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erastovalidia [21]
3 years ago
10

a book case is to have 4 shelves including the top, the width is to be 13 feet less than 4 times the hieght, find the width and

the height if the carpenter expects to use 20 feet of lumber to make it
Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

I get x = 16/7 ft or about 2.29 ft for the width and 4.29 ft for the height.

Step-by-step explanation:


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f(5)= 78.5. I hope this helps!!

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Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

=\frac{72}{n^2}

According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

that is there exist no error. So n=0.

6 0
3 years ago
One angle is 25° bigger than another angle. the two angles are supplementary. what is the measure of the two angles
Rama09 [41]
1st angle  - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
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x=77.5⁰ -1st angle

77.5+25=102.5⁰ - 2nd angle


3 0
4 years ago
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