Question

5. A company produces cylindrical pop cans with internal base radius r = 5 cm and height h = 15 cm. They wish to reduce r by 0.1 cm. In order to keep the volume of pop the same, we find, using differentials, that h should change by: (a) 0.6; (b) 0.7; (c) 0.8; (d) 0.9; (e) 1. Ans: (a) 6. Let egin{equation} f(x,y) = egin{cases} frac{x^2}{x^2+y^2} & (x,y) eq (0,0) \ c, & (x,y) = (0,0) end{cases} end{equation} for some constant c. For f to be continuous at (0,0), c must equal (a) 0; (b) 1; (c) 2; (d) 3; (e) there is no such value of c. Ans: (e)

          5. A company produces cylindrical pop cans with internal base radius r = 5 cm and height h = 15 cm. They wish to reduce r by 0.1 cm. In order to keep the volume of pop the same, we find, using differentials, that h should change by:
(a) 0.6; (b) 0.7; (c) 0.8; (d) 0.9; (e) 1.
Ans: (a)
6. Let
egin{equation*}
f(x,y) = egin{cases} frac{x^2}{x^2+y^2} & (x,y) 
eq (0,0) \ c, & (x,y) = (0,0) end{cases}
end{equation*}
for some constant c. For f to be continuous at (0,0), c must equal
(a) 0; (b) 1; (c) 2; (d) 3; (e) there is no such value of c.
Ans: (e)

$5. A company produces cylindrical pop cans with internal base radius r = 5 cm and height h = 15 cm. They wish to reduce r by 0.1 cm. In order to keep the volume of pop the same, we find, using differentials, that h should change by: (a) 0.6; (b) 0.7; (c) 0.8; (d) 0.9; (e) 1. Ans: (a) 6. Let eginequation* f(x,y) = egincases fracx^2x^2+y^2 (x,y) eq (0,0) c, (x,y) = (0,0) endcases endequation* for some constant c. For f to be continuous at (0,0), c must equal (a) 0; (b) 1; (c) 2; (d) 3; (e) there is no such value of c. Ans: (e)$

Added by Matthew J.

Question

Please give Ace some feedback