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Find the minimum value of the function y = x(1+x)
Differentiate sin x - x cos x
Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)
If sinθ = 3/5. Find Tanθ
Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0
The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]
Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.
Find the area of the figure above
[π = 22/7]
In the diagram above ∠OPQ is?
Find the exterior angle of a 12 sided regular polygon
In the diagram above, PQ//RS. The size of the angle marked x is?
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0
Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x
If p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32
If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\)