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3 years ago

Which geometric series diverges?

Mathematics

2 answers:

alina1380 [7]3 years ago

6 0

Answer:

If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.

Step-by-step explanation:

kupik [55]3 years ago

5 0

Answer:

is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case

Step-by-step explanation:

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Find length of side X Angle opposite x= 105 degrees Side b= 18cm Side c= 15cm

agasfer [191]

26.2 hope I helped good luck

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2 years ago

Which of the sets of equations represent the two lines graphed?

Oksi-84 [34.3K]

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

$\frac{x}{a} + \frac{y}{b} = 1$

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

$\frac{x}{ - 2} + \frac{y}{2} = 1$

Multiply through by 2

$- x + y = 2$

Solve for y,

$\boxed {y = x + 2}$

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

$\frac{x}{ - 4} + \frac{y}{ - 4} = 1$

Multiply through by -4

$x + y = - 4$

Solve for y

$\boxed {y = - x - 4}$

4 0

3 years ago

An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its

serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment, $V = (x+2)x(x-1) = x^3 + x^2 - 2x$

But, the volume of the compartment must be 8 cubic meters.

⇒ $x^3 + x^2 - 2x = 8$

⇒ $x^3 + x^2 - 2x - 8=0$

⇒ $(x-2)(x^2+3x+4)=0$

If $x-2=0\implies x = 2$ and if $x^2+3x+4=0\implies x = \text{complex number}$

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

$V(x) = x^3 + x^2 - 2x$

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.

8 0

4 years ago

Read 2 more answers

I need the answers to these if you can’t read it it says “You drink 16 Fluid ounces of milk for breakfast every morning”.

Reika [66]

Answer: A. y = 16 x

B. 8 days

Step-by-step explanation:

A) Here, 16 Fluid ounces of milk is used for breakfast every morning.

In one day the consumption of milk = 16 fluid ounces

In x days the consumption of milk = 16 x fluid ounces

Thus, if y be the total milk in ounces that is used in x days,

The required function,

y = 16 x

B) In 1 day, consumption of milk = 16 ounces

⇒ $16\text{ ounces milk } = 1 \text{ day}$

⇒ $8\times 16\text{ ounces milk } = 8\times 1 \text{ day}$

⇒ $128\text{ ounces milk } = 8 \text{ day}$

Since, 128 ounces = 1 gallon

⇒ $1\text{ gallon milk } = 8 \text{ day}$

In 8 days, 1 gallon of milk will consumed.

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3 years ago

0x-7*9 = 0 Solve for x.

Helga [31]

Answer:

Undefined

Step by step explaination:

by order of operations we know that we multiply first;

so, 0x-(7*9)=0

1) Multiply the ones in brackets first:

0x-63=0

2) To make X the subject perform the opposite operation:

0x-64+63=0+63

0x=63

3) Divide 0 on both sides;

0x/0= 63/0

therefore; x is undefined

3 0

2 years ago

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