Find the relative extrema, if any, of Use the Second Derivative Test, if possible.

a. relative minimum: none, relative maximum: f(ln3) = ?7ln7
b. relative minimum: f(ln7) = 4 ? 7ln7, relative maximum: none
c. relative minimum: f(ln3) = ?7ln7, relative maximum: none
d. relative minimum: none, relative maximum: f(ln7) = 4 ? 7ln7


b. relative minimum: f(ln7) = 4 ? 7ln7, relative maximum: none

Mathematics

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True or false?The interquartile range of a data set, Q3 - Q1, is less sensitive to outliers (extreme values) than the range.

A. True B. False

Mathematics

Solve the system of equations by determinants.   3x + z = -7  w + x + 3y - z = 243w + y + 3z = 11  w + x + 4y = 25

A. w = 18, x = -3, y = 20, z = -12 B. w = 6, x = -1, y = 20, z = -4 C. w = 6, x = -1, y= 5, z = -4 D. w = 6, x = -3, y = 10, z = -8

Mathematics

Solve the problem.A cylinder with height 12 m and radius 2 m is filled with water and must be emptied through an outlet pipe 3 m above the top of the cylinder. Compute the work required to empty the water in the top half of the tank. Then compute the work required to empty the (equal amount of) water in the lower half of the tank. Round to two decimal places when appropriate.

A. 13,300,246.6 J; 8,866,831.1 J B. 4,433,415.55 J; 4,433,415.55 J C. 4,433,415.55 J; 8,866,831.1 J D. 8,866,831.1 J; 4,433,415.55 J

Mathematics

Solve the equations by factoring.30b2 + 43b + 13 = -2

A. - , -  
B. - , -  
C.
D.  

Mathematics