1. FORMULAS TO REMEMBER L(eat f(t)) = F(s-a); c(rt-c)u₂(t)) = ecif(t)); £¹(F(s-a)) = eªt f(t) where f(t) = £¹(F(s)) ¹(e-F(s)) = f(t-c)u(t) where f(t) = ¹ (F(s)) L(f(t)8(t-c)) = f(c)e- f(t) *g(t) = [*f{r}g{t= v)dr = [*g(1)/(1-1) (F(s)G(s)) = f(t)-g(t) f(t-1)dr b) L(8(t-c)) = e-s; L(f(t) g(t)) = F(s)G(s); Find the Laplace of the following functions. a) J(t)=et et cosh(at) K(t)=sinre-+*cos(t-t)dt - İsinr
1. FORMULAS TO REMEMBER L(eat f(t)) = F(s-a); c(rt-c)u₂(t)) = ecif(t)); £¹(F(s-a)) = eªt f(t) where f(t) = £¹(F(s)) ¹(e-F(s)) = f(t-c)u(t) where f(t) = ¹ (F(s)) L(f(t)8(t-c)) = f(c)e- f(t) *g(t) = [*f{r}g{t= v)dr = [*g(1)/(1-1) (F(s)G(s)) = f(t)-g(t) f(t-1)dr b) L(8(t-c)) = e-s; L(f(t) g(t)) = F(s)G(s); Find the Laplace of the following functions. a) J(t)=et et cosh(at) K(t)=sinre-+*cos(t-t)dt - İsinr
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 18A
Related questions
Question
Plz do both parts and take a thumb up Plz do both parts and take a thumb up
![1.
FORMULAS TO REMEMBER
L(eat f(t)) = F(s-a);
c(f(t-c)u(t)) = e "L(f(t));
b)
L-¹(F (s-a)) = eªt f(t) where f(t) = ¹(F(s))
¹(e-F(s)) = f(t-c)u(t) where f(t) = L-¹ (F(s))
L(f(t)8(t-c)) = f(c)e-c
(F(s)G(s)) = f(t).g(t)
L(8(t-c)) = e-s;
L(f(t) g(t)) = F(s)G(s);
f(t) + g(t) = [ f(t)g{t=t}dr = [*g(1)f(t−1)dr
Find the Laplace of the following functions.
a) J(t)=et et cosh(at)
K(t)= sin re-t+cos(t-1)dt
√ sine](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b2b9d69-854a-4c26-a639-4c378ed4e00f%2F4dd53a8c-62c3-4d52-9958-3acf9ade165d%2Fl4d6vsl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
FORMULAS TO REMEMBER
L(eat f(t)) = F(s-a);
c(f(t-c)u(t)) = e "L(f(t));
b)
L-¹(F (s-a)) = eªt f(t) where f(t) = ¹(F(s))
¹(e-F(s)) = f(t-c)u(t) where f(t) = L-¹ (F(s))
L(f(t)8(t-c)) = f(c)e-c
(F(s)G(s)) = f(t).g(t)
L(8(t-c)) = e-s;
L(f(t) g(t)) = F(s)G(s);
f(t) + g(t) = [ f(t)g{t=t}dr = [*g(1)f(t−1)dr
Find the Laplace of the following functions.
a) J(t)=et et cosh(at)
K(t)= sin re-t+cos(t-1)dt
√ sine
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