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Expand (x-5)(x+6)

expand the brackets X 2 + 6x - 5x - 30 2) collect like terms X 2 + x - 30
MP
Answered by Misha P. • Maths tutor
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Differentiate y = x^3 + 2x^2 + 4x + 3

3 x 2 + 2x + 4
BB
Answered by Billy B. • Maths tutor
4251 Views

Find the integral of a^(x) where a is a constant

Starting with ∫a x dx , We can re-write a x using logs as e ln(a)*x using some of their properties We use the substitution u = ln(a)*x (as such du/dx = ln(a)) allowing us to easily integrate e u with respect...
AP
Answered by Andreas P. • Maths tutor
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Aidan, Emily and Seth shared some sweets in the ratio 2 : 7: 4 Seth got 16 more sweets than Aidan. Work out the total number of sweets they shared.

The difference in the ratio of Aidan's to Seth's sweets is 4-2=2 To find the scale factor to multiply up the ratio by, we divide the true difference in Aidan's and Seth's sweets by the difference in the rati...
EC
Answered by Eleni C. • Maths tutor
4867 Views

Solve the differential equation dx/dt=-6*x , given when t=0 x=7.

You start by seperating the variables giving, (1/x)*dx=(-6)*dt you then integrate both sides with respect to the variables, ln(x)=-6*t+c you then subsitute in the given conditions to find 'c', ln(7)=0+c ther...
LC
Answered by Lucy C. • Maths tutor
8820 Views