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Find \(\frac{\mathrm d y}{\mathrm d x}\) if \(y = \cos x\).
A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.
A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?
The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?
Find the area of the trapezium above.
In the diagram above, PQR is a circle centre O. If < QPR is x°, find < QRP.
In diagram above, QR//TU, < PQR = 80° and < PSU = 95°. Calculate < SUT.
The shaded region above is represented by
the equation
The probabilities that a man and his wife live for 80 years are \(\frac{2}{3}\) and \(\frac{3}{5}\) respectively. Find the probability that at least one of them will live up to 80 years
Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)