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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 aro...

GW
Answered by Gift W. Maths tutor
7205 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 immedia...

DL
Answered by Dennis L. Maths tutor
4620 Views

Differentiate y = 4ln(x)x^2

So we want to differentiate y =  4x2ln(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...

BP
Answered by Beth P. Maths tutor
6897 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: blouse...

GW
Answered by Gift W. Maths tutor
8158 Views

How do you integrate e^x cos x

∫ excos 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 su...

TJ
Answered by Ta J. Maths tutor
57149 Views

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