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Maths
A Level

The triangle ABC is such that AC=8cm, CB=12cm, angle ACB=x radians. The area of triangle ABC = 20cm^2. Show that x=0.430 (3sf)

From the equation of the area of a triangle,
Area = 1/2 ACCBsin(C)
20 = 1/2 * 8 *12 * sin(x) 
=> sin(x) = 0.416666...
=> x = 0.430 to 3sf

LD
Answered by Laura D. • Maths tutor
7242 Views

For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?

100=ab

P=2a+2b

P=2a+200/a

dP/da=2-200/a^2

dP/da=0 implies 2=200/a^2

a^2=100

a=-10,10

a is a length so t...

DN
Answered by Daniel N. • Maths tutor
11474 Views

Find the integral of 3x^2 + 4x + 9 with respect to x.

We must first remember that to integrate, we must increase the power by 1 and divide by this new power.

Therefore, to integrate 3x^2 + 4x + 9, we take the first term, 3x^2

DJ
Answered by Dylan J. • Maths tutor
9418 Views

What is the integral of (cos(x))^2?

cos(2x) = 2cos2(x)-1 by the double angle formula.

Rearrange to give cos2(x) = (cos(2x)+1)/2

Integrating this gives sin(2x)/4 + 1/4x + c 

...

MC
Answered by Max C. • Maths tutor
6161 Views

What is a stationary point on a curve? How do I calculate the co-ordinates of a stationary point?

A stationary point simply means a point in a curve where the gradient is equal to 0.For example, in the June 2015 C3 Paper it is asked:Find the exact values of the coordinates of the stationary points of ...

ML
Answered by Martin L. • Maths tutor
5871 Views

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