Refer to the figure in which ? and ? .

If AB = 16 ft and BC = 6 ft, find BD.


Mathematics

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Use integration by parts to establish a reduction formula for the integral.

A.  = ax(ln ax) n - an 
B.  =  +  
C.  =  -  
D.  = x(ln ax) n - n 

Mathematics

Use the fact that the  to evaluate the expression without using a calculator. ? ? Round the answer to the nearest thousandth, if necessary.

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

Mathematics

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A. function domain: all real numbers range: {y|y ? 9} intercepts: (0, -2), (8, 0), (0, 4) symmetry: none B. function domain: all real numbers range: {y|y ? 9} intercepts: (-2, 0), (0, 8), (4, 0) symmetry: none C. function domain: {x|x ? 9} range: all real numbers intercepts: (-2, 0), (0, 8), (4, 0) symmetry: y-axis D. not a function

Mathematics

Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: A runner's speed in a race and the time that it takes to run the race.

What will be an ideal response?

Mathematics