Using appropriate methods to show that 1. 5x2 + 3x dx x(x + 2)2 1 In |a|+ 6 ln |x + 2|+ (x + C. ++2) 2. 25 dx -1 x² – 25 – 5 sec +C. - 3. Se cos (2) de = (cos (2) + sin (2)) + C. e" cos (x) (cos (x) + sin (x)) + C.
Using appropriate methods to show that 1. 5x2 + 3x dx x(x + 2)2 1 In |a|+ 6 ln |x + 2|+ (x + C. ++2) 2. 25 dx -1 x² – 25 – 5 sec +C. - 3. Se cos (2) de = (cos (2) + sin (2)) + C. e" cos (x) (cos (x) + sin (x)) + C.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
Related questions
Question
![Question Five [7, 6, 7]
Using appropriate methods to show that
1.
5л? + 3х — 2
dx
x(x + 2)2
1
In |x| + 6 ln |x + 2+
1
+ C.
(x + 2)
- -
2.
Va2 – 25
dx
Vx2 – 25 – 5 sec"
+ C.
3.
Jé cos (a) de = (cos (2) + sin (2)) + C.
(cos (x) + sin (x)) + C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f1f8519-5d52-4d3b-b294-7c40fb37c571%2F72425bbc-388f-41c0-ba21-0dc51e691f82%2Fbijtt9c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question Five [7, 6, 7]
Using appropriate methods to show that
1.
5л? + 3х — 2
dx
x(x + 2)2
1
In |x| + 6 ln |x + 2+
1
+ C.
(x + 2)
- -
2.
Va2 – 25
dx
Vx2 – 25 – 5 sec"
+ C.
3.
Jé cos (a) de = (cos (2) + sin (2)) + C.
(cos (x) + sin (x)) + C.
![Question Seven [5, 6, 7]
1. Find a general solution for the Differential Equations
dy
y = x
dx
2. Solve the initial-value problem
cos y + (1+ e") sin y
dy
0, y(0):
dx
4
3. At time t, a certain radioactive material is known to decay at a rate
proportional to the mass, M(t), present. Initially 40 milligrams of the
material is present and after three hours it is observed that the material
has lost 10% of its initial mass. Find:
(a) an expression for the mass of the material at any time t,
(b) the mass of the material after four hours, and
(c) the time at which the material has decayed to one half of its initial
mass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f1f8519-5d52-4d3b-b294-7c40fb37c571%2F72425bbc-388f-41c0-ba21-0dc51e691f82%2F5pucx48_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question Seven [5, 6, 7]
1. Find a general solution for the Differential Equations
dy
y = x
dx
2. Solve the initial-value problem
cos y + (1+ e") sin y
dy
0, y(0):
dx
4
3. At time t, a certain radioactive material is known to decay at a rate
proportional to the mass, M(t), present. Initially 40 milligrams of the
material is present and after three hours it is observed that the material
has lost 10% of its initial mass. Find:
(a) an expression for the mass of the material at any time t,
(b) the mass of the material after four hours, and
(c) the time at which the material has decayed to one half of its initial
mass.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage