Please answer all the following questions, thank you :) the the
x in second question is x'' and x'
Please answer all the following questions, thank you :) the the x in second question is...
Hi! Please help me with question #1. Thank you so much! 1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...
carefully 1. Carefully sketch the indifference curves corresponding to the utility functions and the utility levels given below (a) u1 2 and ug 8. (b) ulxi,x) x u8 and ug 512. (c) 2 ules,)InIns u1 0.6931 and ug 2.0794. 4 1. Carefully sketch the indifference curves corresponding to the utility functions and the utility levels given below. (a) u(x1,x2) xx u1 2 and u2 = 8. (b) u(x1,x2) x1x; u1 8 and u2 =512. (c) 2 u(x1,x2)=Inx1 +Inx2; u1 0.6931...
Please answer all 3 questions! Thank you! 1). Calculate the control block flow diagram. Fi Ti CT ST 2). Calculate the Laplace equivalent of the following equations: where T is the output variable, A and B are constants and u, uz, and us are the deviations variables for the input temperature (Ti), input flow (Fi) and input heat flow (Q), respectively. where T is the output variable, A, B, and C are constants and u,, U2, and uj are the...
1. Second order linear boundary value problems: Discuss the solution process for a linear boundary value problem of the form u" (x) + g(x)u, (x) + h (x)u(x) = f(x), -u,(a) + u (a) = α, u,(b) + u(b) = β a. a < x < b where a, b E R with a < b, g(x), h(x) and f(x) are given functions, and α, β E R b. The funconsux) and u2(x) solve the differential equation u"(x) +g(x)u'(x) +...
point) Consider a function f(x) that has a Taylor Series centred at x = 5 given by ſan(x – 5)" n=0 he radius of convergence for this Taylor series is R= 4, then what can we say about the radius of convergence of the Power Series an ( 5)"? nons A. R= 20 B.R= 8 C. R=4 D. R= E. R= 2 F. It is impossible to know what R is given this information. point) Consider the function f(x) =...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Find the Fourier transform of f(t) = 14 -1sts1 lo otherwise (8 Marks) b) Use the solution of Q3 (a) to find the Fourier transform of f(t) 54 1sts3 to otherwise (4 Marks) c) Use the solution from Q3(a) and the appropriate theorem to find the Fourier transform of the following function; g(t) = eitf(t) (4 Marks) d) Find the convolution, f*g, of the...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t...
Need help with this question. Please include step by step solution. Thank you. (c) The following table tabulates the (r, y) coordinates of terminal points on the unit circle, 2 = 1, determined by arc lengths t measured anti-clockwise around the unit circle starting at (1,0). Terminal point (x,y) (1,0 0 V23 (2 3)/2+v3 T 12 2 2 V3 1 6 2 2 TT 4 2 2 1 T 2 2 V32 2+ V3 5T (2 12 2 2 (0,...
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the following is the Taylor Series for f(x) centred at x = 0? w A. (-1)" (2n – 1)(2n)! -x2n- +C. n=0 (-1)"(2n – 2) 2n–3. B. (2n)! n=1 c. Σ (-1)" (2n + 1)! -x2n-2 n=1 D. Š (-1)" -X2n-1 (2n – 1)(2n)! n=1