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A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.

If the curve is meeting the x-axis, notice that this means y = 0. So we must solve sin(t)sin(2t) = 0 for t within the given bounds. Using a trigonometric identity sin(2t) = 2cos(t)sin(t), we obtain sin

Answered by Callum B. • Maths tutor

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Why can't you divide something by 0?

Let's go back to the definition of division: If we have a number o apples a and b persons to share them with, we can say that each person gets a/b apples. Example: 4 apples and 2 p...

Answered by Andreea-Lorena M. • Maths tutor

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Expand and simplify (3 + 4root5)(3 - 2root5)

Using FOIL to expand the brackets we get

9 - 6root5 + 12root5 + 8*root5^2

Square rooting then squaring a number cancels out, so we are left with 8*5 or 40 for the last term.

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Answered by Callum M. • Maths tutor

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The points A and B have coordinates (1, 6) and (7,− 2) respectively. (a) Find the length of AB.

AB²= (1 - 7)² + (6 + 2)² = 36 + 64 = 100 If AB² = 100 then AB = 10

Answered by Antonio D. • Maths tutor

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Calculate the shaded finite region between the curve and the axis for the curve: 3x^2 +11x -4 = 0

3x²+11x-4=0 #Factorise to find where the curve crosses the x axis (3x-1)(x+4)=0 #Each bracket equals 0 x=1/3, -4 #Integrate the curve between these two points to find the area enclosed in the ...

Answered by Hugo F. • Maths tutor

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