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Differentiate the following equation with respect to x; sinx + 3x^2 - 2.

The first step with any differentiation question is to identify which variable you are differentiating with respect to. In this case the variable is x, so we know we're looking to differentiate each term inv...
RA
Answered by Ross A. • Maths tutor
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Factorise and solve x^2 - 8x + 15 = 0.

15 can be rewritten as 3*5, so our factorisation must be in the form (x ? 3)(x ? 5). To determine the signs inside the brackets we need to find a way to make -8 from 3 and 5. This is done with -8=-5-3, so we...
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Answered by James W. • Maths tutor
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During the light-independent reaction of photosynthesis, CO2 is converted into organic substances, describe how.

The light-independent reaction (Calvin cycle) takes place in the absence of light. Firstly, CO2 combines with ribulose biphosphate (RuBP) to produce two molecules of glycerate-3-phosphate (GP). GP is reduced...
TT
Answered by Tom T. • Biology tutor
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State whether the following conduct electricity as solid or molten: Aluminium, Aluminium fluoride, Boron tribromide

We start with aluminium (Al). Al conducts electricity in both solid and molten states, this is because Al has metallic bonding between fixed positive Al^(3+) ions and delocalised electrons. The delocalised e...
TT
Answered by Tom T. • Chemistry tutor
39283 Views

Find the general solution of: y'' + 4y' + 13y = sin(x)

First we find the auxilary equation by substituting y with m^0, y' with m^1 and y'' with m^2. We get m^2 + 4m + 13 and find the roots using the differential equation, m = (-4 +- (16-4x1x13)^0.5)/(2x1). From ...
TT
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