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Use Simpson's rule with 5 ordinates (4 strips) to find an approximation to "integral between 1 and 3 of" 1/sqrt(1+x^3) dx giving your answer to three significant figures.

Just as a note before I start, some of the symbols I use here will be horribly confused, this won't be an issue with a whiteboard but doing maths in a text editor is not great so I've had to make do. Taking ...
DA
Answered by Dominic A. • Maths tutor
10356 Views

How do I solve these two equations simultaneously: 7x+y=1 and 2x^2 - y = 3

These types of questions can sometimes throw people off due to the quadratic nature of the second equation but don't fret; we'll use a method called substitution to find the answer! Firstly, we rearrange the...
ZS
Answered by Zacchaeus S. • Maths tutor
3354 Views

The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

1 st calculate: 93 000 000 × 2π 2 nd calculate: 365×24 Then divide the two values: 186 000 000π÷8760 = 66705 (5 s.f.)
SJ
Answered by Simbarashe J. • Maths tutor
9440 Views

Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4

Answer = (3,17.5) maximum (4,17.33) minimum First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into orginal eq...
JS
Answered by John S. • Maths tutor
9092 Views

Integrate (2x)(e^x)dx

Solve via Integration by parts: let u=2x and dv/dx=e x the function that is u and the one that is dv/dx is given by LATHE (easier to explain on whiteboard) make the table: u=2x => du/dx=2; dv/dx = e x =&g...
MR
Answered by Maksadul R. • Maths tutor
23193 Views