How much is 10 mm converted to inches

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

10mm to inches would be about 0.39 of an inch. If you want to be extremely exact, then it's 0.393701 of an inch.

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What value does f(x,y) = (x + 2y)/(x -2y) approach as (x,y) approaches (0,0) along the x-axis?

WARRIOR [948]

Answer:

B. f(x,y) has no limit and does not approach infinity or minus infinity as (x,y) approaches (0,0) along the x-axis.

Step-by-step explanation:

Given the function

f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0) f(x,y) = lim (x,mx) → (0, 0) f(x, mx)

⇒ lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

y = x²

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

y = x³

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that f(x,y) has no limit since the limits obtained are different.

4 0

3 years ago

For the table below, determine the function rule, and find each of the missing y-values.

anygoal [31]

The answer is 8 and 13


y = ax + b
y = 4, x = 1 ⇒ 4 = a + b
y = 6, x = 3 ⇒ 6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
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b = 4 - a
3a + b = 6
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2a + 4 = 6
2a = 6 - 4
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b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13

x y
1 4
3 6
4 7
5 8
7 10
10 13

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Answer: