Solve the problem.The volume V of a square-based pyramid with base sides s and height h is 
If the height is half of the length of a base side, express the volume V as a function of s.
What will be an ideal response?
V(s) = 
s3
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You want a linearization that will replace the function over an interval that includes the point x0. To make your subsequent work as simple as possible, you want to center the linearization not at x0 but at a nearby integer x = a at which the function and its derivative are easy to evaluate. What linearization do you use?f(x) = 
, x0 = 4.2
A. 
+ 
x
B. 
+ 
x
C. 
+ 
x
D. 
+ 
x
Simplify.
A. 
B. 
C. 
D. 
Find all of the real and imaginary roots, stating the multiplicity of each.(x2 + 12x + 27)2 = 0
A. 9 with multiplicity 2
3 with multiplicity 2
B. -
with multiplicity 4
C. 
with multiplicity 2
-
with multiplicity 2
D. -3 with multiplicity 2
-9 with multiplicity 2
Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of this function.f(x) = 3x + 2
A. Horizontal asymptote: y = 2; Domain: (-?, ?), Range: (2, ?) B. Horizontal asymptote: y = 0; Domain: (-?, ?), Range: (0, ?) C. Horizontal asymptote: y = 2; Domain: (-?, ?), Range: (- 2, ?) D. Horizontal asymptote: y = - 2; Domain: (-?, ?), Range: (- 2, ?)