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#2tanx  tan2x + 2a = 1  tan2xtan^2x# What is a?

When gasoline burns, it reacts with oxygen in the air and forms carbon dioxide and water vapour. How does the potential energy of the gasoline and oxygen compare with the potential energy of the carbon dioxide and water vapour?

A hydrate containing aluminium sulphate has the formula #"Al"_2 ("SO"_4)_3 * x"H"_2 "O"# and it contains 11.11% of aluminium by mass. Calculate the value of #x# in the hydrate formula.
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Find all solutions to the nonlinear systems: 4#sqrtx# + #sqrty# = 34 and #sqrtx# + 4#sqrty# = 16
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The density of a 20% by mass solution of sulphuric acid is 1.14g/ml. Calculate the mass of hydrogen sulphate in one litre of the solution.
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State the Derivative of #x#
State the Derivative of #1/x#
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#XCl_3# contains 67.2% chlorine by mass. Calculate the molar mass of X and identity the element.
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The density of a 20% by mass solution of sulphuric acid is 1.14g/mL. Calculate the mass of hydrogen sulphate in one litre of the solution.
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How to factor #16x^9# + #54y^3# using difference of cubes?

How to calculate the exponents in the differential rate law?

Find the derivative of #x + sqrtx# using first principles, the long way.
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If #19x  2y  32 = 0# is a tangent to the curve #y = px^3 + qx# at #(2,3)#. Then what are the values of #p# and #q# ?

Find the equation of the tangent to the curve #x + xy + y = 5# at #x = 5#
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The Moon orbits the Earth every #27.3# days. Determine the angular velocity in degrees.
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Calculate #vec u# + #vec v#
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Find the image of the point 1,2,3 in the plane x + 2y + 4z  38 =0
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Find value of  368/21 #vec u# + 991/21 #vec v#  1177/21 #vec w#  ?

The fuel of a rocket is launched is given by #x^2  140x +2000#. During what period of time is the mass of the fuel greater than 500t?