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Expand completely: (3a-6)(a+3)

Final Answer: a 2 +3a -18 Using FOIL (First, outside, inside, last) we multiply the terms in the brackets together. First: 3a multiplied by a = 3a 2 Outside: 3a x 3 = 9a Inside: -6 x a= -6a Last: -6 x 3 = -1...
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Answered by Sam S. • Maths tutor
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A curve has the equation y = 4x^3 . Differentiate with respect to y.

y = 4x 3 To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = ax b dy/dx = (ab)x (b-1) As you can see, to calculate dy/dx you must multiply the ...
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Answered by Samuel H. • Maths tutor
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Calculate the acceleration of particle thats velocity changes from 20ms^-1 to 40ms^-1 in 5 seconds, assuming its constant.

Acceleration is the rate of change of velocity, so we subtract the final velocity from the initial velocity and divide it by the time taken for the change. In this case the acceleration is (40-20)/5 = 4ms^-2...
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Answered by Orlando F. • Physics tutor
4187 Views

A student may ask me how to structure an answer to an exam question

An exemplar question is 'evaluate the strengths and weaknesses of the FPTP system'. I would prompt them to answer the question by defining the key words and giving a brief introduction. In this case it is th...
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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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