Verify that the given equation is an identity.cosh(x - y) = cosh x cosh y - sinh x sinh y

What will be an ideal response?


cosh x cosh y - sinh x sinh y =  ?  -  ? 
  - 
  
  
 = cosh(x - y)

Mathematics

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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A.   local maximim
B.   local minimum;    local minimum
C.   saddle point; 
D.   saddle point

Mathematics

Solve the problem.The table shows the population of a certain city in various different years. Use regression to find values for a and b so that f(x) = axb models this data, where x represents the number of years since 1980 and f(x) is the population of the city in hundreds of thousands. Round your answers to 5 significant digits.

A. a ? 1.8506, b ? 0.51209 B. a ? 2.6352, b ? 0.47558 C. a ? 2.1375, b ? 0.44316 D. a ? 1.7025, b ? 0.53750

Mathematics

Write the algebraic expression without parentheses.-(-3 + 4y)

A. -3 + 4y B. 12y C. 3 - 4y D. 3 + 4y

Mathematics

Solve the problem.A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of 9 ft. How far does the skater go in tracing the figure eight?(Use 3.14 for ? .)

A. 28.26 ft B. 113.04 ft C. 26.26 ft D. 56.52 ft

Mathematics