c) The equation of a curve is y = 5x + 4i.Calculate the gradient of the curve at the point where x = 1A point with coordinates (x,y) moves along the curve in such a way thatthe rate of increase of x has the constant value 0.03 units per second.ii.Find the rate of increase of y ath the instant when x = 1.ii.Find the area enclosed by the curve, the x - axis, the y - axis and the liney = 1.

Gradient: The gradient is a synonym for "slope." The steeper the line is at the place the higher is…

c) The equation of a curve is y = √5x+4 i. Calculate the gradient of the curve at the point where x = 1 ii. that A point with coordinates (x,y) moves along the curve in such a way 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.

c) The equation of a curve is y = √5x+4 i. Calculate the gradient of the curve at the point where x = 1 ii. that A point with coordinates (x,y) moves along the curve in such a way 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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...

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