Find the linearization L(x) of the given function for the given value of a.f(x) = x + 
, a = 4
A. L(x) = 
x + 
B. L(x) = 
x + 
C. L(x) = 
x + 
D. L(x) = 
x + 
Answer: B
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Solve the initial value problem, if possible.
= t5y + 6, y(0) = e6
A. y = et6 + 6 B. y = et6 + 6 C. y = 6et5 + 6 D. Not separable
Classify the system as independent, inconsistent, or dependent.x + y = 2x + y = 5
A. Dependent B. Inconsistent C. Independent
Use transformations to explain how the graph of the given function can be obtained from the graph of the appropriate root function (y = 
or y =
).f(x) = 
+ 2
A. Rewrite as 4
+ 2. Shift the graph of y = 
to the right 3 units, stretch vertically by a factor of 4, and shift downward 2 units.
B. Rewrite as 4
+ 2. Shift the graph of y = 
upward 3 units, stretch vertically by a factor of 4, and shift to the left 2 units.
C. Rewrite as 4
+ 2. Shift the graph of y = 
to the left 3 units and stretch vertically by a factor of 4.
D. Rewrite as 4
+ 2. Shift the graph of y = 
to the left 3 units, stretch vertically by a factor of 4, and shift upward 2 units.
Solve the problem.A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow.
A. 4.5 in. B. 5 in. C. 5.5 in. D. 4 in.