Answer:
A polynomial is an algebraic expression in two or more variables
A multinomial is an an algebraic expression having two or more unlike terms
Step-by-step explanation:
Answer:
The answer to your problem is B.
Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.
We need to determine the percentage of cacao in hot chocolate.
<u>The percentage of cacao:</u>
The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.
Total grams of hot chocolate = Grams of Milk + Grams of cacao
Total grams of hot chocolate = 480 + 20 = 500 grams.
Thus, the total grams of hot chocolate is 500 grams.
Now, we shall find the percentage of cacao.
The percentage of cacao is given by
Simplifying, the values, we get,
Thus, the percentage of cacao is 4%
First solve the length of side BC, CD, EF and FA
Since BC = CD = sqrt( 10^2 + 10^2)
BC = CD = 14.1421
FA = EF = sqrt(10^2 + 20^2)
= 23.3607
So the perimeter = 10 + 10 + 14.1421 + 14.1421 + 23.3607
= 93
The area is made up be triangle FAE, rectangle ABDE and
triangle BCD
A = 0.5(20)(20) + (10)(20) + 0.5(20)(10)
<span>A = 500 sq units</span>
