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Heat Flux Consider a single heat source located at the origin with temperature
Calculate the heat flux across the surface
Repeat the calculation in part (a) using the parametrization
Where
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Chapter 15 Solutions
Multivariable Calculus (looseleaf)
- Find div F and curl F if F(x, y, z) = xz°i+ 5y*x²j +4z²yk. div F= curl F=arrow_forwardThe temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane x+y+z=1 is T(x, y, z) = (ry + 8z - 4) degrees Celsius. Find the average temperature over the solid. (Answer to 3 decimal places). Average Value of a function using 3 variables Z y Xarrow_forwardThe equation of rectifying, osculating, and normal planes of r(t) = e' i+e cost j+e' sint k, t = 0 rectifying: y+x = -1 osculating: 2x – y – z = 1 normal: x + y+z = 2 rectifying: - y+ z = -1 osculating: 2x – y – z = 1 normal: x +y+ z = 2 rectifying: y+z = -1 osculating: 2x – y - z = -1 normal: x + y + z = 2 rectifying: - y +x = -1 osculating: 2x – y- z = 1 normal: x + y+z = 2arrow_forward
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