Evaluate the function for the given value. Round to the nearest thousandth.f(x) = ex; f(3.9)
A. 0.471
B. 49.402
C. 54.598
D. 1.361
Answer: B
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Solve the differential equation subject to the initial conditions. - xy - x = 0; y = 10 when x = 1
A. y = -1 + 11e-x2
B. y = - + 11e-x2
C. y = - +
ex2 - 1
D. y = -1 + 11e(x2 - 1)/2
Insert either < or > to make a true statement.4 ___ -7
A. < B. >
Provide an appropriate response.Solving for which variable in which equation involves the least amount of work?x + 6y = 0x - 6y = 24
A. x in equation 2 B. y in equation 2 C. y in equation 1 D. x in equation 1
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. ? = 36.9° +
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
B. ? = 36.9° +
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
C. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
D. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)