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Integrate 10x(x^1/2 - 2)dx

First, expand the brackets. This will give us 10x^3/2 - 20x. Now to integrate this expression we have to increase the power of each term by one and then divide them by the number which becomes the new power....
GS
Answered by Giorgia S. • Maths tutor
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A curve has parametric equations -> x = 2cos(2t), y = 6sin(t). Find the gradient of the curve at t = π/3.

First we need to find the derivatives of x and y in terms of t. dx/dt can be found using the chain rule. Differentiating the inside of the bracket gives us 2. Multiplying the outside gives -2sin(2t) (Derivat...
MM
Answered by Matvei M. • Maths tutor
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Solve 4 + 3(2x - 5) = x + 9.

4 + 3(2x - 5) = x + 9, 3(2x - 5) = x + 5, 6x - 15 = x + 5, 5x = 20, x = 20/5, x = 4
MC
Answered by Megan C. • Maths tutor
7207 Views

How do I remember the common values of cosx, sinx and tanx?

To remeber the equations us SOH CAH TOA. This is Sinx = Opposite/Hypotenuse, Cos x = Adjacent/Hypotenuse and Tanx = Opposite/Adjacent. For values x=pi/3 and x=pi/6 always start by drawing an equilateral of s...
BL
Answered by Becky L. • Maths tutor
3896 Views

Simultaneous questions: 2x+y=7, 3x-y=8

First of all, you want to get both of the questions equating to y as this is a common factor between the two equations. SO y=7-2x and 3x-8=y As both of the equations are equal to y, we can set them equal to ...
BJ
Answered by Bronnie J. • Maths tutor
3480 Views