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FromTheMoon [43]
3 years ago
7

Which of the following is an infinite series?

Mathematics
1 answer:
Brut [27]3 years ago
4 0
<h3>Answer: Choice C)  2 - 6 + 18 - 54 + ...</h3>

Explanation:

The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.

Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
Using place value how to increase 2384598 by six million
Leno4ka [110]
6 million = 6,000,000

2,384,598 + 6,000,000 = 8,384,598

your answer is 8,384,598

hope this helps
3 0
3 years ago
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
MatroZZZ [7]
Answer:
The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
6 0
2 years ago
Add or subtract <br> 4-2 3/7
sergeinik [125]

Answer:

subtract

Step-by-step explanation:

6 0
2 years ago
3 What is the y-intercept of the line with the equation Y = 1/2 - x - 3?
PSYCHO15rus [73]

Answer:

<h2>a. -3</h2>

Step-by-step explanation:

Given Equation :

y =  \frac{1}{2} x - 3

Which is in slope intercept form :

y = mx + b

Where :

m = slope

b = y-intercept.

Thus , in the given Equation , the y-intercept is -3

8 0
3 years ago
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