Answer:
25.12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer:
Let X be the number.
Twice the number would be 2x
The difference between the two, would be subtraction, so you would subtract 4 from 2x
The equation becomes 2x-4 = 16
Now solve for x:
2x-4 = 16
Add 4 to each side:
2x = 20
Divide both sides by 2:
x = 20/2
x = 10
The number is 10.
AB + C
= (x + 1)(x^2 + 2x - 1) + 2x
= x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x
= x^3 + 3x^2 + 3x - 1
Answer:
Rate = $2.08
Step-by-step explanation:
Area × rate = cost
rate = cost / area
= 14/6.52
= $2.08
