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Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions

x = i is a solution, and all the coefficients are real, so x = -i must also be a solution:2x^3+3x^2+2x+3 = 0(x+i)(x-i)(Ax+B) = 0 (we argued above that this must be the case)(x^2+1)(Ax+B) = 0(x^2+1)(2x+3) = 0...
BS
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Calculate the integral of e^x*sin x

1/2 *e^(x)(sin x -cos x)
Answered by • Maths tutor
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Explain how the mitochondria plays an important role in sustaining life?

The mitochondria is an organelle important for aerobic respiration. This is a process which uses glucose and oxygen to produce adenosine triphosphate, carbon dioxide and water. ATP is a molecule needed to pr...
FW
Answered by Felyx W. • Biology tutor
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integrate arcsin(x)

Use integration by parts to obtain:u=arcsin(x), u'=1/(1-x 2 ) 0.5 , and v'=1, v=x Using the equation: integral of uv' = uv - integral of u'vintegral of arcsin(x) = xarcsin(x) - integral of x/(1-x 2 ) 0.5 Use...
MG
Answered by Maya G. • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

72 / (3+4+5) = 6base :3 6 = 18height :4 6 = 24area = (base * height) /2area = (18*24)/2=216 cm ^2
IH
Answered by Ibrahim H. • Maths tutor
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