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
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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 + . . .
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
src="https://sciemce.com/media/4/ppg__as0611191936__f1q328g5.jpg" alt="" style="vertical-align: -8.0px;" /> What will be an ideal response?
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
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. - °