Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to two decimal places.log(2/3)19

Fill in the blank(s) with the appropriate word(s).


-7.26

Mathematics

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Find the flux of the curl of field F through the shell S.F = (7 - y)i + (4 + x)j + z2k; S is the upper hemisphere of x2 + y2 + z2 = 49

A. 98? B. -4? C. 2? D. 196?

Mathematics

Evaluate the integral.

A.  tan-1   + C
B.  tan-1 4x  + C
C. 4 tan-1   + C
D.  tan-1 (x + 4)  + C

Mathematics

Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 9 m down from the top of the dome the ceiling is 25 m wide, find the best location for the light source.

A. 17.4 m down from the top B. 8.6 m down from the top C. 4.3 m down from the top D. 12.9 m down from the top

Mathematics

Convert 33 km/hr to miles/hr.

What will be an ideal response?

Mathematics