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Given the information that $g'(x)=f(x)$, and if we change the variable to $x^2$, then we end up with the following: $\frac{dg(x^2)}{dx}= 2xg'(x^2)=2xf(x^2)$. $\int x^3f(x^2)\,dx=\frac{1}{2}\int x^2.{2xf(x^2)}\,dx=\frac{1}{2}\int x^2.{g'(x^2)}\,dx=\frac{1}{2}x^2g(x^2)-\frac{1}{2}\int 2x.{g(x^2)}\,dx+C=\frac{1}{2}x^2g(x^2)-\int x.{g(x^2)}\,dx+C$. Option B [...]

Answered: GATE CSE 2006 | Question: 45

In Binary FormC1 203.197.2.53SubNetMask(C1)255.255.128.0C2 203.197.75.201SubNetMask(C2)255.255.192.0In Binary FormC1- 11001011.11000101.00000010.00110101SubNetMask(C1)- 11111111.11111111.10000000.00000000C2- 111001011.11000101.01001011.11001001SubNetMask(C2) 11111111.11111111.11000000.00000000SubNetMask(C1)- 11111111.11111111.10000000.00000000SubNetMask(C2) -11111111.11111111.11000000.00000000For C1 it doesnt matter whether 18th bit changes but for C2 it does.C1- 11001011.11000101.00000010.00110101C2- 111001011.11000101.01001011.11001001Because of that [...]

DFA construction

draw finte automata which accepts one pair of consecutive zeroes and atmost one pair of consecutive ones. [...]

Answered: Profit percentage

Let the ₹100,000 split be X and Y. \begin{equation}x + y = 100,000\end{equation}Case 1 Profit:\begin{equation}x \times 0.1 + y \times 0.12\end{equation}Case 2 Profit:\begin{equation}x \times 0.12 + y \times 0.1\end{equation}We know [...]

PSU Job Eligibility for MCA Graduates Through GATE

As an MCA graduate seeking PSU jobs through GATE, which positions am I eligible for? I know ONGC recruits MCA graduates, but which other organizations also consider MCA qualifications for [...]

Arrange the sentences in a proper sequence so as to make a coherent paragraph. A. In emission trading, the government fixes the total amount of pollution that is acceptable to maintain a desired level of air quality. B. Economists argue that this approach makes air pollution control more costeffective than the current practice of fixing air-pollution standards and expecting all companies to pollute below these standards. C. The USA uses emissions trading to control air pollution. D. It then distributes emission permits to all companies in the region, which add up to the overall acceptable level of emission. BADC ACDB CBAD DBAC

Answered: exam

66-46=50+(-30) [...]

Answered: If x = 5y, and 15y = 3a, what is the value of x?

15y = 3a or, y = a/5 x = 5y or, x = a So, the answer is a. [...]

Answered: CAT 2023 Set-3 | Quantitative Aptitude | Question: 20

Option A is the answer Reason: Given, an = 46 + 8n = 6 + 8(5 + n) bn = 98 + 4n = 2 + 4(24 + n) Now understand how an and [...]

Geeks For Geeks: Question 6 https://www.geeksforgeeks.org/quizzes/work-and-wages-gq/?page=1

A person employed a group of 20 men for a construction job. These 20 men working 8 hours a day can complete the job in 28 days. The work started [...]

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