Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 45A
Related questions
Question
17 AND 18 ONLY. RUSH
![Solve the following equations. All fractions are in lowest form.
dr
J, ra(Vr2 – 9) ¯ a
= (bV5 + nc)
1.
dy
a
a
J, 1+ Vy+1
=5+ aln5
2.
x²Vx+ 1dx = 5
3.
x³dx
=
I Vx² – 16
a/x2 – 16 +
|(x² – 16)8 + C
%3D
4.
V25 – x²dx
av25 – x2
|c + v25 – x²
+ C
1
bx²
+In
b.c
5.
1, b
=- In-
ds
sV5= + 144
6.
x² + 8x – 4
-dx = Inx + aln(x – a) – aln(x + a) + C
xa – 4x
7.
1
= -
a
x + 1
x²(x – 1)
+ bln=
8.
4xdx
3
= a + In
J. (x – 1)(x² – 1)
9.
dx
1
== (Inb + nyc)
Jo I+xa
10.
1, b
=- In
x(x² +4) ¯ a"c
dx
11.
2 5x² – 3x + 18
x(9 – x²)
dx = aln b - clnd
12.
2- x
dx = --In(4x² + 4x – 3) +In
2x – 1y
+
4xª + 4x – 3
13.
2x + 3/
x³ +1
x(x + 3)(x + 2)(x – 1)
1. (x + 3)*(x – 1)ª|
dx =- In
a"
+ c
x*(x + 2)*
14.
x-dx
T-a
Jo 79 +x²)=
15.
%3D
1+ Vdx = aNx - in (1 + r=)] + c
1+ Vx=
16.
x² + a
dx = -
(16 + x²)ª
17.
b(16 + x²)= + C
x* dx
=(9x² + 49) - (9x² + 49)* + c
1
V9x: + 49 a
18.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff77c9041-a1a0-4fb1-bfc8-d33d75791e33%2Fd45c4eda-ac62-47eb-b321-56ab22b350ab%2F7d9zxyc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following equations. All fractions are in lowest form.
dr
J, ra(Vr2 – 9) ¯ a
= (bV5 + nc)
1.
dy
a
a
J, 1+ Vy+1
=5+ aln5
2.
x²Vx+ 1dx = 5
3.
x³dx
=
I Vx² – 16
a/x2 – 16 +
|(x² – 16)8 + C
%3D
4.
V25 – x²dx
av25 – x2
|c + v25 – x²
+ C
1
bx²
+In
b.c
5.
1, b
=- In-
ds
sV5= + 144
6.
x² + 8x – 4
-dx = Inx + aln(x – a) – aln(x + a) + C
xa – 4x
7.
1
= -
a
x + 1
x²(x – 1)
+ bln=
8.
4xdx
3
= a + In
J. (x – 1)(x² – 1)
9.
dx
1
== (Inb + nyc)
Jo I+xa
10.
1, b
=- In
x(x² +4) ¯ a"c
dx
11.
2 5x² – 3x + 18
x(9 – x²)
dx = aln b - clnd
12.
2- x
dx = --In(4x² + 4x – 3) +In
2x – 1y
+
4xª + 4x – 3
13.
2x + 3/
x³ +1
x(x + 3)(x + 2)(x – 1)
1. (x + 3)*(x – 1)ª|
dx =- In
a"
+ c
x*(x + 2)*
14.
x-dx
T-a
Jo 79 +x²)=
15.
%3D
1+ Vdx = aNx - in (1 + r=)] + c
1+ Vx=
16.
x² + a
dx = -
(16 + x²)ª
17.
b(16 + x²)= + C
x* dx
=(9x² + 49) - (9x² + 49)* + c
1
V9x: + 49 a
18.
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