Problem 1. Expand f(x) em 1. Expand fo) (1.0 ,-π < x < 0 0, 0<X<T in a sine, cosine Fourier series. write out a few 0, 0<x<π in sine,cosine Fourier series Write out aferw terms of the series
13. Let f(a) = r lnx for > 0. Let Q. be the point of inflection of S. Let Q3 = (Q2) be the minimum of f(x) for r > 0. Let Q = ln(3 + IQ1| + 2 Q2 + 3|Q31). Then T = 5 sinº(1000) satisfies:- (A) O ST < 1. - (B) 1 ST <2.-(C) 2 ST <3. - (D) 3 <T<4. - (E) 4 ST55.
Find the Laplace transform, F(s) of the function f(t) = e-4, t > 0 Preview F(s) = syntax error , s > – 4 Get help: Video Written Example Submit Question 2. Points possible: 2 License Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question
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)
5. Let be the function defined by f(x) = -1 3 1.5 if r <0 if 0<x<2 if 3 < r <5 Find the Lebesgue integral of f over (-10,10).
4-1. Suppose that f(x)-e-x for 0 < x. Determine the fol- lowing probabilities: (c) P(X= 3) (e) P(3 s x) (d) P(X<4)
Question 9 3 pts The Laplace transform of the piecewise continuous function 4, 0<t <3 f(t) is given by t> 3 (2, L{f} = { (1 – 3e-*), s>0. O 2 L{f} (2 - e-st), 8 >0. 2 L{f} = (3 - e-st), s >0. O None of them 1 L{f} (1 – 2e -st), s >0.
please help me,thanks! 3. Let Fo be a field with 9 elements. Consider the set S () e Fo] deg(f()) 18, f( f(1) (2)) (4) 0 and (a) Compute IS. (b) Prove that S is a vector space over F (c) Compute dimF, S Let V be a vector space over F. Prove that X C V is a subspace if and only if v, w E X implies av+wEX for every aEF 3. Let Fo be a field with...
3. For the equation 24 = r, in 0 <<1,0<t<1, (1,0) = sin(x), on 0 SEST (0,1)=0, u(1. t) = 0, on 0 <t<1, (1) Using the separation of variables, find its solution.
dx Determine x= f(t) for (t? +4t) 4x + 4,t> 0; f(1) = 3. dt For (1? + 4t) dx dt = 4x +4, x= f(t) =