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A particle of weight 15N is resting on a plane inclined at an angle of 30°. Find : a) the normal force exerted on the particle, b) the coefficient of friction between the particle and the plane, providing it is in limiting equilibrium

The normal force can be calculated using cos(30)x weight = 12.99N From the equation F=μN, μ can be calculated as F/N and as it is at rest F is equal to component of weight parallel to the plane Therefore, F=...
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Answered by Tamara H. • Maths tutor
3763 Views

d/dx ( sin x) ^3

3(sin x) ^2 cos x
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Answered by Oscar G. • Maths tutor
3635 Views

differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x 3 e -4x u = 4x 3 v = e -4x du/dx = 12x 2 dv/dx = -4e -4x using the product rule; vdu +udv vdu + udv = 12x 2 e -4x - 16x 3 e -4x
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Answered by Lewis M. • Maths tutor
4020 Views

(A) express 4^x in terms of y given that 2^x = y. (B) solve 8(4^x ) – 9(2^x ) + 1 = 0

(A) express 4 x in terms of y given that 2 x = y. we know that 2 2 = 4. so 4 x = 2 2^x = (2 x ) 2 = y 2 .so whenever you have 2 C^D it doesnt matter which order you solve. you can do (2 C ) D or (2 D ) C ( B...
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Answered by Sadat T. • Maths tutor
36186 Views

"Why is Mathematics important, I wont use any of it when I start work?"

This is a common question asked by young students and adults, which demotivates them to study and prevents passion from being the driving force during the tougher chapters. Mathematics is used in every indus...
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Answered by Ashish T. • Maths tutor
3845 Views