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Reil [10]
3 years ago
11

The map shows the distance in air miles from City A to both City B and City C.

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0
I think it’s 114 I’m not sure sorry if I’m wrong dong count on my answer tho honesty is the best policy :)
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Calculus<br> The following curve passes through (3,1)<br> Using linear lineralization
Novay_Z [31]

Answer:

Option 1.1

Step-by-step explanation:

The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula

F(x) \approx F(x_0) + F'(x_0)(x-x_0)

The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables

2x^2y+y=2x+13

Differentiating with respect to x, we have

4xy+2x^2y'+y'=2

Computing y' in the given point (3,1) we have

4(3)(1)+2(9)y'+y'=2

y'=\frac{2-12}{19}

y'=-\frac{10}{19}

The function will be approximated with the expression

F(x) = 1 -\frac{10}{19}(x-3)

To find the approximate value for x=2.8

F(2.8) = 1-\frac{10}{19}(-0.2)=1.1

The correct value is the option 1.1

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