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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;Answered by James N. • Maths tutor5878 Views
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 vio...
First differentiating by the rule that xn differentiates to nxn-1 we have that dy/dx = 4x2+6x-4. At the turning points of a curve the differential is equal to 0 so w...
x = 10, y = 3. From the second equation, we have x = (9y - 7)/2. Substituting this expression for x into the first equation gives 3(9y - 7)/2 + 5y = 45. 3(9y - 7) + 10y = 90. 27y - 21 + 10y = 90. 37y = 11...
use integration by parts
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