Homework Answers
where M=7 322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0...
where M=7
322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
x" dx TC 15. (a) So 1 + x x for 0 < a < 1....
x" dx TC 15. (a) So 1 + x x for 0 < a < 1. sin πα
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)!...
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
Solve the following equations for x if 0° < 0 < 360°. 36. 2 cos 20...
Solve the following equations for x if 0° < 0 < 360°. 36. 2 cos 20 + sin 0 = 1 35. 1 - 4 cos 0 = -2 cos2 37. sin (30 – 45) = -V3 38. cos 30 = -2
Solve the equation 6 sina x = 17 cos x + 11 for x in the...
Solve the equation 6 sina x = 17 cos x + 11 for x in the interval 0 < x < 21. [4A]
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy....
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0
4. (a Let (sin( x cos( ) dr...
Let the Fourier series of f(z) = { 0,6, 2<250, on (-2,2) be 20+ an cos(112/2)...
Let the Fourier series of f(z) = { 0,6, 2<250, on (-2,2) be 20+ an cos(112/2) + bn sin(nm2/2). (a) Find the exact values of the following Fourier coefficients. 20 0 41 (b) Evaluate the Nth partial sum N ap + an cos(ntx/2) + bn sin(n2/2) n=1 for N = 4 and 1=0.2. The Nth partial sum is Number Enter your answer to four decimal places accuracy.
Find the Laplace transform of the given function Solve the integral equation f(t) = { 0...
Find the Laplace transform of the given function
Solve the integral equation
f(t) = { 0 < t < 2 t 22 t y(t) = 4t – 3 y(z)sin(t – z)dz 0
Question 25 25. Solve the trigonometric equation exactly over the interval 0 <3 < 27. cos(«)...
Question 25 25. Solve the trigonometric equation exactly over the interval 0 <3 < 27. cos(«) – sin(x) = 1 O 0, T, 27, 37 O 0, 21, 31 2 O 0, 1, 21 37 O 0, 21, 1 2 2 TT O 0, 1, Previous
Rewrite-2 sin(x) + 1 cos (z) as A sin (z + φ) Preview A- Preview Note:...
Rewrite-2 sin(x) + 1 cos (z) as A sin (z + φ) Preview A- Preview Note: φ should be in the interval-π < φ < π
where M=7
322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
x" dx TC 15. (a) So 1 + x x for 0 < a < 1. sin πα
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
Solve the following equations for x if 0° < 0 < 360°. 36. 2 cos 20 + sin 0 = 1 35. 1 - 4 cos 0 = -2 cos2 37. sin (30 – 45) = -V3 38. cos 30 = -2
Solve the equation 6 sina x = 17 cos x + 11 for x in the interval 0 < x < 21. [4A]
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0
4. (a Let (sin( x cos( ) dr...
Let the Fourier series of f(z) = { 0,6, 2<250, on (-2,2) be 20+ an cos(112/2) + bn sin(nm2/2). (a) Find the exact values of the following Fourier coefficients. 20 0 41 (b) Evaluate the Nth partial sum N ap + an cos(ntx/2) + bn sin(n2/2) n=1 for N = 4 and 1=0.2. The Nth partial sum is Number Enter your answer to four decimal places accuracy.
Find the Laplace transform of the given function
Solve the integral equation
f(t) = { 0 < t < 2 t 22 t y(t) = 4t – 3 y(z)sin(t – z)dz 0
Question 25 25. Solve the trigonometric equation exactly over the interval 0 <3 < 27. cos(«) – sin(x) = 1 O 0, T, 27, 37 O 0, 21, 31 2 O 0, 1, 21 37 O 0, 21, 1 2 2 TT O 0, 1, Previous
Rewrite-2 sin(x) + 1 cos (z) as A sin (z + φ) Preview A- Preview Note: φ should be in the interval-π < φ < π
Most questions answered within 3 hours.
-
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 36 minutes ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 1 hour ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 2 hours ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 2 hours ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 4 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 7 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 7 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 7 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 7 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 7 hours ago -
(14.2) A block of mass m = 10 kg riding on a frictionless
horizontal plane is...
asked 7 hours ago -
Use any search engine to search for articles about Starbucks
partnership with Tata Companies in India...
asked 7 hours ago