Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point.Parallel to y = -
x - 8, through (-4, -2)
A. y = 4x - 14
B. y = 4x + 14
C. y = - x - 3
D. y = - x + 3
Answer: C
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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 5yi + cos 7xj; C is the rectangle with vertices at (0, 0), ,
, and
A. - ?
B. 0
C. ?
D. - ?
Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = -
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.
A. PV = +
; PT = -
+
B. PV = +
; PT =
-
C. PV = -
; PT =
+
D. PV = -
; PT =
+
Write the sentence as an inequality in two variables. Then graph the inequality.The y-variable is at least 5 more than the product of 2 and the x-variable.
A. y < 2x + 5
B. y > 2x + 5
C. y ? 2x + 5
D. y ? 2x + 5
Use a graph to find an approximate solution to the equation. Round to the nearest thousandth.4x + 6 = 7x
A. 16.803 B. 14.863 C. -14.863 D. 12.923