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Solve the differential equation: dy/dx = tan^3(x)sec^2(x)

dy/dx = tan 3 (x)sec 2 (x) Integrate both sides ==> ∫dy= ∫ tan 3 (x)sec 2 (x) dx Use the substitution u=tan(x) And by differentiation du/dx = sec 2 (x) , which leads to dx = du/sec 2 (x) ==> and subbin...
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Answered by Ryan S. • Maths tutor
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Solve this quadratic equation by factorising: x^2-x-6=0

In order to solve this equation (x 2 -x-6=0) using the factorising method, you should first find the two numbers that mutiply to -6 and add to -1. The two numbers that do this are 2 and -3. Therefore, (x+2) ...
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Answered by Arrthe N. • Maths tutor
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Hairdresser A charges £66 for a haircut and has an offer of 1/3rd off. Hairdresser B charges £70 for a haircut and has an offer of 20% off. Which hairdresser is cheaper?

Hairdresser A as they charge £44 wheras Hairdresser B charges £56
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Answered by Ellen N. • Maths tutor
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Work out an estimate for the value of (8.1 x 198)/0.0491

So, the question has asked to "estimate" not calculate an exact answer. Therefore, the first step is to round the values into ones that are easier to work with: 8.1 -> 8 ; 198 -> 200 ; 0.0491...
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Answered by Naomi H. • Maths tutor
7518 Views

Simplify 7h + 5k + h - 7k

Figure out which of the variables are like terms, i.e which variables are the same and can be combined together? 7h + 5k + h - 7k Here we've added h to 7h: 8h + 5k - 7k And then, taken 7k away from 5k: 8h + ...
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Answered by Naomi H. • Maths tutor
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