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Frontend Developer Roadmap 2024
Frontend development means to design the face of a website or application. It involves working on the appearance of the website. Building interactive buttons, using images...
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Get Financial Data from Yahoo Finance with Python
This article will show how to get financial data from Yahoo Finance using Python. We can retrieve company financial information (e.g. financial ratios), as well as histori...
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Python
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Class 12 RD Sharma Solutions - Chapter 19 Indefinite Integrals - Exercise 19.30 | Set 1
Question 1. ∫ (2x+1)/((x+1)(x-2)) dxSolution:Let ∫ (2x+1)/((x+1)(x-2))=A/(x+1)+B/(x-2)2x+1=A(x-2)+B(x+1))Put x=25=3B⇒ B=5/3Put x=-1-1=-3A ⇒ A=1/3So,∫ (2x+1)/((x+1)(x-2)) d...
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Mathematics
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Class 12
RD Sharma Solutions
RD Sharma Class-12
Class 11 RD Sharma Solutions - Chapter 30 Derivatives - Exercise 30.5 | Set 2
Differentiate the following functions with respect to x:Question 16.[Tex]\frac{a+sinx}{1+asinx}[/Tex]Solution:By using quotient rule, we get,[Tex]\frac{d}{dx}(\frac{a+sinx...
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Mathematics
School Learning
Class 11
RD Sharma Solutions
RD Sharma Class-11
Class 11 RD Sharma Solutions - Chapter 30 Derivatives - Exercise 30.5 | Set 1
Differentiate the following functions with respect to x:Question 1.[Tex]\frac{x^2+1}{x+1}[/Tex]Solution:By using quotient rule, we get,[Tex]\frac{d}{dx}(\frac{x^2+1}{x+1})...
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Mathematics
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Class 11
RD Sharma Solutions
RD Sharma Class-11
Class 12 RD Sharma Solutions - Chapter 19 Indefinite Integrals - Exercise 19.23 | Set 2
Question 9. Evaluate ∫ 1/ cosx+sinx dxSolution:Let us assume I = ∫ 1/ cosx+sinx dxPut sinx = 2tan(x/2)/ 1+tan2x/2cosx = 1-tan2(x/2)/1+tan2(x/2)= ∫ 1/ {1-tan2(x/2)/1+tan2x/...
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Mathematics
School Learning
Class 12
RD Sharma Solutions
RD Sharma Class-12
Class 12 RD Sharma Solutions - Chapter 19 Indefinite Integrals - Exercise 19.23 | Set 1
Question 1. Evaluate ∫ 1/ 5+4cosx dxSolution:Let us assume I = ∫ 1/ 5+4cosx dxPut cosx = 1-tan2(x/2)/ 1+tan2(x/2)= ∫1/ 5+4{1-tan2(x/2)/ 1+tan2(x/2)} dx= ∫ 1+tan2(x/2)/ 5(1...
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Mathematics
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Class 12
RD Sharma Solutions
RD Sharma Class-12
Class 8 RD Sharma Solutions - Chapter 27 Introduction to Graphs - Exercise 27.2
Question 1. The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:Years20022003200420052006Number of Patients15...
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Mathematics
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Class 8
RD Sharma Solutions
RD Sharma Class-8
Class 9 RD Sharma Solutions - Chapter 12 Heron’s Formula- Exercise 12.2
Question 1. Find the area of the quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.Solution:In triangle ABC of Quadrilateral ABCDAC2 = B...
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Mathematics
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Class 9
RD Sharma Solutions
RD Sharma Class-9
Class 12 RD Sharma Solutions - Chapter 19 Indefinite Integrals - Exercise 19.9 | Set 3
Question 49.[Tex]∫5^{x + tan^{-1}x}(\frac{x^2 + 2}{x^2 + 1})dx[/Tex]Solution:Given that I =[Tex]∫5^{x + tan^{-1}x}(\frac{x^2 + 2}{x^2 + 1})dx[/Tex] ........(i)Let us consi...
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Mathematics
School Learning
Class 12
RD Sharma Solutions
RD Sharma Class-12
Class 11 RD Sharma Solutions - Chapter 29 Limits - Exercise 29.1
Question 1. Show that Limx→0(x/|x|) does not exist.Solution:We have, Limx→0(x/|x|)Now first we find left-hand limit:=[Tex]\lim_{x\to0^-}\frac{x}{|x|}[/Tex]Let x = 0 - h, w...
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Mathematics
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Class 12
RD Sharma Solutions
RD Sharma Class-11
SQL Query to Find Number of Employees According to Gender Whose DOB is Between a Given Range
Query in SQL is like a statement that performs a task. Here, we need to write a query that will find the number of employees according to gender whose DOB is in the given ...
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SQL
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Class 11 NCERT Solutions - Chapter 13 Limits And Derivatives - Exercise 13.2
Question 1. Find the derivative of x2 – 2 at x = 10.Solution:f(x) = x2 – 2f(x+h) = (x+h)2 – 2From the first principle,[Tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/Te...
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Class 12 NCERT Solutions- Mathematics Part I - Chapter 5 Continuity And Differentiability - Miscellaneous Exercise on Chapter 5
Differentiate w.r.t x the function in Exercise 1 to 11.Question 1.(3 x2 - 9x - 5)9Solution:Let us assume y = (3x2 - 9x - 5)9Now, differentiate w.r.t x[Tex]\frac{dy}{dx}=\f...
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Mathematics
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NCERT Solutions Class-12
Class 12 RD Sharma Solutions - Chapter 19 Indefinite Integrals - Exercise 19.9 | Set 2
Question 25. ∫(1 + cosx)/((x + sinx)3) dxSolution:Given that I = ∫(1 + cosx)/((x + sinx)3) dx .....(i)Let us considered x + sinx = t then,On differentiating both sid...
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Mathematics
School Learning
Class 12
RD Sharma Solutions
RD Sharma Class-12
Class 9 RD Sharma Solutions - Chapter 6 Factorisation of Polynomials- Exercise 6.5 | Set 2
Question 11. Using factor theorem, factorize of the polynomials : x3 – 10x2 – 53x – 42Solution:Given that,f(x) = x3–10x2 – 53x – 42The constant in f(x) is - 42,The factors...
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Mathematics
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Class 9
RD Sharma Solutions
RD Sharma Class-9
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