Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:
for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:
This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Step-by-step explanation:
The function is given by
It is an absolute value function which has a v- shaped graph.
The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.
Comparing the given equation with this, we have
h = 12
k = -2
Hence, the vertex would be (12,-2).
Now, the range of the function is the set of y values for which the function is defined.
This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.
Hence, the range would be the all y values greater than or equal to -2.
Hence, the range is given by
Answer:
72 inches because a hexagon has 6 sides so you multiply 6 × 12
Answer:
$24
Step-by-step explanation:
First, find the cost to cover one pair of shoes.
Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch
= 2(LW + LH + HW) × 0.02
L = 14 in.
W = 8 in.
H = 4 in.
Plug in the values
Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02
= 2(112 + 56 + 32) × 0.02
= 2(200) × 0.02
= 400 × 0.02 = 8
Cost to cover one pair of shoes = $8
Cost to cover 3 pairs of shoes = 3*8 = $24
4/5 is the right answer.....
