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First differentiate the equation, giving you, y'=(1/x)+10x. To get the gradient at this point of the curve, plug in x=1, to get a y' value of 11, and a y value of 5. From there you can plug these three nu...

To work out the percentage increase, you need to find out the change in his weekly wage between the two years, and divide it by his original pay. You can use the formula (new-old)/old.
His new wage ...

This problem requires the use of the product rule.Let u= x-7 ; by differentiation du/dx = 1. Let v = (x-3)^2 ; by differentiation using the chain rule, dv/dx = 2(x-3)
Product Rule: dy/dx = u*...

(b² - 4ac)^1/2 = 0 ---> 1 root

Three whole numbers are each rounded to the nearest 10. The sum of the rounded numbers is 70.  Work out the maximum possible sum for the original three numbers.Sum of rounded numbers is 70, rounded number...