The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
Step-by-step explanation:
Let
x ----> the number of questions that you answer correctly on this quiz
y ----> the total number of points you score on this quiz
In this problem
The output value or dependent variable is the total number of points you score on this quiz (variable y)
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
we have
This linear equation represent a proportional relationship between the variables x and y
where
k=10
K is the constant of proportionality or slope of the linear equation
Answer: A and D
Step-by-step explanation:
- Career A's spread is more concentrated while Career B's spread is more dispersed or spread out
- Career A's median is 25 and Career B's median is 30
- Therefore A and D are the correct answers
hope this helps :)
Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
12x + 7y=60
12x3=36
60-36=24
7y=24
24/7=3.blah blah blah
y=3 pretty much
but you only needed that first part wow i did all that for nothin
