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Zielflug [23.3K]
3 years ago
6

Determine whether the statement is true or false, and explain why.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

False

Step-by-step explanation:

In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.

It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:

\int\limits_0^1 x^2/x^3+1 \, dx = 1/3 * \int\limits_1^2 du/u = (ln(2) - ln(1) )/3

(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)

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a garden plot is to contain 240 sq. ft. if its length is to be 3 times its width,what should its dimensions be?
SOVA2 [1]
240 ft^2 = L X W
240 = 3W x W
240 = 3W^2
W = 8.94427 ft
L = 3W = 3(8.94427)
L = 26.8328 FT
8 0
3 years ago
Find the value of x in the triangle shown below.<br> a. x=80<br> b. x=48<br> c. x= 32<br> d. x=12
yulyashka [42]

THEOREM:

• <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

x² = 4² + 8²

x² = 16 + 64

x² = 80

x = √80 units.

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8 0
2 years ago
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torisob [31]
So... 4 folks, working for 8hours per day, do it in 15days

hmm alrite...so 4 folks working for 8hrs in 1 day, each one does 8, 4 of them, 4*8 = 32, so, they do 32 workhours every day, now for 15 days, that'd be 32*15, or 480

so, the whole job really takes 480 hours

now hmm let's see, the firm decides to increase the folks, but decrease the hours, so, 5 folks each working 6hours every day

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how long will it take them if they only do 30 workhours everyday?

well the whole job is 480hours

\bf \cfrac{30hrs}{day}=480hrs\implies \cfrac{30hrs}{480hrs}=day\implies \cfrac{1}{16}=day&#10;\\\\\\&#10;\textit{so, if they do }\frac{1}{16}\textit{ daily, to complete, they'd need }\frac{16}{16}\\&#10;\\\\\&#10;\textit{for the whole, thus }16 days
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Xavier

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6 0
3 years ago
Find ST. Help me solve please and thank you
slava [35]

Answer: ST is equal to 12

Step-by-step explanation:

If RU  is equal to 24 as a whole  and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.

6 + 6 +x  = 24   where x is the length of ST

12 + x = 24  

-12         -12

x = 12    

6 0
3 years ago
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