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Challeaye Pidblen #1 find st) Sor the 1ime-dependent ternpertue within sphere of unt redus : 2 04r< , t>0 tee...
find laplace transform f(t) = {0, 0 st < 2 t2-1 t2 2 f(t) = {0, 0 st
find laplace transform
f(t) = {0, 0 st < 2 t2-1 t2 2
f(t) = {0, 0 st
(2) 1-2 st 32 sec Given: xi(t) = {0 elsewhere and xz(t) = {o -2 st...
(2) 1-2 st 32 sec Given: xi(t) = {0 elsewhere and xz(t) = {o -2 st 32 sec elsewhere Use Fourier transform pairs/theorems to find the convolution z(t) = x1(t) * x2(t). Express your final answer in the time domain. (25 pts)
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t)...
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
sphere with radius 1 centered at the origin. The sphere is tr Given is a 3 0 0 =10 2 0O 0 0 1 O) What is the first poin...
sphere with radius 1 centered at the origin. The sphere is tr Given is a 3 0 0 =10 2 0O 0 0 1 O) What is the first point of intersection of the ray p(t) 2/ |M with the transformed sphere? Select one: The intersection point is p(to) where to=2-v3 o b.The intersection point is p(to) where to=2-v5x a c. None of the others The intersection point is p(to) where to=2 o. The intersection point is p(to) where to=1...
2. If C is the space curve given by F(t) = (t, t”, t') (0 St...
2. If C is the space curve given by F(t) = (t, t”, t') (0 St < 1) and F(x, y, z) = (1+z, cos(TX), e24), find ScF. dr.
QUESTION 1 Find the Laplace transform of the function f(t) St, 0<t<1 1, t>1 1 e-(s-1)...
QUESTION 1 Find the Laplace transform of the function f(t) St, 0<t<1 1, t>1 1 e-(s-1) ОА. S $2 1 e S $2 1-es S e OD 1 $2 1-es OC $2
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the pa...
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2. Hints: * Complete the square for ×2 + y2 + Z2-42+ (it is a sphere with center (0, 0,) Find the intersection to determine the region of integration
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2....
y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t<2, g(t) t >2...
y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t<2, g(t) t >2
y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t2
5) Suppose that .02t if 0 <t< 2 St = .003t if 2 < t <...
5) Suppose that .02t if 0 <t< 2 St = .003t if 2 < t < 5 where t is in years. If an initial deposit of $150 when t = 0) is made (and no other deposits or withdrawals are made) then find how much is in the account at the end of the 5th year, and also find the equivalent effective annual interest rate for this 5 year period.
Engineering Analysis Q.1. f(t) = {S; if - 4 <t<o if 0 st <4 a) Sketch...
Engineering Analysis
Q.1. f(t) = {S; if - 4 <t<o if 0 st <4 a) Sketch the function for 3 cycles [5 points ] b) Find the Fourier series for the function. [15 points)
find laplace transform
f(t) = {0, 0 st < 2 t2-1 t2 2
f(t) = {0, 0 st
(2) 1-2 st 32 sec Given: xi(t) = {0 elsewhere and xz(t) = {o -2 st 32 sec elsewhere Use Fourier transform pairs/theorems to find the convolution z(t) = x1(t) * x2(t). Express your final answer in the time domain. (25 pts)
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
sphere with radius 1 centered at the origin. The sphere is tr Given is a 3 0 0 =10 2 0O 0 0 1 O) What is the first point of intersection of the ray p(t) 2/ |M with the transformed sphere? Select one: The intersection point is p(to) where to=2-v3 o b.The intersection point is p(to) where to=2-v5x a c. None of the others The intersection point is p(to) where to=2 o. The intersection point is p(to) where to=1...
2. If C is the space curve given by F(t) = (t, t”, t') (0 St < 1) and F(x, y, z) = (1+z, cos(TX), e24), find ScF. dr.
QUESTION 1 Find the Laplace transform of the function f(t) St, 0<t<1 1, t>1 1 e-(s-1) ОА. S $2 1 e S $2 1-es S e OD 1 $2 1-es OC $2
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2. Hints: * Complete the square for ×2 + y2 + Z2-42+ (it is a sphere with center (0, 0,) Find the intersection to determine the region of integration
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2....
y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t<2, g(t) t >2
y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t2
5) Suppose that .02t if 0 <t< 2 St = .003t if 2 < t < 5 where t is in years. If an initial deposit of $150 when t = 0) is made (and no other deposits or withdrawals are made) then find how much is in the account at the end of the 5th year, and also find the equivalent effective annual interest rate for this 5 year period.
Engineering Analysis
Q.1. f(t) = {S; if - 4 <t<o if 0 st <4 a) Sketch the function for 3 cycles [5 points ] b) Find the Fourier series for the function. [15 points)
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