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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
7384 Views

There are 420 balls in a ball pool. There is a combination of violet, blue, yellow and green balls. 2/7 are violet, 35% are blue and the ratio of yellow to green is 4:5. How many of each colour ball is there in the ball pool?

Together, the total number of balls is 420. 2/7 of the total 420 balls are violet. Therefore the number of violet balls can be calculated by the equation 2/7 x 420/1 = 840/7=120. There are 120 violet balls i...
LW
Answered by Lauren W. • 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
3337 Views

How does Stevenson use Gothic imagery in Strange Case of Dr Jekyll and Mr Hyde?

The 18th century revival of Gothic medieval architecture brought a renewed focus onto the eeriness of setting in popular literature, providing a tool for writers to use their writings to describe the structu...
WN
Answered by William N. • English tutor
20813 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
9488 Views