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An object of mass 2kg is placed on a smooth plane which is inclined at an angle of 30 degrees from the ground. Calculate the acceleration of the object.

Draw a free body force diagram of all the forces acting on the object. Resolve the forces parallel and perpendicular to the plane. Use the equation Σ F=ma to solve the acceleration.
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Answered by Dillon J. • Maths tutor
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Integral of sin^2(x) with respect to x

It is impossible to dirctly integrate sin^2(x) so we must transform it into something that can be integrated. Trigonometry can be used to do this. Recall the identity cos(2x) = cos^2(x) - sin^2(x) and cos^(x...
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Answered by Orlando F. • Maths tutor
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To what extent did US presidents hinder African American civil rights from 1865 to 1992?

Huge change occurred in regards to African American civil rights at the hands of US presidents from 1865 to 1992. These can be catagorised into social, political and economic spheres. Where one president bro...
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Answered by Sky M. • History tutor
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How are action potentials propagated across cholinergic synapses?

In order for action potentials to travel to their intended destination they must cross synapses . These synapses are the spaces between neurones' axon terminals and other neurones' dendrites . In the case of...
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Answered by Harry S. • Biology tutor
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Given that y=sin2x(3x-1)^4, find dy/dx

This is an example of the product rule. In this, y=uv and dy/dx = u(dv/dx) + v(du/dx) u = sin2x so du/dx = 2 * cos2x = 2cos2x v = (3x-1) 4 so dv/dx = 4 * 3 * (3x-1) 3 = 12(3x-1) 3 Therefore dy/dx = sin2x * 1...
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Answered by Chisom U. • Maths tutor
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