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A quarter circle represents a piece of land. The length of the straight sides is 100 ft each. If the land is enclosed by a fence, what is closest to the length, in feet, of the fence?

Perimeter of a quarter circle = (2πr)/4 r = 100ft P = (2πr)/4 = (2×3.14×100)/4 = 157 Because we are calculating the length of the fence – as the fence goes around the land – for the two straight sides - the ...
GW
Answered by Gift W. • Maths tutor
7526 Views

How to integrate by parts

Sometimes while integrating, we may come across an expression that is not a polynomial, and thus we cannot use the convenient power rule to integrate. Consider the function y=xcos(x). It is not immediately c...
DL
Answered by Dennis L. • Maths tutor
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Differentiate y = 4ln(x)x^2

So we want to differentiate y = 4x 2 ln(x) with respect to y. For this we need to use the product rule. The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x) We can therefore make f(x) = 4x 2 and g(x) = l...
BP
Answered by Beth P. • Maths tutor
7388 Views

Sarah’s collection contains dresses, skirts and blouses. If the ratio of dresses to skirts is 7 to 4 and the ratio of skirts to blouses is 7 to 2, what is the ratio of dresses to blouses?

Skirts are common in both ratios. Multiply both ratios by the factors such that skirts are represented by the same number Dresses: skirts = 7: 4 Skirts: blouses = 7: 2 Multiply the first by 7 and the second ...
GW
Answered by Gift W. • Maths tutor
8503 Views

How do you integrate e^x cos x

∫ e x cos x dx First of all, we have to think of which method we want to use to approach this problem. There are a few options we can consider such as integration by parts and substitution. In this case, int...
TJ
Answered by Ta J. • Maths tutor
59833 Views