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Rasek [7]
2 years ago
5

Y'all I can't see none of the answers so if you answered some of my questions can you message them to me please I really need th

em
SAT
1 answer:
Elanso [62]2 years ago
4 0

Answer:

ok

Explanation:

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37 cos(x2) dx 0 Do the following. (a) Find the approximations T8 and M8 for the given integral. (Round your answer to six decima
dusya [7]

The approximations T8 and M8 for the given integral are:

  • T8 = 33.386321; and
  • M8 = 33.50794

<h3>What is an integral?</h3>

An Integral is a variable of which a given function is the derivative, i.e. it gives that function when differentiated and may express the area under the curve of the function's graph.

<h3>What is the explanation to above answer?</h3>

Given:

F(x) = 37 cox (x²)

Internal = [0,1] n = 8 in Δ x = 1/8

The sub intervals are:

[0, 1/8], [1/8, 2/8], [2/8, 3/8], [ 3/8, 4/8], [ 4/8, 5/8], [ 5/8, 6/8], [6/8, 7/8], [ 7/8, 1]

The mid points are given as:

1/16, 3/16, 5/16, 7/16, 9/16, 11/16, 13/16, 15/16

and X₀ = 0, X₁ = 1/8, X₂ = 2/8

Using the Trapezium Rule which states that:

\int\limits^1_0 cos(x)^{2} } \, dx = Δx/2 [f(xo) + 2f(x1) 2f(x2) + ....+ 2f(x7) + f(x8)]

= 1/1Q[f(0) + 2f (1/8) + 2f(2/8) + ....+ 2f(7/8) + f(1)]

= 0.902333

Now

T8 = \int\limits^1_0 {37Cos(x)^{2} } \, dx

= 37\int\limits^1_0 {(0.902333)} } \, dx

= 37 (0.902333)

T8 = 33.386321

It is to be noted that the midpoints rule is given as;

\int\limits^1_0 {Cos(x)^{2} } \, dx  = Δx [f(1/16) + (3/16) + .... + f(15/16)]

= 1/8[f(1/16) + f (3/16) + f(5/16) + f(7/16) + f(9/16) + f(11/16) + f(13/16) + f(15/16)]

= 0.905620

From the above,

M8 = \int\limits^1_0 {37 Cos(x)^{2} } \, dx

= 37\int\limits^1_0 {Cos(x)^{2} } \, dx

= 37 (0.905620)

M8 = 33.50794

Learn more about integral at;
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6 0
2 years ago
The probability that event b will occur, given that event a has occurred, is called its ____ probability.
Anna007 [38]

Answer:

mutually exclussive event

4 0
2 years ago
Read the quotation from Lincoln Steffens’s The Shame of the Cities. "My purpose was...the see if the shameful facts, spread out
hram777 [196]

The best description of  Steffens' purpose in writing about government is:

  • <u>B. to describe corruption in city and state governments</u>

<u />

According to the quotation from Lincoln Steffen's The Shame of the Cities, we are told that the author feels that the shamelessness of the American people would cause the downfall of the "American pride".

As a result of this, the most likely purpose of writing this is to show the level of corruption which is prevalent in the city and state governments to spur the citizens to revolt against the corruption.

Therefore, the correct answer is option B

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5 0
2 years ago
Can someone help me please
zloy xaker [14]
It would make sense to buy it in pounds because there are 454 grams in a pound and if your serving 500 people with a cupcake that holds 20 grams than that would take 10,000 grams so u would need about 23 pounds of sugar to make 500 cupcake <span />
7 0
3 years ago
Course 3 chapter 5 triangles and the pythagorean theorem
Galina-37 [17]

The pythagorean theorem is used to calculate the lengths of a right triangle

The hypotenuse of the triangle is 6.5 cm

<h3>How to determine the hypotenuse of the triangle?</h3>

From the complete question, we have the following side lengths

  • Opposite = 5.7 cm
  • Adjacent = 3.2 cm

The hypotenuse of the triangle is then calculated as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

This gives

Hypotenuse^2 = 3.2^2 + 5.7^2

Evaluate the sum

Hypotenuse^2 = 42.73

Take the square root of both sides

Hypotenuse = 6.5

Hence, the hypotenuse of the triangle is 6.5 cm

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5 0
2 years ago
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