Solve by the substitution method.x + y = 4x + y = 5
A. {(0, 9)}
B. {(x, y)|x + y = 5}
C. ?
D. {(4, 5)}
Answer: C
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Compute the gradient of the function at the given point.f(x, y) = 
, p = (9, 5)
A. 
i - 
j
B. 
i + 
j
C. 
i - 
j
D. 
i + 
j
Solve the equation.4x2 = 24x - 32
A. 2, 4 B. -4, -2 C. 0, 2, 4 D. -4, -2, 0
Determine whether the function is even, odd, or neither. y = sin x + cos x
What will be an ideal response?
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0
A. ? = 63.4°
+ 
= 1
ellipse
center at (
, - 
)
major axis is x'-axis
vertices at (4 + 
, - 
) and (-4 + 
, - 
)
B. ? = 26.6°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
C. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
D. ? = 63.4°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)