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xeze [42]
3 years ago
12

Let f be a differentiable function such that f(3) = 2.345 and f' (x) = ln (x^2+ 1). What is the value of f (5)?

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Use a linear approximation to f(x) centered at x=3:

f(x)\approx f(3) + f'(3)(x-3)

Then

f(5)\approx2.345+\ln(3^2+1)(5-3)\approx6.95

which makes C the most likely choice.

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Jess takes a board that is 50 inches long and cuts it into two pieces, one of which is 16 inches longer than the other. How long
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Let x = the length of the shorter piece
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vlabodo [156]

The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2 and for line 2x + 3y = 6 will be,\rm y = \frac{-2}{3}x+2

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

\rm 3y= 6-2x \\\\ y=  \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

3 0
2 years ago
Choose an appropriate metric unit for the mass of bowling ball
pentagon [3]

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

6 0
2 years ago
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