3 years ago

Is the function y = -x5 - 5 linear or nonlinear?

Mathematics

1 answer:

8090 [49]3 years ago

4 0

This function is Nonlinear

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Use the definition of continuity and the properties of limits to show that the function f(x)=x sqrtx/(x-6)^2 is continuous at x

qaws [65]

Answer:

The function is continuous at x = 36

Step-by-step explanation:

From the question we are told that

The function is $f(x) = x * \sqrt{ \frac{x}{ (x-6) ^2 } }$

The point at which continuity is tested is x = 1

Now from the definition of continuity ,

At function is continuous at k if only

$\lim_{x \to k}f(x) = f(k)$

$\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]$

$= 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$= 7.2$

Now

$f(36) = 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$f(36) = 7.2$

So the given function is continuous at x = 36

because

$\lim_{x \to 36}f(x) = f(36)$

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3 years ago

Which of the following metric prefixes is largest A centi B deka C kilo D milli

strojnjashka [21]

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Find the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2. A) 5 B) 7 C) 9 D) 11

Studentka2010 [4]

f(x) = x² + 7x + 10

f(0) = (0)² + 7(0) + 10 = 10 ----> (0, 10)

f(2) = (2)² + 7(2) + 10 = 28 -----> (2, 28)

rate of change is slope: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ = $\frac{28-10}{2-0} = \frac{18}{2}$ = 9

Answer: 9

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3 years ago

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Answer

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4. 4

5. 8

Step-by-step explanation:

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Can someone help with this problem 19r+1=20 need help

valkas [14]

Answer:

r = 1

Step-by-step explanation:

We need to isolate r, so first subtract 1 from both sides to get 19r = 19. Divide both sides by 19 to get r = 1

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2 years ago