| 2023-02-25 | Find the domain and the range of the following function :
\[
f(x)=\... |
| 2023-02-25 | Prove that \( \cos x \cos 2 x \cos 4 x \cos 8 x=\frac{\sin 16 x}{16... |
| 2023-02-25 | If \( \sin x=\frac{2}{3} \), find the value of \( \sin 3 x \).
W |
| 2023-02-25 | Find the domain and the range of the following function :
\[
f(x)=\... |
| 2023-02-25 | If \( y=f(x)=\frac{6 x-5}{5 x-6} \), prove that \( f(y)=x, x \neq \... |
| 2023-02-25 | If \( f(x)=e^{x} \) and \( g(x)=\log x \), then find :
\( \left(\fr... |
| 2023-02-25 | If \( f(x)=x^{3}-\frac{1}{x^{3}} \), prove that \( f(x)+f\left(\fra... |
| 2023-02-25 | If \( f(x)=\frac{9^{x}}{9^{x}+3} \), then show that \( f(x)+f(1-x)=... |
| 2023-02-25 | If a real function \( f \) is defined by \( f(x)=\frac{|x|-x}{2 x} ... |
| 2023-02-25 | Is the relation \( f \) defined by \( f(x)=\left\{\begin{array}{ll}... |
| 2023-02-25 | Find the range of the following function :
\[
f(x)=3-2 x, x \in \ma... |
| 2023-02-25 | If \( \mathrm{A}=\{x: x \in \mathbf{N} \) and \( x \leq 3\}, \mathr... |
| 2023-02-25 | Find the linear relation between the components of the ordered pair... |
| 2023-02-25 | Let a relation \( R=\{(1,-1),(2,0),(3,1),(4,2),(5,3)\} \), then wri... |
| 2023-02-25 | Given \( B=\{2,3,5\} \) and some elements of \( A \times B \) are \... |
| 2023-02-25 | If \( \mathrm{A}=\{2,3,4,5,6\} \) and \( \mathrm{R} \) is a relatio... |
| 2023-02-25 | If \( \mathrm{A}=\{x: x \in \mathbf{W}, x2\}, \mathrm{B}=\{x: x \in... |
| 2023-02-25 | Let \( A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\} \) and \( D=\{5,6,7,8\} ... |
| 2023-02-25 | Let \( A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\} \) and \( D=\{5,6,7,8\} ... |
| 2023-02-25 | If \( x \in\{-1,2,3,4,5\} \) and \( y \in\{0,3,6\} \), form the set... |
| 2023-02-25 | If \( x \in\{2,3,4\} \) and \( y \in\{4,6,9,10\} \), form the set o... |
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