Answered: A curve passes through the point (2,5)…

A curve passes through the point (2,5) and the gradient of the curve at any point is given by (4-5x). Use integration to find the equation of the curve.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Question

A curve passes through the point (2,5) and the gradient of the curve at any point is given by (4-5x). Use integration to find the equation of the curve.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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