Use the graph of the relation to identify the domain and range.y = |x + 4|

A. domain: (-?, ?)
range: (-?, ?)
B. domain: (-?, ?)
range: [-4, ?)
C. domain: [-4, ?)
range: (-?, ?)
D. domain: (-?, ?)
range: [0, ?)


Answer: D

Mathematics

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Find all the second partial derivatives.f(x, y) = cos xy2

A.  = -y4 cos xy2 = -2x[2xy2 cos(xy2) + sin(xy2)];  =  = -2y[xy2 cos(xy2) + sin(xy2)]
B.  = - y2 sin xy2 = 2y;   =  = 2
C.  = - y2 sin xy2 = 2[ sin (xy2) - 2y2 cos (xy2)];   =  = 2y [sin (xy2) - y2 cos (xy2)]
D.  = y2 sin xy2 = 2[2y2 cos (xy2) - sin (xy2)];   =  = 2y[y2 cos (xy2) - sin (xy2)]

Mathematics

Solve the problem. Round to the nearest cent.Find the deposit required to accumulate $4000 after investing 6 years in an account that pays an APR of 4% compounded semiannually. How much is earned in interest?

A. $3153.97; $846.03 B. $5072.97; $1072.97 C. $3161.26; $838.74 D. $0.97; $3999.03

Mathematics

The following question refers to a country with six states. There are 300 seats in the legislature and the percent of the population in each state is given in the table below. Find each state's apportionment under Hamilton's method.

A. A: 44; B: 160; C: 16; D: 49; E: 19; F: 12 B. A: 43; B: 160; C: 16; D: 50; E: 19; F: 12 C. A: 43; B: 162; C: 16; D: 50; E: 18; F: 11 D. A: 43; B: 161; C: 16; D: 49; E: 19; F: 12 E. none of these

Mathematics

Approximate the area of the triangle to the nearest tenth.

A. 2737.2 B. 1355.8 C. 1357.6 D. 2757.6

Mathematics