If y = 243(4x + 5)-2, find \(\frac{dy}{dx}\) when x = 1
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1998
From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60o and 45o respectively. Find the distance betw…
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1998
Solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\).
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1998
The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is
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1998
If the distance between the points (x, 3) and (-x, 2) is 5. Find x
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1998
The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.
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1998
a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find the height of the drum in centimeters
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1998
Let = \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\) p = \(\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}\) Q = \(\begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix}\) be 2 x 2 matrices such that PQ…
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1998
The determinant of matrix \(\begin{pmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{pmatrix}\) in terms of x is
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1998
The binary operation \(\oplus\) is defined by x \(\ast\) y = xy - y - x for all real values x and y. If x \(\ast\) 3 = 2\(\ast\), find x
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1998
The kinetic element with respect to the multiplication shown in the diagram below is\(\begin{array}{c|c} \oplus & p & p & r & s \\ \hline p & r & p & r & p \\ q & p & q & r &am…
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1998
The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.
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1998
If p + 1, 2P - 10, 1 - 4p2are three consecutive terms of an arithmetic progression, find the possible values of p
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1998
If x is a positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)
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1998
Express in partial fractions \(\frac{11 + 2}{6x^2 - x - 1}\)
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1998
2x2 + 11x2 + 17x + 6 by 2x + 1
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1998
Make \(\frac{a}{x}\) the subject of formula \(\frac{x + 1}{x - a}\)
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1998
Solve for the equation \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0
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1998
Factorize r2 - r(2p + q) + 2pq
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1998
When the expression pm2 + qm + 1 is divided by (m - 1), it has a remainder is 4, Find p and q respectively