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Find dy/dx for y=5x^3-2x^2+7x-15

Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply thi...

MT
Answered by Matthew T. • Maths tutor
12831 Views

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

Step 1: Multiply everything by x-4 to give 

(2x+3) - ((2x-8)(x-4)/2x+1)=(x-4)

Step2: Multiply everything by 2x+1 to give

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

MT
Answered by Matthew T. • Maths tutor
8690 Views

Why doesn't the concentration of products or reactants change when a reaction is at dynamic equilibrium?

At dynamic equilibrium in a closed system (for example, in the Haber process to make ammonia), both the forward and backward reactions continue to occur. However, both reactions happen at the same rate...

RA
Answered by Rose A. • Chemistry tutor
5300 Views

How do you integrate by parts?

When you are faced with an integral which is a product, such as x.cos(x), you may be able to integrate it by parts. The statement of the integration by parts is that:

∫u(dv/d...

TW
Answered by Tim W. • Maths tutor
6761 Views

How do you factorise a quadratic equation?

A quadratic expression is of the form ax​2+bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of...

TW
Answered by Tim W. • Maths tutor
4819 Views

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