Consider the following. Function f(x) = arcsec(4x) Point (122) (a) Find an equation of the tangent line to the graph of the function at the given point. Update Graph b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) Student Response Student Response Graph Graph Description ▸ -1 4 13 -1 -2 T. 1 3 O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Consider the following.
Function
f(x)= arcsec(4x)
Point
(a) Find an equation of the tangent line to the graph of the function at the given point.
Update
Graph
(b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. (Select Update Graph to see your response
plotted on the screen. Select the Submit button to grade your response.)
Student Response
Graph
▸
-2
Student Response
Graph Description
4
-1
7
2
Transcribed Image Text:Consider the following. Function f(x)= arcsec(4x) Point (a) Find an equation of the tangent line to the graph of the function at the given point. Update Graph (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) Student Response Graph ▸ -2 Student Response Graph Description 4 -1 7 2
A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 29 feet per second is 30 feet from third base. At what
rate (in ft/sec) is the player's distance from home plate changing? (Round your answer to two decimal places.)
9.17
X ft/sec
+
Transcribed Image Text:A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 29 feet per second is 30 feet from third base. At what rate (in ft/sec) is the player's distance from home plate changing? (Round your answer to two decimal places.) 9.17 X ft/sec +
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