SOLUTION: Hello amazing tutors, can you help me solve this question? Thank youu The equation of a curve is {{{ y = sqrt(5x + 4) }}} (i) Calculate the gradient of the curve at the point

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Question 1040748: Hello amazing tutors, can you help me solve this question? Thank youu
The equation of a curve is
(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 at the instant when x = 1
(iii) Find the area enclosed by the curve, the x-axis, the y-axis and the line x = 1

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
(i) ==> ==>

(ii) ==> ==> unit per second.

(iii) Area =
=
=
=

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