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Show that the volume of the solid formed by the curve y=cos(x/2), as it is rotated 360° around the x-axis between x= π/4 and x=3π/4, is of the form π^2/a. Find the constant a.

After sketching a diagram of the curve and the solid for clarity, we see that we need to use the formula V = π∫ y2 dx (with upper and lower bounds of 3π/4 and π/4 respectively) to calculate the...

NC
Answered by Nicholas C. Maths tutor
3623 Views

Margret wants to share £36 in a ratio of 3:4 between her two grandchildren, Anna and Katie. How much money will Katie get?

36/12 = 33x4 = 12Katie gets £12

MN
Answered by Martha N. Maths tutor
4259 Views

Find and describe the stationary points of the curve y = x^2 + 2x - 8

Stationary points occur when the derivative is = 0Derivative: 2x + 2 = 0, so a stationary point occurs when x = -1y = 1 + 2 - 8 = -5Second derivative = 2Therefore, the stationary point (-1,2) is a minimum...

MN
2372 Views

Describe how to perform a flame test to identify an unknown compound.

The equipment needed is a bunsen burner, a wire loop, some HCl, and the compound being tested (usually in powder form). Set up the bunsen burner so that it is on a blue flame. Take the wire loop and dip i...

MN
Answered by Martha N. Chemistry tutor
3602 Views

‘The most important contribution to the creation of a united Italy in 1861 was made by Cavour.’ How far do you agree?

This question is rooted in broader debates about historical causation. Such debates can be identified in most A Level questions and can essentially be boiled down to assessing the most important agents of...

JB
Answered by Jack B. History tutor
3437 Views

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