Answer:
A power function is a function that can be represented in the form
where k and p are real numbers, and k is known as the coefficient.
Example:
f(x)=1 constant function.
f(x)=x identity function
f(x)=x^2 quadratic function.
1)
we use the method of differences, g(x+1)-g(x). Keep taking differences until they are all constant.
for example:
if we have a set of values as:
x g(x)
−2 −8
−1 −1
0 0
1 1
2 8
Now when we find the difference as:
<u>x</u> <u>g(x)</u> <u> D1 </u> <u> D2 </u> <u> D3</u>
-2 -8
-1 -1 1-(-8)=7
0 0 0-(-1)=1 1-7=-6
1 1 1-0 = 1 1-1=0 0-(-6)=6
2 8 8-1 = 7 7-1=6 6-0 = 6
As D3 is constant hence, the degree of the power function is 3.
2)
When we get a constant difference in the table of the difference method we will successfully get our degree.
Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
Answer: 1,4 is the answer
Answer:
We have two cases.
Step-by-step explanation:
A proof by Induction consists of two cases, the base case (or basis) and the induction step. Induction is a style of argument we use to convince ourselves and others that a mathematical statement is always true. Many mathematical statements can be proven by simply explaining what they mean.
Hope this helps.
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Answer:
44.588
Step-by-step explanation:
7.1xsquare=14.2x3.14=44.588
