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Given a material with dimensions 1.5 x 1.1 x 1.6 mm ^3 and a mass of 0.5kg. What is the density of this material? Give your answer in kg/m^3

First it’s important to check units, we notice that the dimensions are given in mm. Therefore in order to convert this to m^3 we need to multiply the volume in mm by (10^-3)^3 which gives us 2.64 x 10^-9.Nex...
DV
Answered by Davina V. • Maths tutor
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If L1 is y = 3x + 15 and L2 is 3y + 20 = 9x show whether or not L1 and L2 are parallel.

Theory - Two lines on a graph will be parallel if their gradient is the same. The general equation of a line is y = mx + c where y and x are variables, m is the gradient and c is the y intercept. hence if th...
CM
Answered by Chris M. • Maths tutor
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How do you find the distance a ball travels if fired at speed u and angle theta from the ground?

From a right angled triangle with hypotenuse u and angle theta, we see the horizontal speed is (u cos theta) and the initial vertical speed is (u sin theta). As the ball moves in a symmetric parabola, it hit...
DB
Answered by Douglas B. • Maths tutor
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Using first principles find the differential of x^2

Lim ((f(x+h)-f(x)))/h= lim(((x+h) 2 -x 2 )/h)=lim((h 2 +2xh)/h) as h tends to 0 the limit becomes 2x
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if f is defined on with f(x)=x^2-2x-24(x)^0.5 for x>=0 a) find 1st derivative of f, b) find second derivative of f, c) Verify that function f has a stationary point when x = 4 (c) Determine the type stationary point.

a) f'(x)=2x-2-12x 1/2 B)f'(x)=2+6x -3/2 c)f'(4)=0d) local minimum
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