Solve the problem.Let M =  and N = . Show that  where R is the region bounded by the unit circle C centered at the origin. Why is Green's Theorem failing in this case?

What will be an ideal response?


Answers will vary. Notice that M and N are not defined at (0, 0), which is contained inside the region R.

Mathematics

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Solve. As the temperature of a light bulb's filament increases from T1 to T2, the energy that the filament radiates increases by the expression  Simplify the expression.

A. kT24 - kT14 B. kT14 - kT24 C. kT24 + kT14 D. kT24 + 2kT1T2 + kT14

Mathematics

Completely factor the expression. ? ?

A.
B.
C.
D.
E.

Mathematics

Solve the inequality, then graph the solution.4a < 12

A. (-?, 3]

B. (-?, 3)
  

C. (3, ?)

D. [3, ?)

Mathematics

Provide an appropriate response.If f(x) = x2 - 3x + 4, then f (2 + h) - f(2) =

A. h. B. h2 - 3h - 4. C. h2 + h - 4. D. h2 - 3h + 4. E. h2 + h.

Mathematics