Find the mass of the surface S having the given mass density. S is part of the plane x + 7y + 3z = 21 in the first octant; the density at a point P on S is equal to the square of the distance between P and the xy-plane.

What will be an ideal response?


Mathematics

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Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).f(x, y) = 

What will be an ideal response?

Mathematics

Provide an appropriate response.Use the FOIL method to show that (7x + 14)(x - 5) is 7x2 - 21x - 70. If you were asked to completely factor 7x2 - 21x - 70, why would it be incorrect to give (7x + 14)(x - 5) as your answer?

What will be an ideal response?

Mathematics

Convert 1.75 radians to degrees

What will be an ideal response?

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R = 
B. f(x): D = , R = ;
f-1(x): D = , R = 
C. f(x): D = , R = ;
f-1(x): D = , R = 
D. f(x): D = , R = ;
f-1(x): D is all real numbers, R = 

Mathematics