Solve the differential equation using the method of variation of parameters.


Mathematics

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Solve the problem.The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 32 cm long plays a B, what is the length of the string that plays a D?

A. 59 cm B. 54 cm C. 48 cm D. 32 cm

Mathematics

For the triangle with sides of lengths a, b, and c, find an expression for the semiperimeter s of the triangle.

What will be an ideal response?

Mathematics

Find the location of the center, vertices, and foci for the hyperbola described by the equation. -  = 1

A. Center: (-3, 4); Vertices: (-10, 4) and (4, 4); Foci:  and 
B. Center: (3, -4); Vertices: (-4, -4) and (10, -4); Foci:  and (
C. Center: (3, -4); Vertices: (-3, -4) and (11, -4); Foci: (4 + , -3) and (-3 + , -3)
D. Center: (3, -4); Vertices: (-4, 4) and (10, 4); Foci: (3 - , 4) and (3 + , 4)

Mathematics

Find an equation for the line with the given properties.The solid line L contains the point (-1, 4) and is perpendicular to the dotted line whose equation is  Give the equation of line L in slope-intercept form.

A. y - 4 = - (x + 1)
B. y = x + 
C. y - 4 = 2(x + 1)
D. y = - x + 

Mathematics