At the given point, find the slope of the curve or the line that is tangent to the curve, as requested.x5y5 = 32, slope at (2, 1)

A. - 
B. 2
C. 16
D. - 


Answer: D

Mathematics

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Solve the rational inequality. Express the solution using interval notation. > 

A. (-?, -21) ? (-1, 4) B. (-21, -1) ? (-1, 4) C. (-21, -1) ? (4, ?) D. (-?, -21) ? (4, ?)

Mathematics

Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.x9 x-7

A. -x2
B.
C. x2
D. - 

Mathematics

Write an equation that expresses the relationship. Use k as the constant of variation.a varies jointly as g and the square of z.

A. a = 
B. a =kgkz2
C. a = kgz2
D. a = 

Mathematics

A trough has vertical ends that are equilateral triangles with sides of length 7 ft. If the trough is filled with water to a depth of 4 ft, find the force exerted by the water on one end of the trough. Round to one decimal place. (The weight density of water is 62.4 lb/ft3.) Select the correct answer.

a. 384.3 lb b. 1,337.7 lb c. 768.6 lb d. 2,675.4 lb

Mathematics