Functions and Limits Quiz Second Year 3

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The post is about the MCQs Functions and Limits Quiz from Chapter 1 of Mathematics Second Year Book. Let us start with MCQs Functions and Limits Quiz.

Online MCQs about Chapter 1 of Functions and Limits from Intermediate Mathematics book Part-II with Question and Answers

1. $f(x)=sin\,x + cos\, x$ is ——– function.

 
 
 
 

2. $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.

 
 
 
 

3. The perimeter $P$ of a square as a function of its Area $A$ is

 
 
 
 

4. $log\, x$ is not defined at $x=$ ——–.

 
 
 
 

5. $cos\, h^2x – sin\,h^2x =$——–.

 
 
 
 

6. If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?

 
 
 
 

7. The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.

 
 
 
 

8. If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.

 
 
 
 

9. The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.

 
 
 
 

10. $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.

 
 
 
 

11. $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.

 
 
 
 

12. $x=at^2$, $y=2at$ represents ——-.

 
 
 
 

13. If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called

 
 
 
 

14. A function $f(x)$ is said to be continuous at $x=c$ if

 
 
 
 

15. The range of a constant function is ——–.

 
 
 
 

16. If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.

 
 
 
 

17. $sin\,h^{-1}$\, x =$ ——

 
 
 
 

18. $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$

 
 
 
 

19. If $f:X\rightarrow Y$, then $Y$ is called

 
 
 
 

20. A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.

 
 
 
 

MCQS Functions and Limits Quiz with Answers

  • If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called
  • $x=at^2$, $y=2at$ represents ——-.
  • If $f:X\rightarrow Y$, then $Y$ is called
  • $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$
  • A function $f(x)$ is said to be continuous at $x=c$ if
  • A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.
  • If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.
  • If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.
  • If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?
  • $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.
  • The range of a constant function is ——–.
  • $f(x)=sin\,x + cos\, x$ is ——– function.
  • $sin\,h^{-1}$\, x =$ ——
  • The perimeter $P$ of a square as a function of its Area $A$ is
  • The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.
  • $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.
  • $log\, x$ is not defined at $x=$ ——–.
  • $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.
  • $cos h^2x – sin h^2x =$——–.
  • The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.
MCQs Functions and Limits Quiz with Answers

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MCQs Econometrics

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The post contains MCQs about Econometrics, which cover the topics of Correlation and Regression analysis, dummy variables, multicollinearity, heteroscedasticity, autocorrelation, and many other topics. Let’s start with the MCQs Econometrics test

MCQs Econometrics Quizzes

MCQs Econometrics Quiz 5
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Econometrics

Econometrics is the branch of economics that applies statistical techniques for the analysis of economic data. The econometricians try to test hypotheses by using different statistical techniques and they try to forecast future trends.

  1. Regression Analysis: A fundamental tool in econometrics used for estimating the relationship between a dependent variable (DV) and one or more independent variables (IVs). Both linear regression and nonlinear regression models are implied in economics.
  2. Time Series Analysis: It deals with analyzing data collected over time. Time Series Analysis includes techniques for detecting trends, and seasonal patterns, and also forecasting future values.
  3. Panel Data Analysis: Panel data refers to data that is collected over multiple cross-sectional units and time periods. Panel data analysis techniques allow economists to account for both time series and cross-sectional variation.
  4. Hypothesis Testing: Econometricians use statistical tests to assess the significance of relationships and parameters estimated in their models. Common tests include t-tests, F-tests, and likelihood ratio tests.
  5. Instrumental Variables: It is used to address endogeneity in regression analysis. Endogeneity occurs when the independent variables are correlated with the error term in a regression model. The instrumental variables methods aim to find variables that are correlated with the independent variables but not with the error term, thereby providing a way to estimate causal relationships.
  6. Time Series Econometrics: Time series econometrics focuses specifically on analyzing data that varies over time. This includes techniques such as autoregressive integrated moving average (ARIMA) models, vector autoregression (VAR), and cointegration analysis.
  7. Model Evaluation and Selection: The selection of a model is performed based on its performance. Model evaluation and selection techniques help to determine whether a model fits the data well and whether it is useful for prediction or inference.
  8. Multivariate Analysis: Multivariate regression, factor analysis, and principal component analysis are used to perform analysis on multiple variables.
MCQs Econometrics Quiz with Answers

In short, econometrics is a specialized branch of statistics that mainly focuses on economic data. It is used to test economic theories, estimate the parameters, and make forecasts.

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MCQs Factorization 9th

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This post is about the Online MCQs about Factorization of Chapter 5 from 9th Class Mathematics with Answers. There are 20 multiple-choice questions from Chapter 5 Factorization from Mathematics of Class Ninth. Let us start with the MCQS Factorization Quiz.

Please go to MCQs Factorization 9th to view the test

MCQs Factorization 9th Class Mathematics Chapter 5

MCQs Factorization Mathematics Chapter 5

  • The factor of $x^2-5x+6$ are
  • Factors of $8x^3+27y^3$ are
  • Factors of $3x^2-x-2$ are
  • Factors of $a^4-4b^4$ are
  • What will be added to complete the square of $9a^2-12ab$?
  • Find $$ so that $x^2+4x+m$ is a complete square.
  • Factors of $5x^2-17xy-12y^2$ are
  • Factors of $27x^3 – \frac{1}{x^3}$ are
  • If $x-2$ is a factor of $p(x)=x^2+2kx+8$, then $k=$
  • $4a^2+4ab+(\cdots \cdots)$ is a complete square.
  • $\frac{x^2}{y^2} -2 +\frac{y^2}{x^2}=\cdots$
  • $(x+y)(x^2-xy+y^2)=$
  • Factors of $x^4-16$ is
  • Factors of $3x-3a+xy-ay$
  • Factors of $pqr+qr^2-pr^2-r^3$ is
  • What is the value of $p(x)=6x^4+2x^3-x+2$ at $x=0$?
  • $x^2+5x+6=$
  • $4a^2-16=$
  • How many factors of a cubic expression are there?
  • $(x-y)(x^2+xy+y^2)=$

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