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Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because i...

4x²+20x+8=-16First add 16 to both sides of the equation, this gives 4x²+20x+24=0 We always want to set the equation =0 for a quadratic as we are unable to solve it otherwise.Then we ...

To make y the subject of the formula you have to rearrange it so that it starts with 'y=' instead of 'x='. Starting with x = (6+2y)/(3-y), if we get rid of the fraction by multiplying both sides by (3-y),...

First insert x = 3 into the equation of the circle3^2 + y^2 = 459 + y^2 = 45 take 9 away from both sidesy^2 = 36 take the square root of both sidesy = 6 (not -6 as P is above the x-axis)Next find the grad...

Start by finding the first derivative of the function - by differentiating f(x) with respect to x. Then substitute the x-coordinate, in this case 2, into the first derivative and it will equal zero if (2,...