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\( 12.75 - 24.38 - ( 2.4 \times 4.32 \div 3.6 = 0.85 ) \)
Arithmetic Jan 22, 2025
a) \( 1.44 \div 1.2+6.2 \)
Arithmetic Jan 22, 2025
(a) \( 1.44 \div 1.2+6.2 \)
Arithmetic Jan 22, 2025
Evaluate the followings: \( \begin{array}{ll}\text { (i) } \lim _{n \rightarrow \infty} \frac{3 n^{2}+4 n+7}{2+3 n+4 n^{2}} & \text { (ii) } \lim _{x \rightarrow 2} \frac{x^{2}-3 x+2}{x-2}\end{array} \)
Calculus Jan 22, 2025
\( f ^ { m } ( z _ { 0 } + h ) - f ^ { m } ( z _ { 0 } ) = \frac { m ! } { 2 \pi i } \int _ { c } \frac { f ( z ) d z } { ( 2 - z _ { 0 } - h ) ^ { m - 1 } } \frac { m ! } { 2 \pi i } \int _ { c } \frac { f ( 2 ) d z } { ( 2 - z _ { 0 } ( 0 ) ) ^ { m + 1 } } \)
Calculus Jan 22, 2025
\( f ^ { m } ( z _ { 0 } + h ) - f ^ { m } ( z _ { 0 } ) = \frac { m ! } { 2 \pi i } \int _ { c } \frac { f ( z ) d z } { ( z - z _ { 0 } - h ) } - \frac { m ! } { 2 \pi i } \int _ { c } \frac { f ( z ) d z } { ( z - z _ { 0 } - h ) ^ { m + 1 } } \)
Calculus Jan 22, 2025
\( { } ^ { m } ( z _ { 0 } + h ) - f ^ { m } ( z _ { 0 } ) = \frac { m ! } { 2 \pi i } \int _ { c } ^ { 1 } \frac { f ( z ) d z } { ( z - z _ { 0 } - h ) } - \frac { m ! } { 2 \pi i } \int _ { c } \frac { f ( z ) d z } { ( z - z _ { 0 } - h ) ^ { m + 1 } } \)
Calculus Jan 22, 2025
\begin{tabular}{l} Evaluate (i) \( \int \log x d x \) \\ (ii) \( \int_{0}^{1} \frac{x^{3}}{\sqrt{1-x^{3}}} d x \) \\ \hline\end{tabular}
Calculus Jan 21, 2025
Write the composite function \( f(g(x)) \) if \( \begin{array}{ll}\text { a. } f(x)=x^{2} & \text { and } g(x)=2 x+1 \\ \text { b. } f(x)=x+1 & \text { and } g(x)=x^{3}+\sin x .\end{array} \)
Algebra Jan 21, 2025
b) Mr. Bohara purchased 2 quintals of organic apples at Jumla for Rs 17,000 and paid Rs 15 per kg in transportation from Jumla to Nepalgunj. He found that \( \frac{1}{20} \) of the quantity of apples were damaged. He sold the remaining quantity at Rs 120 per kg . (i) What is the total cost price of apples? (ii) How many kilograms of apples were damaged? (iii) Calculate his profit or loss percent in the total transaction. ive Section - B
Arithmetic Jan 21, 2025
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