Top answers

Maths
A Level

A particle is in equilibrium under the action of four horizontal forces of magnitudes 5 newtons acting vertically upwards ,8 newtons acting 30 degrees from the horizontal towards the left,P newtons acting vertically downwards and Q newtons acting to right

first of all we need the resolve the diagonal force into its horizontal and vertical components. Using trigonometry you can deduce that the horizontal component equates to 8Cos30 and the vertical componen...

AA
Answered by Ali A. Maths tutor
6300 Views

A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?

Assume angle of throw theta. Resolving vertical and horizontal components: Vvert=v.sin(theta) and Vhoriz=v.cos(theta).From 'suvat' equations, time to vertical stationary t=v/a. This must be doubled to fin...

BW
Answered by Benjamin W. Maths tutor
3540 Views

f(x) = e^(sin2x) , 0 ≤ x ≤ pi (a). Use calculus to find the coordinates of the turning points on the graph of y = f(x)

First, understand the concept of a turning point (zero gradient, implying first derivative is zero at the turning point)How do we differentiate exponentials ( if f(x) = e^g(x) then f'(x) = g'(x)*e^g(x) ) ...

MW
Answered by Marco W. Maths tutor
6469 Views

Find the integral of (cosx)*(sinx)^2 with respect to x

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our ...

HS
Answered by Harry S. Maths tutor
6829 Views

express 9^(3x+1) in the form 3^(ax+b)

93x+1 =(32 )(3x+1) =36x+2

HD
Answered by Harry D. Maths tutor
3354 Views

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