Find the derivative by definition of the function 2x^3-x^2+4
1 answer:
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Answer:
=−4/7
Step-by-step explanation:
And yh I'm sorry if I got it wrong
Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be .
The sum of the squares of their ages is 97. We can represent this information in an equation as:
Let us solve for x.
Divide both sides by 2:
Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4:
Square of 9: .
Square of mother's age:
To find mother's age, we need to take positive square root of 1681 as:
Therefore, the mother is 41 years old.
Answer:
a)
b)
c) term number 17 is the one that gives a value of 40
Step-by-step explanation:
a)
The sequence seems to be arithmetic, and with common difference d = 3.
Notice that when you add 3 units to the first term (-80, you get :
-8 + 3 = -5
and then -5 + 3 = -2 which is the third term.
Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:
That in our case would give:
b)
Therefore, the term number 20 can be calculated from it:
c) in order to find which term renders 20, we use the general form we found in step a):
so term number 17 is the one that renders a value of 40