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Maths
A Level

Find the stationary points of y = (x-7)(x-3)^2.

This problem requires the use of the product rule.Let u= x-7 ; by differentiation du/dx = 1. Let v = (x-3)^2 ; by differentiation using the chain rule, dv/dx = 2(x-3)
Product Rule: dy/dx = u*...

Answered by Sam F. Maths tutor
3212 Views

Question shown in the answer section as a hyperlinked link.

Question tests students knowledge of trigonometric identities and reverse chain rule integration.

Answered by Samuel G. Maths tutor
2671 Views

A particle of mass m is placed on an slope with an incline 30 degrees. Once released it accelerates down the line of greatest slope at 2 m s^-2. What is the coefficient of friction between the particle and the slope?

Resolve forces perpendicular to the slope. No acceleration in this direction hence resultant force in this direction must equal zero:R = mg * cos(30) Apply Newtons second law in the direction parallel to ...

Answered by Daniel H. Maths tutor
3162 Views

Compare the following logarithms in base 1/2 without a calculator: log(8) and log(512)

Compare through subtraction : log0.5(8)- log0.5(512) = xUsing logarithm rule in addition/subtraction: loga (b)+loga(c) = loga(b*c) ; loga

Answered by Gael A. Maths tutor
2511 Views

y=7-2x^5. What's dy/dx?Find an equation for the tangent to the curve where x=1. Is itan increasing or decreasing function when x=-2?

dy/dx=-10x^4When x-1, gradient =-10 Tangent is then: y+10x=15When x=-2, dy/dx=-160 so a decreasing function

Answered by Khai L. Maths tutor
3773 Views

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