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Find the stationary points of y = (x-7)(x-3)^2.

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*(dv/dx) + v*(du/...
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Answered by Sam F. • Maths tutor
4235 Views

How many roots does the following equation have? 2x^2 + 4x +2 = 0

(b 2 - 4ac) 1/2 = 0 ---> 1 root
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Answered by Rayan B. • Maths tutor
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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.

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 numbers ma...
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Answered by Daria C. • Maths tutor
13622 Views

Simplify 2a^3 b × 5a^2 b^3

Law of indices : Rule: a^m * a^n = a^m+nTo multiply expressions with the same base, copy the base and add the indices. Lets start with gathering the a's - a^3 and a^2 adding the indices gets a^5Now b's - b^4...
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Answered by Elise P. • Maths tutor
4876 Views

Question shown in the answer section as a hyperlinked link.

Question tests students knowledge of trigonometric identities and reverse chain rule integration.
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Answered by Samuel G. • Maths tutor
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