25 ft 12 ft ablo boon ino igoond ho ft ong 3 ft 7 ft shulaal v 1. Show that e = tan-1 - tan-1 (S.S-1 Hints: a. Create two right triangles with your eyes at the bottom left angle of each. b. Find expressions for the bottom left angles in terms of x. c. Consider 0 as the difference of two angles within those triangles. oeanil relS ca 11 aon (S.E-) 16 gnint 2. Use the subtraction formula for tangent to show that 25x e = tan-1 %3D x² +264, Hints: a. Starting with the equation from #1, take the tangent of both sides. b. Use the subtraction formula for tangent. c. Simplify and solve for 0.
25 ft 12 ft ablo boon ino igoond ho ft ong 3 ft 7 ft shulaal v 1. Show that e = tan-1 - tan-1 (S.S-1 Hints: a. Create two right triangles with your eyes at the bottom left angle of each. b. Find expressions for the bottom left angles in terms of x. c. Consider 0 as the difference of two angles within those triangles. oeanil relS ca 11 aon (S.E-) 16 gnint 2. Use the subtraction formula for tangent to show that 25x e = tan-1 %3D x² +264, Hints: a. Starting with the equation from #1, take the tangent of both sides. b. Use the subtraction formula for tangent. c. Simplify and solve for 0.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Show that
33
ban apulav
e = tan
-1
tan
n-1
Hints:
a. Create two right triangles with your eyes at the bottom left angle of each.
b. Find expressions for the bottom left angles in terms of x.
c. Consider 0 as the difference of two angles within those triangles.
aanil wrol C
11 on
2. Use the subtraction formula for tangent to show that
25x
(S.E-) 15 gninsta
e = tan-1
x² +264/
Hints:
a. Starting with the equation from #1, take the tangent of both sides.
b. Use the subtraction formula for tangent.
c. Simplify and solve for 0.
3. Use your graphing calculator to graph 0 as a function of x. What value of x maximizes 0? In
which row should you sit? What is the viewing angle (in degrees) in this row?
a. Enter the function in part b into your calculator to graph it (what mode do we use for
graphing?)
b. Adjust the window until you believe you can see the maximum.
c. Go to 2nd > Trace (which is Calc) and choose 4:maximum. Move the cursor so it is on the
left of the max and hit enter, then move the cursor to the right of the max and hit enter
twice. You will see the coordinates of the maximum at the bottom of the screen.
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