x+1 Q: If f(x) = 2x3 -1 and g(x) =, find the following: - a) Show that the functions are inverse functions of each other? b) Verify that the functions of f and g are inverse functions of each other graphically?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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اسئلة الرياضيات. . .
Ministry of Higher Education
univers
Stage: second
an U
Misan university / Science College
Subject: Mathematic
esle
lege of Sclence
Physics Department
Date: 27/9/2020
Time: 3 hours
Final exam of First Semester (2019-2020) / sample (1)
Note: answer all questions, (20) degrees for each question
Q: If f(x) = 2x3 – 1 and g(x) =
Vx+1
find the following: -
a) Show that the functions are inverse functions of each other?
b) Verify that the functions of f and g are inverse functions of each other
graphically?
Q: If In/x² + y2 =sec(),
, use implicit differential to proof the following: -
-x-(x+y?). sec. tan
y-(x²+y²)sec? tan
dy
dx
dy
Q:: Find 2 for the following functions: -
(answer two only)
dx
1) y = (cos x)
2) y = sin x* + elnx
3) y = 7cos/2x+3
Q:: Find the integral for the following functions: -
(answer two only)
sec x. esecx
cos²x
dx
1) S
2) f
Vx2-2x+1
3) ſ cos(lnx) dx
Assit. Ins. Muslim Idan Hamil
Good Luck
Subject Instructor
Transcribed Image Text:اسئلة الرياضيات. . . Ministry of Higher Education univers Stage: second an U Misan university / Science College Subject: Mathematic esle lege of Sclence Physics Department Date: 27/9/2020 Time: 3 hours Final exam of First Semester (2019-2020) / sample (1) Note: answer all questions, (20) degrees for each question Q: If f(x) = 2x3 – 1 and g(x) = Vx+1 find the following: - a) Show that the functions are inverse functions of each other? b) Verify that the functions of f and g are inverse functions of each other graphically? Q: If In/x² + y2 =sec(), , use implicit differential to proof the following: - -x-(x+y?). sec. tan y-(x²+y²)sec? tan dy dx dy Q:: Find 2 for the following functions: - (answer two only) dx 1) y = (cos x) 2) y = sin x* + elnx 3) y = 7cos/2x+3 Q:: Find the integral for the following functions: - (answer two only) sec x. esecx cos²x dx 1) S 2) f Vx2-2x+1 3) ſ cos(lnx) dx Assit. Ins. Muslim Idan Hamil Good Luck Subject Instructor
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