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Solve the simultaneous equations 5x + 2y = 4 and x - y - 5 =0

First label the equations. 1: 5x + 2y = 4 . 2: x - y - 5 = 0 . Rearrange equation 2 . 2: y = x - 5 Substitute equation 2 into equation 1 . 5x + 2( x - 5 ) = 4 . 7x = 14 . x = 2 . Substitute x = 2 into equati...
CS
Answered by Conor S. Maths tutor
6074 Views

Integrate the function f(x)=3^x+2 with respect to x

First note that a=e ln(a) and ln(a b )=b ln(a)By substituting a=3 x we get a=3 x =e ln(3^x) =e x ln(3) , and hence f(x)=e x ln(3) +2∫ f(x)dx=∫ e x ln(3) +2 dx . First we can split this into the sum of two in...
CC
Answered by Christian C. Maths tutor
3460 Views

Find the maximum value of 2sin(x)-1.5cos(x)

Put the equation in the form Rsin(x-a) (=Rsin(x)cos(a)-Rcos(x)sin(a)). Looking at the original equation Rcos(a) = 2 and Rsin(a) = 1.5. Tan(a)=1.5/2 and R^2= 2^2 +1.5^2. Therefore R = 2.5 and a = 0.6435.The m...
TA
Answered by Tom A. Maths tutor
8808 Views

What is the impact of new and emerging technology on production?

New and emerging technology can have many positive impacts on production. The improvement in technology can be brought into businesses and manufacturers to improve quality, accuracy, production rate and spee...
NS
3046 Views

'Vietnam was Johnson's war' Discuss

There are multiple ways this question can be answer. Either ‘yes’ it was his war Or ‘No’ it wasn’t Both have to look at it from a president standard Would look at Eisenhower and Kennedy in one paragraph They...
AH
Answered by Amy H. History tutor
2848 Views