Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.Three-fourths of a number is . Find the number in lowest terms.

A. x = 
B. x = 
C.  + x = 
D. x =  ; 


Answer: B

Mathematics

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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = x sin 4x

A. 4x2 + x4 + x6 + x8 + . . .
B. 4x2 - x4 + x6 - x8 + . . .
C. 4x - x4 + x6 - x8 + . . .
D. 4x - 8x3 + x5 - x7 + . . .

Mathematics

Provide an appropriate response.We say that a function f(x, y, z) approaches the limit L as (x, y, z) approaches (x0, y0, z0) and write  f(x, y, z) = Lif for every number ? > 0, there exists a corresponding number ? > 0 such that for all  in the domain of f,  Show that the  requirement in this definition is equivalent to 

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Mathematics

For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (3 sin t + 8)i + (3 cos 20t) - 5)j + 12tk; osculating plane at t = 6.5?.

A. (y + 5) +   = 0
B. (y - 5) +   = 0
C. (y + 5) +   = 0
D. (x - 8) +   = 0

Mathematics

Convert the angle from radian measure to degree measure. Round to the nearest hundredth of a degree when appropriate.- 

A. -30°
B. -0.52°
C. -30?°
D. - °

Mathematics