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Supposing y = arcsin(x), find dy/dx

Suppose: y = arcsin(x) Then, x = sin(y) And, dx/dy = cos(y) ----- (1) Using: dy/dx = 1/(dx/dy); Thus 1 becomes: dy/dx = 1/cos(y) ------ (2) Using: sin^2(y) + cos^2(y) = 1; We can rearrange 2 to: dy/dx = 1/sq...
JN
Answered by James N. • Maths tutor
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Give a brief description of the Big Bang and describe its link to cosmic microwave background radiation.

The Big Bang is the leading theory on the creation of the universe. It states that all mass and energy were concentrated at a single point before a large explosion occurred, signalling the start of time. In ...
RM
Answered by Rani M. • Physics tutor
3453 Views

Find the coordinates of the turning points of the curve y = 4/3 x^3 + 3x^2-4x+1

First differentiating by the rule that x n differentiates to nx n-1 we have that dy/dx = 4x 2 +6x-4. At the turning points of a curve the differential is equal to 0 so we set 0=dy/dx = 4x 2 +6x-4, by factori...
TE
Answered by Theo E. • Maths tutor
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Explain the Cardiac Cycle

Deoxygenate blood from the body drains into the right atrium of the heart through the superior and inferior vena cave vessels. When the atria contract, blood is squeezed through the tricuspid valve into the ...
SP
3798 Views

integrate xcosx

use integration by parts
SB
Answered by Sebastian B. • Maths tutor
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