Given:
The fractions are:
To find:
The each fraction as the sum of a whole number and a fraction less than 1.
Solution:
The given fraction is .
Therefore, the given fraction can be written as .
The given fraction is .
Therefore, the given fraction can be written as .
The given fraction is .
Therefore, the given fraction can be written as .
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Answer:
gradient=change in y/change in x
=y2-y1/x2-x1
=-8-(-16)/-10-(-8)
=8/-2
=-4
Answer:
Geometric
Step-by-step explanation:
14.94 cm ( to 2 dec. places )
We require the sum totals of the 2 groups before calculating the mean of all 14
using mean =
Children's sum
12.6 = ( cross-multiply )
sum = 6 × 12.6 = 75.6
Adult's sum
16.7 = ( cross- multiply )
sum = 8 × 16.7 = 133.6
Total sum of all 14 = 75.6 + 133.6 = 209.2
mean = = 14.94 cm