Answer:
The answer is
Step-by-step explanation:
Remember that Taylor says that
For this case
Answer:
x<25
Step-by-step explanation:
Let's solve your inequality step-by-step.
2.4x−9<1.8x+6
Step 1: Subtract 1.8x from both sides.
2.4x−9−1.8x<1.8x+6−1.8x
0.6x−9<6
Step 2: Add 9 to both sides.
0.6x−9+9<6+9
0.6x<15
Step 3: Divide both sides by 0.6
0.6x/0.6 < 15/0.6
x<25
Answer:
8 + 32v
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
