Graph. State the domain, range, and vertical asymptote of the function.f(x) = ln(x + 3)
A. Domain: (-3, ?), range: (-?, ?)
Vertical asymptote: x = -3
B. Domain: (3, ?), range: (-?, ?)
Vertical asymptote: x = 3
C. Domain: (3, ?), range: (-3, ?)
Vertical asymptote: x = 3
D. Domain: (-3, ?), range: (-3, ?)
Vertical asymptote: x = -3
Answer: A
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Find the unit tangent vector of the given curve.r(t) = (4 - 2t)i + (2t - 9)j + (10 + t)k
A. T(t) = 
i - 
j - 
k
B. T(t) = - 
i + 
j + 
k
C. T(t) = 
i - 
j - 
k
D. T(t) = - 
i + 
j + 
k
Solve the problem.The energy E (in J) dissipated by a certain resistor after t seconds is given by 
At what time is the energy dissipated the greatest?
A. 10 sec B. 12 sec C. 9 sec D. 11 sec
Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = e5x/2
A. y = eu; u = 5x/2; 
= 
xe5x/2
B. y = eu; u = 5x/2; 
= 
e5x/2
C. y = eu; u = 5x/2; 
= 
xe5x/2
D. y = eu; u = 5x/2; 
= 
e5x/2
Find the standard form of the equation of the ellipse satisfying the given conditions.Center at (0, 0); Focus at (0, -2); Vertex at (0, 6)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1