Tree Growth An evergreen nursery usually sells a certain type of shrub after 6 years of growth and shaping. The growth rate during those 6 years is approximated by d h / d t = 1.5 t + 5 , where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted ( t = 0 ) . (a) Find the height after t years. (b) How tall are the shrubs when they are sold?
Tree Growth An evergreen nursery usually sells a certain type of shrub after 6 years of growth and shaping. The growth rate during those 6 years is approximated by d h / d t = 1.5 t + 5 , where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted ( t = 0 ) . (a) Find the height after t years. (b) How tall are the shrubs when they are sold?
Solution Summary: The author calculates the height of a shrub whose growth rate is 1.5t+5 after 6 years of growth and shaping.
Tree Growth An evergreen nursery usually sells a certain type of shrub after 6 years of growth and shaping. The growth rate during those 6 years is approximated by
d
h
/
d
t
=
1.5
t
+
5
, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted
(
t
=
0
)
.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
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