The equation of the tangent lineto the graph of the function f ( x ) = x 2 at the point ( 3 , 9 ) with the use of graphing calculator and check whether the answers matches with that of Exercise 18 (a).
The equation of the tangent lineto the graph of the function f ( x ) = x 2 at the point ( 3 , 9 ) with the use of graphing calculator and check whether the answers matches with that of Exercise 18 (a).
Solution Summary: The author explains how to calculate the equation of the tangent at the point (3,9).
To calculate: The equation of the tangent lineto the graph of the function f(x)=x2 at the point (3,9) with the use of graphing calculator and check whether the answers matches with that of Exercise 18 (a).
(b)
To determine
To calculate: The equation of the tangent lineto the graph of the function f(x)=x2 at the point is (−1,1) with the use of graphing calculator and check whether the answers matches with that of Exercise 18 (b).
(c)
To determine
To calculate: The equation of the tangent lineto the graph of the function f(x)=x2 at the point is (10,100) with the use of graphing calculator and check whether the answers matches with that of Exercise 18 (b).
1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative
maximum and minimum values of f.
(a) f(x) = x² - 2x²+3
(b) f(x) = (x+1)5-5x-2
(c) f(x) =
x2
x-9
2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f.
(a) f(x) = x - 2x²+3
(b) g(x) = x³- x
(c) f(x)=x-6x3 + x-8
3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test.
(a) f(x)=1+3x² - 2x3
(b) g(x) = 2x3 + 3x² - 12x-4
Find the
Soultion to the following dy
differential equation using Fourier in
transforms:
=
, хуо, ухо
according to the terms:
lim u(x,y) = 0
x18
lim 4x (x,y) = 0
x14
2
u (x, 0) =
=\u(o,y) =
-y
لو
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