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Integrate sinxcosx dx

Since the question is a trigonometry question, we shall use integration by recognisation, in which case, we found out that the derivative of sin x is cos x.Therefore by chain rule, we can integrate the funct...
HL
Answered by Harris L. • Maths tutor
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Find the values of x where x^(2) + 4x + 4 = 0

To solve this question we need to find the values of x which work for the equation x^(2) + 4x + 4 = 0. To solve the equation we can factorise the left-hand side into brackets which will multiply together to ...
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Answered by Ben A. • Maths tutor
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Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 . S...
ZL
Answered by Zoe L. • Maths tutor
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A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.

THIS IS FOR MATHS STUDIES, NOT MATHS SL The question is from the 2014 specimen paper First, find the common ratio:U1 = 7U3 = 28 (Identify Formula): Un = U1 x r^n-1 U3 = 7xr^3-1 28 = 7xr^2 r = 2 Then, find th...
LW
Answered by Lottie W. • Maths tutor
5264 Views

FIRSTLY: John has a slice of pizza in the exact shape of an isosceles triangle. 2 sides measure Y + 5 and 1 side measures Y – 2. Write an expression for the total perimeter. SECONDLY: Multiply out the following brackets: (3Y + 8)(3Y + 2)

First part: An isosceles triangle has 2 sides of the same length and 1 side of a different length. 2 of these sides: 2 x (Y + 5) = 2Y + 10. 1 side: Y – 2. The perimeter is the total ‘edge’ of the shape. (If ...
RW
Answered by Rosie W. • Maths tutor
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