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pychu [463]
2 years ago
5

Select all the correct answers.

Mathematics
1 answer:
zavuch27 [327]2 years ago
3 0
There aren’t any solutions
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express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

#SPJ4

8 0
1 year ago
Explain what happens when you round 4.999 to the nearest tenth
Allushta [10]
Tenth place is the first place after the decimal which is 4.999
^
The answer is 4.9
4 0
3 years ago
Read 2 more answers
A square based prism and a cylinder both have
Anna11 [10]

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

Parameter of base

Computation:

Volume of cylinder = Volume of Prism

3768 = (L)(B)(H)

3768 = (L)(B)(12)

(L)(B) = 314

L = B

So.

L = 17.72 inch

B = 17.72 inch

Parameter of base = 2[l+b]

Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

8 0
2 years ago
Solve: m + 2/3 = 1/2
harina [27]
Yeah the answer is -1/6
4 0
3 years ago
Read 2 more answers
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli
solniwko [45]

Answer:

Step 4

part a: no answer yet still having trouble showing my work

part b:

-0.125(x-24)^2+50

-0.125(x-24)(x-24)+50

-0.125(x^2-24x-24x+576)+50

-0.125(x^2-48x+576)+50

-0.125x^2+6x-75+50

-0.125x^2+6x-22

a=-0.125

b=6

c=-22

part c: yes he went through

part d:

plug in roots (4,0) and (44,0)

if x is 4 and y is 0

0=-0.125(4)^2+6(4)-22

0=-2+24-22

0=-2+2

0=0

if x=44 and y=0

0=-0.125(44)^2+6(44)-22

0=-242+264-22

0=-242+242

0=0

5 0
3 years ago
Read 2 more answers
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