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2 years ago

When solving an equation like x3 = 64, why does our solution not include the negative cube root?

Mathematics

2 answers:

mixas84 [53]2 years ago

6 0

It is not included negative cube root because X3 does not equal 64

MAVERICK [17]2 years ago

4 0

So I’m only answering so I can ask you a question

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Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0

2 years ago

Reflection across x=-2

lara31 [8.8K]

Hello,

answer in the jointed picture

6 0

2 years ago

Read 2 more answers

I need help with number 17. I have no idea what I’m doing!

kakasveta [241]

is there anther way you can put the pic i cant see

7 0

3 years ago

giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer

Evgen [1.6K]

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

6 0

2 years ago

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Can someone help me for this question?

Taya2010 [7]

Answer:

2x + 1y =< 300

x + y =>150 units

y <= 2x

Step-by-step explanation:

Let x and y be the numbers of corndogs and shakes that will be sold.

1. The total cost of making these items is given by the sum of:

(x)(RM2) + (y)(RM1)

A total of RM300 is allocated for the cost of these items, so:

2x + 1y =< 300 [Units are RM)

2. Sales are expected to exceed 150 units, in total. This means:

x + y =>150 units

3. Sales for the shakes is less than 2 times that of the corndogs:

y <= 2x

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2 years ago