Find the coefficient of x\(^2\)in the binomial expansion of \((x+ \frac{2}{x^2})^5\)
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2022
Evaluate \(4p_2 +4C_2 -4p_3\)
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2022
A linear transformation T is defined by T: (x,y) (3x - y, x + 4y). Find the image of (2, -1) under T.
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2022
Given \(\begin{vmatrix} 2& -3 \\ 1& 4\end{vmatrix} \begin{vmatrix} -6 \\ k \end{vmatrix}\begin{vmatrix} 3\\ -26\end{vmatrix} = 15\). Solve for k.
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2022
Evaluate\({1_0^∫} x^2(x^3+2)^3\)
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2022
If \(x^2+y^2+-2x-6y+5 =0\), evaluate dy/dx when x=3 and y=2.
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2022
Given that \(\frac{8x+m}{x^2-3x-4}≡ \frac{5}{x+1} +\frac{3}{x-4}\)
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2022
Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.
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2022
If 36, p,\(\frac{9}{4}\) and q are consecutive terms of an exponential sequence (G.P), find the sum of p and q.
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2022
Evaluate \(∫^0_{-1}\) (x + 1)(x - 2) dx
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2022
Which of the following is the semi-interquartile range of a distribution?
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2022
A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.
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2022
Express \(\frac{4π}{5}\) radians in degrees.
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2022
The functions f:x 2x\(^2\) + 3x -7 and g:x 5x\(^2\) + 7x - 6 are defined on the set of real numbers, R. Find the values of xfor which 3f(x) = g(x).
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2022
Consider the following statement:x: All wrestlers are strongy: Some wresters are not weightlifters.Which of the following is a valid conclusion?