AS FAL: 1.0x1/5 + 1.0x1/5 + 1.0x1/5 + 1.0x1/5 + 1.0x1/5 = 20% + 20% + 20% + 20% + 20% 6 Original Response Unfiltered Response The temperature at any point (x, y, z) in space is T = x y z4. Find the highest temperature on the surface 3 x2 + 4 y2 + z2 = 6. Enter the exact value of your answer in the box below. 你的作答 無解答 正確答案 8/3*3^(1/2) 9:0/1.0 Warning: If your answer involves a...
Problem 1.11 Find the gradients of the following functions: (a) f(x, y, z) x2 + y3 + z4. (b) f(x, y,-x23-4 (c) f(x, y, z) e* sin(y) In(z).
suppose a point in three-dimensional Cartesian space. (X, Y, Z), is equally likely to fall anywhere on the surface of the hemisphere defined by X2 + Y2-22-1 and Z20. (a) Find the PDF of Z, /zz) (b) Find the joint PDF of X and Y, /x. ylx, y). suppose a point in three-dimensional Cartesian space. (X, Y, Z), is equally likely to fall anywhere on the surface of the hemisphere defined by X2 + Y2-22-1 and Z20. (a) Find the...
Using the windows32 framework, write a program toevaluate the value of the following real valued function. Make sure to printthe output using a message box.f(x; y; z) = x4 + y3 + z + (x + y)4zNote: Your program should read x, y and z from the keyboard.
5. Evaluate /// (y +z) dV where E is bounded by x = 0, y = 0, x2 + y2 + z2 = 1, and x2 + y2 + 2?" = 9. Use spherical coordinates. Answer must be exact values.
Suppose a point in three-dimensional Cartesian space, (X, Y, Z) , is equally likely to fall anywhere on the surface of the hemisphere defined by X2+y2+2 -1 and Z20. (a) Find the PDF of Z. zz) (b) Find the joint PDF of X and Y. JK.ужд) Suppose a point in three-dimensional Cartesian space, (X, Y, Z) , is equally likely to fall anywhere on the surface of the hemisphere defined by X2+y2+2 -1 and Z20. (a) Find the PDF of...
zi+yj + zk 3. Given the vector field in space F(x, y, z) or more conveniently, (x2 + y2 + 22)3/2 f where r = ci + yj + zk and r= |||| = V2 + y2 + z2 (instead of p) 1 F(r) = r2 (a) [10 pts] Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral lle F.NDS where S is the unit sphere x2 + y2 + z2 = 1...
Could you do number 4 please. Thanks 1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. f(xyz) = 4x, where S is the cylinder X + z2-25, 0 ys2 The value of the surface integral is (Type exact answers, using T as needed.) Find the area of the following surface using the given explicit description of the surface. The cone z2 = (x2 +y2) , for Oszs8 Set up the surface integral for the given function over the given surface S as a...
xi+ yj + zk 3. Given the vector field in space F(x, y, z) = or more conveniently, (.x2 + y2 + 22)3/2 1 Fr) where r = xi + yj + zk and r= ||1|| = x2 + y2 + x2 (instead of p) 73 r (a) [10 pts) Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral [/F F.Nds where S is the unit sphere 22 + y2 + z2 1...