x3 14. Find the point(s) of the tangent to the curve h(x) = = - 5x28x+3 with same slope 4 3 as 48x + 2y = 11 *Round answers to 1 decimal place. [7 Marks] 12. Given the point (2, 1) on a tangent line to the curve f(x) = x² - 2x + 5 find the point(s) where the tangent touches f(x). [5 Marks] Section 4: Application 13. Find the equation of the tangent to the function f(x) = Il+ - + NIX x MIN 4 if x 1. [6 Marks] x

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
Question
x3
14. Find the point(s) of the tangent to the curve h(x) =
=
-
5x28x+3 with same slope
4
3
as 48x + 2y = 11 *Round answers to 1 decimal place. [7 Marks]
Transcribed Image Text:x3 14. Find the point(s) of the tangent to the curve h(x) = = - 5x28x+3 with same slope 4 3 as 48x + 2y = 11 *Round answers to 1 decimal place. [7 Marks]
12. Given the point (2, 1) on a tangent line to the curve f(x) = x² - 2x + 5 find the point(s)
where the tangent touches f(x). [5 Marks]
Section 4: Application
13. Find the equation of the tangent to the function f(x) =
Il+
-
+
NIX
x
MIN
4
if x 1. [6 Marks]
x
Transcribed Image Text:12. Given the point (2, 1) on a tangent line to the curve f(x) = x² - 2x + 5 find the point(s) where the tangent touches f(x). [5 Marks] Section 4: Application 13. Find the equation of the tangent to the function f(x) = Il+ - + NIX x MIN 4 if x 1. [6 Marks] x
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