a) Rore toct D is a Sordan Region nine the avca ofD -d),Frave-that-the function -Kx내는 kde ntgade on a) Rore toct D is a Sordan Region nine the avca ofD -d),Frave-that-the function -Kx내는...
6. [251 Suppose D is a region in R', f a function on D and φ a function on aD. Prove that Robin problem Ou has at most one solution if k>0.
6. [251 Suppose D is a region in R', f a function on D and φ a function on aD. Prove that Robin problem Ou has at most one solution if k>0.
Find the absolute minimum and maximum values of the function on
the given region D. Be sure to sketch D.
f(x, y) = x+y-xy, D is the closed triangular region with vertices (0,0), (0,2), and (4,0). Hint: for this region, you have three lines, two are similar to the square problem and the hypothenuse is a line y = mx + b. So f(x,y) = f(x, mx + b) along that path.
1 Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ. ญา D is the triangular region with vertices (0, 0), (2, 1), (0, 3); function 2- Use polar coordinates to combine the sum 3- Find the volume of the solid that lies between the paraboloid zxy2 and the sphere x2 + y2+ z22.
1 Find the mass and center of mass of the lamina that occupies the...
(d) Sketch the image under the function f(z) Logz of the region (s : 비 > 1,0 etch the image under the function f(2)Log 2 of the region Arg: ST/2)
(d) Sketch the image under the function f(z) Logz of the region (s : 비 > 1,0 etch the image under the function f(2)Log 2 of the region Arg: ST/2)
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant = 10 pF/m. b) The electric volume charge density at any point in the region: p, = V D= divergence ofD e) The total charge enclosed by the specified region: Q= fpdv, dv element of volume d) Find Vx D and show that D is irrotational. In the cylindrical region: 0srs2m, 0s0s7/2 0szslm, the potential field V is given by V=50 2 sin volts
3...
- d.) Zind a function w = f(2) that maps Do onto the w-plane region, De Zwecios Arglw) = 5 Do = {ZEC:lzle 3,7 3
7. For fixed x', the Gaussian kernel function f(x ) = - is the solution to Fourier's heat equation f(x|t) = 3072f(x|t), XER, 1 > 0, with initial condition f(x|0) = (x - x') (the Dirac function at x'). Show this. As a con- sequence, the Gaussian KDE is the solution to the same heat equation, but now with initial condition f(x0) = n-' - (x – x;). This was the motivation for the theta KDE [14], which is a...
Calculate the arithmetic
average of the function on the D region and write its simplest
form
y 4 - ezty fonksiyonunun D= {(x, y) € R²|0<I<1,0<y<1-x} bölgesi üzerindeki aritmetik ortalamasını hesaplayıp en sade halde yazınız.
Question 6 Region Region A Region B Region Region D The electric potential varies with distance according to the graph shown above. Answer questions 6, 7, and 8 based on the graph. In which region does the electric field point in the negative x-direction? Question 7 In which region is the electric field not uniform? Region D Region B Region C Region A Region E
questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it is necessary 2pts) -am b) Set up an integral to compute the area of the shaded region (do not evaluate the integral yet) 4pts
questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it...