Write the equation in terms of a rotated x'y'-system using ?, the angle of rotation. Write the equation involving x' and y' in standard form.5x2 - 6xy + 5y2 - 8 = 0; ? = 45°

A.  + 2y'2 = 1
B.  + y'2 = 1
C. x'2 + 4y'2 = 1
D.  +  = 1


Answer: B

Mathematics

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Evaluate the work done between point 1 and point 2 for the conservative field F.F = 3 sin 3x cos 6y cos 9zi + 6 cos 3x sin 6y cos 9zj + 9 cos 3x cos 6y sin 9zk ; P1(0, 0, 0) , P2

A. W = -2 B. W = 0 C. W = 2 D. W = 1

Mathematics

Provide an appropriate response.The fee a bank charges for maintaining a checking account is referred to as a(n):

A. service charge B. returned check charge C. ATM charge D. NSF charge

Mathematics

Find the numbers at which f is continuous. At which numbers is f discontinuous?f(x) = 3x - 5

A. continuous for all real numbers
B. continuous for all real numbers except x = 
C. continuous for all real numbers except x = - 
D. continuous for all real numbers except x = 5

Mathematics

Solve.x2 = -100

A. ±10 B. 100i C. ±10i D. -10

Mathematics