<span>D: a line passing through the points (2, –6) and (4, –16)</span>
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:
D FOR SURE
Step-by-step explanation:
Answer:
The solution is obtained by adding the two equations.
The solution is: (x, y) = (
,
)
Step-by-step explanation:
We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.
The two equations are:


Adding both the equations, we get:



Substituting the value of 'x', we get the value of y.
We substitute in (2). [Can be substituted in any equation].
We get: y = 2x - 1



So, we get the corresponding values of x and y which is the solution of the two equations.