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First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve ...

By product rule,
dy/dx = x³(2/2x) + 3x²ln(2x)
= x²(1 + 3ln(2x))

a) Distance between two points ((x2- x1)^2 + (y2-y1)^2)^1/2Substitute in values to find distance.b) Write out l1 in vector form using info from points A and B.Use knowledge of scalar product to construct ...

divide the coefficient of the x term by 2-4/2=-2this is the value of the term, q.to find the term, y, simply square the value of q, and subtract it from the number term, which is in this case, 9(-2)^2=4. ...

Differentiate Implicitly with respect to x- ( do it term by term, terms with only x's diff normally, terms containing a Y should be differentiated following the standard pattern but then multiplied by dy/...