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PIT_PIT [208]
2 years ago
15

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

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Use linear approximation to estimate f (2.85 )given that f (3 )equals 2 and f prime (3 )equals 5.
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Answer:

Step-by-step explanation:

Given that,

f(3) = 2

f'(3) = 5.

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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

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Given that,

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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

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