Answer:
Approximation f(25.3)=5.03 (real value=5.0299)
The approximation can be written as f(x)=0.1x+2.5
Step-by-step explanation:
We have to approximate 
with a linear function.
To approximate a function, we can use the Taylor series.
The point a should be a point where the value of f(a) is known or easy to calculate.
In this case, the appropiate value for a is a=25.
Then we calculate the Taylor series with a number of terms needed to make a linear estimation.
The value of f'(a) needs the first derivate:
Then
We evaluate for x=25.3
If we rearrange the approximation to be in the form mx+b we have:
Then, m=0.1 and b=2.5.
F I think so and thank you
Blue because you have to travel three 1/4 marks.Green because you have to travel 6 1/8 marks
Slope-intercept form is y = mx + b, so to turn that equation into slope-intercept you'll need to get y alone
4x - 8y = 8 --- subtract 4x
-8y = 8 - 4x --- divide by -8
y = -1 + (1/2)x --- reorder to match "mx + b"
y = (1/2)x - 1
in y = mx + b, "m" is the slope and "b" is the y-intercept. so for part B, your slope is (1/2) and your y-intercept is (-1). take the sign with you.
for part C, you'll need to know point-slope form: (y - y1) = m(x - x1)
you'll also need to be aware that "perpendicular" lines have a slope that is the opposite reciprocal of the original line.
the original slope is (1/2). change the sign to negative and form a reciprocal: your new slope is -2. plug that into your point-slope form
(y - y1) = m(x - x1)
(y - y1) = (-2)(x - x1)
and lastly, plug in your given point: (1, 2)
y - 2 = (-2)(x - 1)
so, just to look a little neater without all of the work:
A) y = (1/2)x - 1
B) m = (1/2), b = -1
C) y - 2 = (-2)(x - 1)
Answer:
your answer is (-1,8)
Step-by-step explanation:
Graph the equation and check all of the coordinates \_O_/
