If y varies directly as x, find the direct variation equation for the situation.y = 0.7 when x = 1.4
A. y = 2x
B. y = x - 0.7
C. y = 0.7x
D. y = 0.5x
Answer: D
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Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is 
where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.
A. PV = 
+ 
; PT = - 
+ 
B. PV = 
- 
; PT = 
+ 
C. PV = 
+ 
; PT = 
- 
D. PV = 
- 
; PT = 
+ 
Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. v = 4t - 6t3 [v is the velocity]
A. 4 - 6t2 B. 4 - 18t2 C. 4t - 18t2 D. 4t - 18t3
Determine the values of x for which the function is differentiable.y = x2 - 16
A. All real numbers except 16 B. All real numbers except 4 C. All real numbers D. All real numbers except -4 and 4
Suppose that y is directly proportional to x. Use the given information to find the constant of proportionality k. Then use y = kx to find y for the given value of x.y = 39 when x = 6;
Find y given x = 12.
A. k = 6.5; y = 78
B. k = 6.5; y = 90
C. k = 234; y = 
D. k = 6.25; y = 75