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How do I find the reultant force acting on an object sitting on a slope?

Firstly, you should consider what forces are acting on the object and in what direction. It helps to draw a large diagram to label. In most questions, the forces should be told to you. It helps to keep in...

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Given a curve has the equation f'(x) = 18x^2-24x-6 and passes through the point (3,40), use integration to find f(x) giving each answer in its simplest form.

Firstly we need to integrate f(x). The general rule is: the integral of x^n = (1/(n+1))x^(n+1)+CSo apply that rule to each term of f'(x) as so:Integral of 18x^2 = (18/(2+1))x^(2+1) = 6x^3...

Answered by Henry B. • Maths tutor

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Solve the simultaneous equations x – 2y = 1 and x^2 + y^2 = 29.

Start by modifying the first equation and making a third x=2y+1x²= (2y+1)² x²=4y²+4y+1therefore, if we sub this 3rd equation into the 2nd equation we get :4y

Answered by Adamya P. • Maths tutor

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There is a Ferris wheel where the passengers are placed 10m away from the centre. At what speed must they be moving in order for them to feel completely weightless at the top of the wheel.

In order for the passenger to feel weightless, they must have a vertical acceleration equal to the acceleration due to gravity, i.e. they must be accelerating downward at a rate of 9.81m/s². ac...

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Find the gradient of the curve y = sin(2x) + 3 at the point where x = pi

This is a question that relates to the topic of differentiation. Typically students encounter this topic near the end of the first term of the first year of their A Level.The equation of the curve, y = si...

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