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Solve the simultaneous equation: y+4x+1=0 y^2+5x^2+2x=0

Rearrange the first equation to get y on its own: y=-(1+4x) Substitute into the second equation: (1+4x)(1+4x)+5x^2+2x=0 21x^2+10x+1=0 Substite into the quadratic formula to solve (-b+/-(b^2-4ac)^0.5)/2a
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Answered by George L. • Maths tutor
4296 Views

a) Simplify 2ln(2x+1) - 10 = 0 b) Simplify 3^(x)*e^(4x) = e^(7)

a) To answer this question, one must be familiar with laws of logs, more sprecifically the rules when applied to the natural log of x, and exponentials (e). 2ln(2x+1) - 10 = 0 Step 1) 2ln(2x+1) = 10 Step 2) ...
JB
Answered by Jordan B. • Maths tutor
14812 Views

Find the intersection points between the graphs y=2x+5 and y=x^2-9.

To do this, first draw a sketch of both graphs to see roughly what kind of result we should expect to get. We know that at the intersection points, the values of x and y for both graphs must be equal. so set...
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Answered by Srinivass B. • Maths tutor
4018 Views

Integrate by parts x2^x

Here we will use integration by parts because we have the product of two terms, x and 2^x. Using the integration by parts formula, we have to differentiate one of these terms and integrate the other. We choo...
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Answered by Thomas V. • Maths tutor
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What is the integral of x^2 sin(x) between the limits 0 and π/2

For this question, we have to integrate x 2 multiplied by sin(x) . For integrating a product, you must use a method called integration by parts. Without bogging ourselves down with the derivation, we know th...
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Answered by Ruth W. • Maths tutor
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