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A block mass m lies on an incline rough plane, with coefficient of friction µ. The angle of the block is increased slowly, calculate the maximum angle of the slope that can be achieved without the block slipping.

First draw out the free body diagram for the problem, marking on all forces acting on the objects ie. the mass of the block and the reaction force normal to the plane and the forces acting due to friction...

Answered by Cameron A. • Maths tutor

4168 Views

Given that the binomial expansion of (1 + kx) ^ n is 1 - 6x + 30x^2 + ..., find the values of n and k.

Setting (1 + kx)ⁿ equal to 1 - 6x + 30x² + ..., the binomial expansion can be applied to the LHS, by making use of the formula provided in the formula book. In this case, where x app...

Answered by Sanchit G. • Maths tutor

13847 Views

What is completing the square?

Completing the square is a method for rewriting a quadratic expression, and can be useful in identifying the minimum value of the expression. The aim is to end up with an expression which looks like c((x+...

Answered by Lucy F. • Maths tutor

2917 Views

Solve the simultaneous equations 3x+2y=8 and 3y+4x=11

Equal out the x terms so 12x+8y=32 and 9y+12x=33Then subtract the first equation from the secondThis gives y=1Put this value into one of the equations so 12x+8=32Solve the equation giving x as 2.

Answered by Emily P. • Maths tutor

4589 Views

A curve has equation -2x^3 - x^2 + 20x . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

Lets think about what stationary points actually mean. A stationary point of a curve is where the gradient is equal to 0. Illustrate by plotting the graph of y = x^3.We know that by differentiating the eq...

Answered by Torty S. • Maths tutor

3539 Views