Answer:
Step-by-step explanation:
1
3
3(x² + 1)
2
6
6(3y² - 1)
3
m²
m²(n² + 3)
4
6
6(x³ + 6)
5
6
6(x³ + 3x² + 4)
6
5
5(a³ + 5a² - 7a + 4)
7
8
8(2m³ + 3m² + 2)
8
5
5(5x²y + 3xy² + 6)
9
16x
16x(2x^4 + 4x³ + 1)
10
7xy
7xy(3x²y - x + 6)
11
-a^4
-a^4(3a² + 4a + 1)
12
4xy
4xy(x - 4xy + 5y)
13
6y
6y(-4x² + x²y + 5y)
14
2
2(9a² - 18a²b² + 22b²)
15
-3xy
-3xy(5x²y + 15xy + 11y)
16
4ab
4ab(ab^6 - 8ab^5 + 4b)
17
17xy
17xy(x - 2)
18
n
n(3m² - 39m²n - 13n)
19
5t
5t(-8t + ts + 20s²)
20
p
p(6p³q + qr - 3r)
487 divided by equals 60.825 because 8 can't go into 4 but it can go into 48 6 times so then you can't do 8 divided by 7 so you have to add a zero and a decimal so that's how you get 60.825
Answer:
a.) f'(x) = 2x - 2
b.) horizontal tangent line at (1, 0)
c.) view image
d.) the point given, (-1, -1/2), isn't even located on the graph of f(x). Either there is a typo or the question is poorly stated.
Step-by-step explanation:
a.) You should know how to do derivative already
b.) Horizontal tangent line just mean that the slope is zero. Since a derivative is a slope, just find when the derivative is equal to 0.
c.) The function f(x) looks like a U. The only spot that has a zero slope is at the bottom of the U when the slope changes from negative to positive. Since my horizontal tangent line(where the slope is 0) is located at point (1,0), that must be where the bottom of the graph is,
d.) Poorly stated question. The point given isn't even located on the graph.
Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
Your answer would be 18 because 1 1/2 x 4 =6. So 6 =12 is 18
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