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

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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

3361 Views

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

Compare through subtraction : log_0.5(8)- log_0.5(512) = xUsing logarithm rule in addition/subtraction: log_a (b)+log_a(c) = log_a(b*c) ; log_a

Answered by Gael A. • Maths tutor

2758 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

3996 Views

What does a 95% confidence interval reflect?

It reflects the set of values for which 95% of a normally distributed sample lies, which tells us with 95% confidence that the mean value lies within this interval. 95% confidence means the likelihood tha...

Answered by Caitlin P. • Maths tutor

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