Find the average value of the function f(x,y,z) = ye-xy over the rectangular prism 0 < x < 5, 0 < y < 5, 0 < z < 1

The 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) solid. (Answer to 3 decimal places). = (xy + 8z – 10) degrees Celsius. Find the average temperature over the Average Value of a function using 3 variables 1-

Calculate fz(3, 6, 9), where f(x, y, z) = xyz. fz(3, 6, 9) =

An employee at Shoes R Us gets a discount of 18% on all regular priced shoes. What is the proportional constant that can be used to calculate the the sale price (y) of any regular priced pair of shoes (x) that the employee purchases?

Find a parameterization for a line passing through the points (1,1) and (5, 13) O x = t, y = 3t-2 O x = t, y = 3t + 1 O x = 2t, y = t O x = 2t, y = 3t

Find the average value of f(y)=y sqrt(4-5y) on the interval [3,4]

Consider a function f: R? → R°, the derivative of f isa O 3 x 3 matrix O 3 x 2 matrix O 2 x 3 matrix O 2 x 2 matrix O 3 x 5 matrix O 2 x 5 matrix O 5 x 3 matrix O 5 x 2 matrix

Find the equation for the tangent plane and the normal line at the point Po(1,2,1) on the surface 4x² + y² + 2z² = 10. Using a coefficient of 2 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 1 + 8t. X x=☐, y=₁ z=0 (Type expressions using t as the variable.)