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MissTica
1 year ago
10

For which value of a does Limit of g(x) as x approaches alpha not exist?​

Mathematics
1 answer:
Hunter-Best [27]1 year ago
7 0

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

<h3>Limit of a function</h3>

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

Learn more on limit of a function here: brainly.com/question/23935467

#SPJ1

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Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).
m_a_m_a [10]
<h2>Part 1.</h2>

Answer: \boxed{f'(x)=3x^2-8x}

The limit of the difference quotient is simply the derivative, so we can express this as follows:

f'(x)=\underset{\Delta x\rightarrow0}{lim}\frac{\triangle y}{\Delta x}=\frac{f(x+\Delta x)-f(x)}{\Delta x}

So our function is:

f(x)=x^3-4x^2+2

Taking the derivative, we have:

f'(x)=3x^2-8x

So the correct option is:

\boxed{f'(x)=3x^2-8x}

<h2>Part 2.</h2>

Answer: \boxed{y=3x-16}

The equation of the line that passes through the same point can be found as:

y-y_{0}=m(x-x_{0})

Where x_{0}=3, so we need to find y_{0}. Plug in that x-value in the function we have:

y_{0}=f(3)=(3)^3-4(3)^2+2 \\ \\ y_{0}=-7 \\ \\ \\ So \ the \ point \ is: \\ \\ P(x_{0},y_{0})=(3,-7)

And the slope is:

m=f'(3)=3(3)^2-8(3) \\ \\ m=3

Then, the equation of the line is:

y-(-7)=3(x-3) \\ \\ \therefore y+7=3x-9 \\ \\ \boxed{y=3x-16}

<h2 /><h2>Part 3.</h2>

Answer: Shown below

As you can see below, the graph of the function of f is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point P(3,-7), so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of f

3 0
2 years ago
If x varies directly with y and x=-19 when y=14 what is x when y=2
tatyana61 [14]

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

<h3>How to determine the value of x?</h3>

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

Read more about direct variation at:

brainly.com/question/6499629

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2 years ago
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frosja888 [35]

3\cdot b\cdot b\cdot b\cdot b\cdot b\cdot c\cdot c\cdot c\cdot c\cdot c =3b^5c^5

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Answer:

va= 35 km/hr vb=25 km/hr

watch explanation

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Kazeer [188]

Answer:

84

Step-by-step explanation:

0.5 · 7 · 24

0.5 · 168

84

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