need help problem 2.1 2.2 affine mapping 1 1.2 Let K=[0, 1. The parametrization (or embedding)...
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help problem 5.2 K (as a set) is defined by {(u1, u2)|0 u1,j = 1,2 1.) and u+ u2 The parametrization (or embedding) is given such that 4 E K ER2 0 + 3 -1 -1 1.7 Surface integral 4 Compute det(FTF) 1. Let F= Problem 5. 0 3 A of the surface ö2(K) 2. Compute the area
Help would be greatly appreciated!! 1. Let S be the surface in R3 parametrized by the vector function ru, v)(,-v, v+ 2u) with domain D-{(u, u) : 0 u 1,0 u 2). This surface is a plane segment shaped like a parallelogram, and its boundary aS (with positive orientation) is made up of four line segments. Compute the line integral fos F -dr where F(z, y, z) = 〈エ2018 + y, 2r, r2-Ins). Hint: use Stokes' theorem to transform this...
Problem 1. Let y be the segment [0, 2] C C parametrized by r(t) = tz, te[0,1] C R. Compute the path integral ew dw. Problem 2. Let 7 be the path defined by (O) = ei0, 0 (0,21] Compute the integral sill sin w dw. w
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N) Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N)
JO # 2. Let the linear operator K : C([0, 1]) + C([0, 1]) be defined for each continuous real valued function f on [0, 1] by (Kf)(x) = 1 | tf(t) dt. a. Find a range of values for the parameter 1 for which the operator norm of K is strictly less than 1 with respect to the norm on C([0, 1]) given by Il gl. = sup{lg(t)| :te [0, 1]}. b. Describe an iterative process for solving (generating...
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if 03t<1 2t, if t1 [3] 2.2 Find the inverse Laplace transform of 10e 2 52 - 53 +632 - 25 + 5 (10] 2.3 Find y(4) if y(t) = u(t){t - 2)2 - us(t)/(t - 3) - 2) - us(t)e' (51 2.4 Solve the following initial value problem given by y" + 4y = 28.(t) (0)=1/(0) = 0 181 Question 3: (17 marks) Let...
→ (1 point) Let Vf-6xe-r sin(5y) +1 5e* cos(Sy) j. Find the change inf between (0,0) and (1, n/2) in two ways. (a) First, find the change by computing the line integral c Vf di, where C is a curve connecting (0,0) and (1, π/2) The simplest curve is the line segment joining these points. Parameterize it: with 0 t 1, K) = dt Note that this isn't a very pleasant integral to evaluate by hand (though we could easily...
Please don't use the divergence theorem Very very urgent Ill need a detailed explanation of solving this problem. Let F(z, y, z)--z tan 1 (y2) İ + z3ln(z2 + 9) j + z k. Find the flux of F across the part of the paraboloid a y2 4 that lies above the plane z we need to solve using the formula like integral of fx,y).rx* r_y 3 and is oriented upward. Very very urgent Ill need a detailed explanation of...
1. (25 pts] Let F(x, y, z) = (2xy4 +25)i + (4.x²y3 + 2yz3)j + (5x24 + 3y2 -2)k and let C be the curve given parametrically by r(t) = (3t+1)i + t?j + 5tk for 0 <t<1. Evaluate the line integral [F F. dr