1. Find all local maximum point, local minimum point, and the inflection the curve y =x* -8x +6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Q1: Choose ( one) of the following questions (12 degrees)
1. Find all local maximum point, local minimum point, and the inflection point on
the curve y = x* -8x? +6
4 dx
2. Evaluate 4+ x²)?
by trigonometric substitution integration method?
Q2: Choose the correct answer of the following questions (12 degrees)
d
1.
sec (5x)
dx
1
1
1
1
a)
/25x² – 1
b)
5xV25x -1
с)
xV5x² -1
d)
5xv5x -1
|2. fx3* dx
1
b)-
4 In 3
1
c)
4 In 3
1
d)
4 In x
a) - 32x* In 3+c
4
32x
32x
32x +c
+c
+c
d
3.
-log , (3x +2)
dx
бх
6x
6x
а)
(3x? + 2) · In 4
b)
(3x² +2)
с)
(3x? +2) · In x
бх-In 4
d)
(3x +2)
| 4.5,
e2x
dx
1+e4*
a) 2 tanhe2x* +c
1
b)- tane2x +c
c)2 tane2x
1
d) - tanhe2
+c
Transcribed Image Text:Q1: Choose ( one) of the following questions (12 degrees) 1. Find all local maximum point, local minimum point, and the inflection point on the curve y = x* -8x? +6 4 dx 2. Evaluate 4+ x²)? by trigonometric substitution integration method? Q2: Choose the correct answer of the following questions (12 degrees) d 1. sec (5x) dx 1 1 1 1 a) /25x² – 1 b) 5xV25x -1 с) xV5x² -1 d) 5xv5x -1 |2. fx3* dx 1 b)- 4 In 3 1 c) 4 In 3 1 d) 4 In x a) - 32x* In 3+c 4 32x 32x 32x +c +c +c d 3. -log , (3x +2) dx бх 6x 6x а) (3x? + 2) · In 4 b) (3x² +2) с) (3x? +2) · In x бх-In 4 d) (3x +2) | 4.5, e2x dx 1+e4* a) 2 tanhe2x* +c 1 b)- tane2x +c c)2 tane2x 1 d) - tanhe2 +c
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