119376 For \(x=\frac{5}{7}\), if \(t_k\) is the first negative term in the expansion of \((1+x)^{7 / 5}\), then \(t_1+t_2+\ldots+t_k=\)

119377 The greatest integer less than or equal to \((\sqrt{3}+2)^5\) is

119378 If \({ }^n \mathbf{C}_0,{ }^n \mathbf{C}_1,{ }^n \mathbf{C}_2, \ldots,{ }^n \mathbf{C}_{\mathrm{n}}\) respectively are the binomial coefficients in the expansion of \((1+x)^n\), then when \(n=10, \sum_{r=1}^{10} C_r \cdot r(r-4)=\)

119379 If \(x\) is so small that all terms containing \(x^2\) and higher powers of \(x\) can be neglected, then the approximate value of \(\frac{\left(1+\frac{2 x}{3}\right)^{-4}(4+5 x)^{1 / 2}}{(9+x)^{3 / 2}}\), when \(x=\frac{6}{371}\), is

119376 For \(x=\frac{5}{7}\), if \(t_k\) is the first negative term in the expansion of \((1+x)^{7 / 5}\), then \(t_1+t_2+\ldots+t_k=\)

119377 The greatest integer less than or equal to \((\sqrt{3}+2)^5\) is

119378 If \({ }^n \mathbf{C}_0,{ }^n \mathbf{C}_1,{ }^n \mathbf{C}_2, \ldots,{ }^n \mathbf{C}_{\mathrm{n}}\) respectively are the binomial coefficients in the expansion of \((1+x)^n\), then when \(n=10, \sum_{r=1}^{10} C_r \cdot r(r-4)=\)

119379 If \(x\) is so small that all terms containing \(x^2\) and higher powers of \(x\) can be neglected, then the approximate value of \(\frac{\left(1+\frac{2 x}{3}\right)^{-4}(4+5 x)^{1 / 2}}{(9+x)^{3 / 2}}\), when \(x=\frac{6}{371}\), is

119376 For \(x=\frac{5}{7}\), if \(t_k\) is the first negative term in the expansion of \((1+x)^{7 / 5}\), then \(t_1+t_2+\ldots+t_k=\)

119377 The greatest integer less than or equal to \((\sqrt{3}+2)^5\) is

119378 If \({ }^n \mathbf{C}_0,{ }^n \mathbf{C}_1,{ }^n \mathbf{C}_2, \ldots,{ }^n \mathbf{C}_{\mathrm{n}}\) respectively are the binomial coefficients in the expansion of \((1+x)^n\), then when \(n=10, \sum_{r=1}^{10} C_r \cdot r(r-4)=\)

119379 If \(x\) is so small that all terms containing \(x^2\) and higher powers of \(x\) can be neglected, then the approximate value of \(\frac{\left(1+\frac{2 x}{3}\right)^{-4}(4+5 x)^{1 / 2}}{(9+x)^{3 / 2}}\), when \(x=\frac{6}{371}\), is

119376 For \(x=\frac{5}{7}\), if \(t_k\) is the first negative term in the expansion of \((1+x)^{7 / 5}\), then \(t_1+t_2+\ldots+t_k=\)

119377 The greatest integer less than or equal to \((\sqrt{3}+2)^5\) is

119378 If \({ }^n \mathbf{C}_0,{ }^n \mathbf{C}_1,{ }^n \mathbf{C}_2, \ldots,{ }^n \mathbf{C}_{\mathrm{n}}\) respectively are the binomial coefficients in the expansion of \((1+x)^n\), then when \(n=10, \sum_{r=1}^{10} C_r \cdot r(r-4)=\)

119379 If \(x\) is so small that all terms containing \(x^2\) and higher powers of \(x\) can be neglected, then the approximate value of \(\frac{\left(1+\frac{2 x}{3}\right)^{-4}(4+5 x)^{1 / 2}}{(9+x)^{3 / 2}}\), when \(x=\frac{6}{371}\), is