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Given y = 3x^(1/2) - 6x + 4, x > 0. 1) Find the integral of y with respect to x, simplifying each term. 2) Differentiate the equation for y with respect to x.

  1. When integrating remember the general rule: x^n --> x^(n+1)/(n+1). Now look at each term separately. 3x^(1/2) --> 3x^(3/2)/(3/2) = 2x^(3/2)-6x --> -6x^(2)/2 = -3x^24 = 4x^(0) --> 4x^(1)/...
Answered by Scott O. Maths tutor
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solve the differential equation dy/dx=(3x*exp(4y))/(7+(2x^(2))^(2) when y = 0, x = 2

Move y terms to the left hand side and the keep the x terms on the right hand side: dy*(1/(exp(4y))) = dx*(3x/(7+2x^(2))^(2))
First, solve the right hand side by using a substition: u = 7 + 2x^(...

Answered by Maths tutor
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Differentiate the equation 4x^5 + 2x^3 - x + 2

When you differentiate you find the equation which lets you find the gradient of the equation at a specific point.To do so you multiply the power of the x by the respective coefficient, then that becomes ...

Answered by Maths tutor
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Differentiate the equation 3x^4+6x^2-7x+2

To differentiate, multiply the power by the coefficient and then take one off the power so the answer is 12x3 + 12x - 7

Answered by Aimee S. Maths tutor
2299 Views

Write an equation for a line parallel to 2y = 4x - 10

Divide the equation by two to get y = 2x - 5This shows that the gradient of the line is 2. Any other equation with the gradient equal to 2 (the x coefficient) when the y coefficient is 1.e.g. y = 2x +12 <...

Answered by Aimee S. Maths tutor
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