Express the statement as an equation involving the indicated variables.The surface area S of a sphere is 4 times ? times the square of the radius r.

A. S = 4?r2
B. S = 4? 
C. S = 4?r
D. S = ?r2


Answer: A

Mathematics

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Evaluate the surface integral of the function G over the surface S.G(x, y, z) = x2 + y2 + z2; S is the surface of the cube formed from the coordinate planes and the planes   and 

A.
B.
C. 5
D. 7

Mathematics

Solve by separating the two absolute values into equal and opposite cases. = 

A.
B. all real-number solutions
C.
D. ?

Mathematics

Provide the requested response.Suppose that a polynomial function of degree 5 with rational coefficients has  as zeros. Find the other zero(s).

A. -5 - i B. 5 + i C. -5 + i D. 5, -2, 6, 5 + i

Mathematics

Solve the problem.Suppose f(x) = 33.8 + 1.5log (x + 1) models salinity of ocean water to depths of  at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity (to the nearest hundredth) when the depth is 897 meters.

A. -29.37 g/kg B. 98.32 g/kg C. 38.23 g/kg D. 101.32 g/kg

Mathematics