(a) Prove and verify that the gradient of the tangent line to the curve f(x) = V5x² + 3x – 1 at (1,1) is V7. 23 14 (b) Limits of functions are evaluated using many different techniques, such as recognizing a pattern, simple substitution or using algebraic simplification. Evaluate lim x 3x-4x²+2x 5x (c) Express (x²+x+1)(x-2) as a Partial fraction, hence or otherwise show that the given expression can be deduced as 5(-2x+1) 7(x+x+1) 10 7(x-2)

(a) Prove and verify that the gradient of the tangent line to the curve f(x) = V5x² + 3x – 1 at (1,1) is V7. 23 14 (b) Limits of functions are evaluated using many different techniques, such as recognizing a pattern, simple substitution or using algebraic simplification. Evaluate lim x 3x-4x²+2x 5x (c) Express (x²+x+1)(x-2) as a Partial fraction, hence or otherwise show that the given expression can be deduced as 5(-2x+1) 7(x+x+1) 10 7(x-2)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 48CR

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