2007
A binary operation \(\Delta\) is defined by \(a \Delta b = a + b + 1\) for any real numbers \(a\) and \(b\). Find the inverse of the real number 7 under the operation \(\Delta\), if the identity element is \(-1\).
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2007 JAMB UTME Mathematics Past Questions
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2007
W \(\alpha\) L2 and W = 6 when L = 4. If L = \(\sqrt{17}\), find W.
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2007
What is the mean deviation 0f 3, 5, 8, 11, 12 and 21?
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2007
\(\begin{array}{c|c} \text{Marks} & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{Frequency} & 5 & y - 1 & y & 9 & 4 & 1\end{array}\)The table above gives the frequency distributio…
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2007
a senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?
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2007
\(\begin{array}{c|c} \text{Age in years} & 10 & 11 & 12 \\ \hline \text{No. of pupils} & 6 & 27 & 7 \end{array}\)The table above shows the number of pupil in each age group in a class. What is the…
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2007
Calculate the length of an arc of a circle of diameter 14cm, which subtends an angle of 90o at the centre of the circle
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2007
Find the value of \(\frac{tan60^o - tan30^o}{tan60^o + tan30^o}\)
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2007
The area of a square is 144 sqcm. Find the length of the diagonal.
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2007
A particle p moves between points S and T such that angle SPT is always constant. Find the locus of P.
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2007
If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is
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2007
If the lines 2y - kx + 2 = 0 and y + x - \(\frac{k}{2}\) = 0 intersect at (1, 2), find the value of k
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2007
A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30o, Determine the height of the tower
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2007
The volume of a hemispherical bowl is 718\(\frac{2}{3}\) cm3. Find its radius.
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2007
Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value
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2007
Determine the value of \(∫^{\frac{\pi}{2}}_{0}\) (-2 cosx)dx
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2007
Integrate \(\frac{x^2 - \sqrt{x}}{x}\) with respect to x
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2007
Find the size of each exterior angle of a regular octagon.
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2007
If y = x cosx, find \(\frac{dy}{dx}\).
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2007
If y = (1 + x)2, find \(\frac{dy}{dx}\)
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