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2 years ago

5

Write the limit as a definite integral on the interval [a, b], where ci is any point in the ith subinterval. limit interval lim

||δ|| → 0 n 5 ci4 i = 1 δxi [5, 9]

1 answer:

tankabanditka [31]2 years ago

7 0

Seems like it would be

$\displaystyle\int_5^9x^4\,\mathrm dx$

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At a construction site, a builder plans to cut down an 8-foot-by-9-foot piece of plywood. She plans to discard any pieces that s

AnnZ [28]

Answer:

12 i think

Step-by-step explanation:

6 0

2 years ago

Angela has the following coins in her pocket:

GaryK [48]

Answer:

There are 10 different combinations

The list of different combinations is:

(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

Explanation:

The possible combinations are:

1. Assuming the first coin is 10p:

(10p, 1p)
(10p, 50p)
(10p, 2p)
(10p, 20p)

2. Asuming the first coin is 1p

Do not count (1p, 10p) as it is the same combination as (10p, 1p)

(1p, 50p)
(1p, 2p)
(1p, 20p)

3. Assuming the first coin is 50p:

Do not count (50p, 10p) nor (50p, 1p) as they are the same combinations (10p, 50p) and (1p, 50p) counted earlier:

(50p, 2p)
(50p, 20p)

4. Assuming the first coin is 2p:

The only new combination is:

(2p, 20p)

5. All the combinations with 20p have already been listed.

Therefore:

There are 4 + 3 + 2 + 1 = 10 different combinations

The list of different combinations is:

(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

7 0

2 years ago

According to Euclid’s second postulate, how far can the line segment shown be extended in either direction?

Vilka [71]

Answer:

b. not at all

Step-by-step explanation:

• a line goes on forevee in every direction

• a ray continues forever in one direction only

• a segment has a set length and will not extend

8 0

2 years ago

Read 2 more answers

Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da

lukranit [14]

To find the mean you must add up all the numbers you have together and then divide the buy the amount of numbers you added. When you add these numbers up you get 30, and we have 5 numbers here, when we divide 30 by 5 we get 6. So, Tara is correct in saying that the mean is 6.

5 0

2 years ago

Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor

Maslowich

Answer:

(a) $\int sin(\pi x) dx$ $=-\frac {cos \pi x}{\pi}+c$

(b) $\int e^\frac{x}{2} dx$ $=2e^\frac{x}{2}+c$

Step-by-step explanation:

(a)

$\int sin(\pi x) dx$

Let u = π x

differentiating with respect to x

du = π dx

$\Rightarrow dx=\frac{du}{\pi}$

Putting the value of x and dx

$=\int sin u \frac{du}{\pi}$

$=\frac{-cos u}{\pi}+c$ [ c is an arbitrary constant]

Now putting the value of u

$=-\frac {cos \pi x}{\pi}+c$

(b)

$\int e^\frac{x}{2} dx$

Let $u=\frac{x}{2}$

differentiating with respect to x

$du= \frac{1}{2} dx$

2du = dx

Putting the value of x and dx

= $\int e^u.2.du$

= $2e^u +c$

Now putting the value of u

$=2e^\frac{x}{2}+c$ [ c is an arbitrary constant]

3 0

2 years ago