SOLUTION: c) The equation of a curve is y = squrt of 5x + y i. Calculate the gradient of the curve at the point where x = 1 ii. A point with coordinates (x,y) moves along the curve in such

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Question 1164689: c) The equation of a curve is y = squrt of 5x + y
i. Calculate the gradient of the curve at the point where x = 1
ii. A point with coordinates (x,y) moves along the curve in such a way that
the rate of increase of x has the constant value 0.03 units per second. Find
the rate of increase of y ath the instant when x = 1.
iii. Find the area enclosed by the curve, the x - axis, the y - axis and the line
y = 1.

Answer by ikleyn(53570)   (Show Source): You can put this solution on YOUR website!
.
c) The equation of a curve is y = squrt of 5x + y
i. Calculate the gradient of the curve at the point where x = 1
ii. A point with coordinates (x,y) moves along the curve in such a way that
the rate of increase of x has the constant value 0.03 units per second. Find
the rate of increase of y ath the instant when x = 1.
iii. Find the area enclosed by the curve, the x - axis, the y - axis and the line
y = 1.
~~~~~~~~~~~~~~~~~~~~~~~~~~


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