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First I would draw a Diagram of y=x2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x2 we can then equate the sane point to (x, x2...
A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0. To construct this equation we must differentiate the function, we would find f'...
This problem is best solved using implicit differentiation and by tackling each side of the equation individually. First write down the problem as "y = x^x". Recalling that log rules can be used...
Use the identity sin^2(y) + cos^2(y) = 1 to get the expression sin^2(3x) (1-sin^2(3x)) cos(3x) dx.Use the substitution u= sin(3x) by dividing the expression by the derivative, u’= 3cos(3x).The expression ...
ball A has mass m and velocity u. ball B has mass 2 m and velocity 2uby conservation of momentum:mu - 4mu = mv + 2mx (1)where v is the velocity of ball A and x is the velocity of ball B after collision.by...
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