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wolverine [178]
2 years ago
5

HELP PLA BRAINLIEST ANSWER TO MOST CORRECT!!!

Mathematics
1 answer:
galina1969 [7]2 years ago
5 0

\times \frac{?}{?}
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Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr
prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]

Each subinterval has width \dfrac{2-0}4=\dfrac12. The area of the trapezoid constructed on each subinterval is \dfrac{f(x_i)+f(x_{i+1})}4, i.e. the average of the values of x^2 at both endpoints of the subinterval times 1/2 over each subinterval [x_i,x_{i+1}].

So,

\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4

=\displaystyle\sum_{i=1}^4\frac{\left(\frac{i-1}2\right)^2+\left(\frac i2\right)^2}4=\frac{11}4

4 0
3 years ago
A rectangle has an area of x^2 -6x -7 and a width of x-7 what’s the length
iogann1982 [59]

Answer:

x+1

Step-by-step explanation:

We know that x^2 -6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.

Using this information, we can identify the other number is 1, so the length is x+1.

4 0
3 years ago
Which of the following functions is graphed below
elena-s [515]

Answer:

b

Step-by-step explanation:

bet

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3 years ago
Johanna purchases a book for $14.95. There is a sales tax of 6.5%. How much is the final price with tax? What is the total? What
Nat2105 [25]
Okay so 6.5%  of $14.95 is 0.97175. That rounds to 0.97. And to get the total we just add 0.97 to 14.95. Our answer is 15.92. However if you don't want to round then you would add 14.95 and 0.97175 . This would give you15.92175. Hope this helps!
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3 years ago
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Write each number in scientific notation 1 27.5
babymother [125]
1 = 1 x 10 exponent 0
27.5 = 2.75 x 10 exponent 1
8 0
3 years ago
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