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FromTheMoon [43]

3 years ago

7

Which of the following is an infinite series?

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