Unsweetened condensed milk is a shelf-stable canned milk product. If 100kg of fresh milk, containing 87% water and the rest milk solids, is condensed using an evaporator to remove 60% of the water from the fresh milk, calculate:

 The mass of water evaporated

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#Question id: 14941

#Section 1: Engineering Mathematics

If f(x, y) is such that fx = e^x cos y and fy = e^x sin y then which of following is true

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#Question id: 14942

#Section 1: Engineering Mathematics

If f(x, y) = ln (x² + y²) then

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#Question id: 14943

#Section 1: Engineering Mathematics

If z = x⁴ + 3xy - y² and y = sin x then dz/dx is

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#Question id: 14944

#Section 1: Engineering Mathematics

A point P is moving along curve of intersection of paraboloid x² /16 - y²/9 = z and cylinder x2 + y2 = 5. If x is increasing at the rate of 5cm/s how fast is z changing when x = 2m and y = 1 cm ?

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#Question id: 14945

#Section 1: Engineering Mathematics

The general solution of  

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#Question id: 14946

#Section 1: Engineering Mathematics

If z = xe^y/x then