(1; 0 < t < 1 i) Find L[f(t)], Where f(t) = 2; 2 < t < 4 0; t>4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
Related questions
Question
Solve i
![a) Find the Laplace transformation of the function f(t) = cosh at sinh bt
b) Find 2f where f = e2x sin2y.
c) Write the sufficient condition for existence of Laplace transformation of a
function.
d)
Find the Directional derivative of the function f = x² + y² at a point p (1,1) in
the direction ä2î - 4j
e) State Green's theorem in plane.
f)
Find the Laplace transformation of the unit impulse function
8(t-22017) and The unit step function U(t-22017)
g)
Find the Fourier sine series of the function f(x)=-100¹0(-n < x <n);
f(x)= 100¹0(0<x<n)
h)
Find a parametric representation of the Parabolic equation
z = 9(x² + y²)
i)
j)
(1; 0 < t < 1
Find L[f(t)]. Where f(t) = 2; 2 <t<4
(0;
t> 4
Find the value of L-1
s² +6
[(s²+1)(s+4)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671ab11d-fa46-43ee-989f-b591e8453e57%2Fcf9dceb3-ec1a-4c5b-823e-995321b9a872%2F85vf275_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Find the Laplace transformation of the function f(t) = cosh at sinh bt
b) Find 2f where f = e2x sin2y.
c) Write the sufficient condition for existence of Laplace transformation of a
function.
d)
Find the Directional derivative of the function f = x² + y² at a point p (1,1) in
the direction ä2î - 4j
e) State Green's theorem in plane.
f)
Find the Laplace transformation of the unit impulse function
8(t-22017) and The unit step function U(t-22017)
g)
Find the Fourier sine series of the function f(x)=-100¹0(-n < x <n);
f(x)= 100¹0(0<x<n)
h)
Find a parametric representation of the Parabolic equation
z = 9(x² + y²)
i)
j)
(1; 0 < t < 1
Find L[f(t)]. Where f(t) = 2; 2 <t<4
(0;
t> 4
Find the value of L-1
s² +6
[(s²+1)(s+4)]
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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