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Mnenie [13.5K]
3 years ago
14

Calculate limits x>-infinity -2x^5-3x+1

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Given:

The limit problem is:

\lim_{x\to -\infty}(-2x^5-3x+1)

To find:

The value of the given limit problem.

Solution:

We have,

\lim_{x\to -\infty}(-2x^5-3x+1)

In the function -2x^5-3x+1, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

\lim_{x\to -\infty}(-2x^5-3x+1)=\infty

Therefore, \lim_{x\to -\infty}(-2x^5-3x+1)=\infty.

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Determine the points are collinear (1,2) (2,3) and (-2,-11)
Eduardwww [97]

Given:

The three points are (1,2), (2,3) and (-2,-11).

To find:

Whether the given points are collinear.

Solution:

Let as consider the three points are A(1,2), B(2,3) and C(-2,-11).

If these three points are collinear, then area of \Delta ABC must be 0.

Area of \Delta ABC,

Area=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

Area=\dfrac{1}{2}|1(3-(-11))+2(-11-2)+(-2)(2-3)|

Area=\dfrac{1}{2}|(3+11)+2(-13)-2(-1)|

Area=\dfrac{1}{2}|14-26+2|

Area=\dfrac{1}{2}|-10|

Area=\dfrac{1}{2}(10)

Area=5\neq 0

Therefore, the given points are not collinear.

6 0
3 years ago
Can ya help me with the answer plz ?
Alexandra [31]

Answer:

1 1/4

Step-by-step explanation:

8 0
3 years ago
What is the solution to the following equation?<br> x2 + 3x + 4 = 0
Sidana [21]

Answer:

No real solutions

Step-by-step explanation:

Using the quadratic formula, you will end up with a square root of a negative number in the numerator. Hence there is no real solution.

see attached.

4 0
4 years ago
Which measure is of an angle that is conterminal with a 95 degree angle
timofeeve [1]

Answer: Choice B

95 - 1080n for any integer n

=================================================

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

8 0
4 years ago
Which is the graph of f(x)=3√x
mote1985 [20]

Answer: The first graph

Step-by-step explanation:

It's the first one. I don't know how to explain, haha.

4 0
2 years ago
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