop {\lim }\limits_{x \to {2^ - }} f(x) = \mathop {\lim }\limits_{x \to {2^ - }} 2x + 1$
$\mathop {\lim }\limits_{h \to 0} \left[ {2\left( {2 - h} \right) + 1} \right]$ = 5
$= \mathop {\lim }\limits_{x \to {2^ + }} f(x) = \mathop {\lim }\limits_{x \to {2^ + }} \left( {3x -1} \right)$
$= \mathop {\lim }\limits_{h \to 0} 3\left( {2 + h} \right) - 1$ = 5
In given that question f(x) is continuous at x=2,therefore
$\mathop {\lim }\limits_{x \to {2^ - }} f(x) = f(2) = \mathop {\lim }\limits_{x \to {2^ + }} f(x)$
5 = k
$\Rightarrow k = 5$

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cosx +cosy-cos(x+y)=3/2 sinx+cosy=?

Posted by Shubhanshu Tiwari 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

The Thakur Shahab 2 years, 6 months ago

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Find the equation of the normal to the curve (x)(x)=4y which passes through the point (1,2).

Posted by Harshit Sharma 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

Pihu Agarwal 2 years, 5 months ago

1/4 log|sec4x+tan4x|-cos4x/4+c

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Integrated 1/cos*4x+sin*4x

Posted by Piyush Kumar Mishra 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

For what value of k is the following function at x=2 F(x)=2x+1;x<2 K;x=2 3x-1;x>2

Posted by Priya Rai 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

NCERT 4.6 Question no. 14 solve please.

Posted by Hari Sharma 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Differentiate sinx.cosx

Posted by Bahima Saliha 2 years, 6 months ago

CBSE > Class 12 > Mathematics

3 answers

Manglam Pandey 2 years, 6 months ago

Cos^2x-sin^2x

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Tec Om 2 years, 6 months ago

product rule lagao 1st d/dx of2nd +2nd d/dx of 1st then aa jayega -sin^2x +cosx^2 that is cos2x

1Thank You

Dhruv Shukla 2 years, 6 months ago

Cos2x

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If y = e^x sinx , then prove that d²y/dx²-2dy/dx + 2y = 0

Posted by Aditya Yadav 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

The Thakur Shahab 2 years, 6 months ago

Hence proved

1Thank You

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Differentiate A=sin^3t/√cos2t , B= cos^3t/√cos2t

Posted by Kaif Khan 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Exercise 6.1 11th standard

Posted by Umashankar Umashankar 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Exercise 6.1

Posted by Umashankar Umashankar 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

A plane starts from airport with speed 120m/s

Posted by Jagveer Singh 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Evaluate each of the following integrlas

Posted by Kartik Gupta 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

5.3 6

Posted by Lalit Attri 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

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Show that the function defined by g(x)=x - [x]is discontinuous at all integral points . Here [x] denotes the greatest integer less than or equal to x . Anyone plz give the solution it's urgent

Posted by Kaif Khan 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

F(x)=x4 - 62x2 +120x +9 give me the solution of this question I need it topic maxima and minima

Posted by Kaif Khan 2 years, 6 months ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

1-e*x /1+e*x

Posted by Mini Lodhi 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

Aryan Aryan 2 years, 6 months ago

Iska differentiation karna hai kya

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Domain of sec‐¹2x ?

Posted by Priya Yadav 2 years, 6 months ago

CBSE > Class 12 > Mathematics

1 answers

S Abhishek Kumar 2 years, 6 months ago

all real number except 0

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Find the value of k for which f(x)=√1+Kx -√1-kx/x if -1 is less than equal to x and x is smaller than 0 f(x)= 2x+1/x-1 if 0 is smaller than equal to x and x is smaller than 1 Is continuous at x=0

Posted by Dolly Roy 2 years, 7 months ago

CBSE > Class 12 > Mathematics

1 answers

Keshav Kashyap 2 years, 6 months ago

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Sinp

Posted by Waheguru Ji Ji 2 years, 7 months ago

CBSE > Class 12 > Mathematics

1 answers

Waheguru Ji Ji 2 years, 7 months ago

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Ex1.1

Posted by Sana Mehra 2 years, 7 months ago

CBSE > Class 12 > Mathematics

0 answers

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