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Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)
Find the area of the figure bounded by the given pair of curves y = x\(^2\) - x + 3 and y = 3
The maximum value of the function
f(x) = 2 + x - x\(^2\) is
Find the derivative of y = sin(2x\(^3\) + 3x - 4)
If y = (1 - 2x)\(^3\), find the value of dy/dx at x = -1
A chord of a circle subtends an angle of 60o at the length of a circle of radius 14 cm. Find the length of the chord
Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the
A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
In the diagram above, O is the center of the circle,
∠UOT = 70º and ∠RST = 100º. Calculate ∠RUO.
An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity element
Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96
The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\leq\) 0