Shade the Venn diagram to represent the set.(A' ? B) ? C

A.

B.


C.

D.


Answer: C

Mathematics

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Compute r''(t).r(t) = (cos 5t)i + (3 sin t)j

A. r''(t) = (-25 cos 5t)i + (-3 sin t)j B. r''(t) = (-25 cos 5t)i + (-9 sin t)j C. r''(t) = (-5 cos 5t)i + (3 sin t)j D. r''(t) = (25 cos 5t)i + (-3 sin t)j

Mathematics

Find the standard form of the equation of the parabola and determine the coordinates of the focus.



a.
b.
c.
d.

Mathematics

Solve the problem.Water is discharged from a pipeline at a velocity v given by  where p is the pressure (in psi). If the water pressure is changing at a rate of  find the acceleration (dv/dt) of the water when 

A. 108 ft/s2 B. 59.3 ft/s2 C. 1990 ft/s2 D. 36.2 ft/s2

Mathematics

Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{1, 5, 9, 13, 17, ...}

A.

1,2,3,  4, 5, ..., n, ...
? ? ? 
  1, 5, 9, 13, 17, ..., 3n - 1, ...
B.
1,2,3,  4, 5, ..., n, ...
? ? ? 
  1, 5, 9, 13, 17, ..., 4n + 3, ...
C.
1,2,3,  4, 5, ..., n, ...
? ? ? 
  1, 5, 9, 13, 17, ..., 4n - 3, ...
D.
1,2,3,  4, 5, ..., n, ...
? ? ? 
  1, 5, 9, 13, 17, ..., 3n + 1, ...

Mathematics