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2 years ago

I need help please! Ap calculus

Mathematics

1 answer:

Vika [28.1K]2 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.

Almost any of these numerical integration methods involve some sort of weighted sum. For trapezoidal integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.

The area by trapezoidal integration is about 1.649 square units.

In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.

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3 years ago

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The number 2.2360667… is a __ because it cannot be written as a fraction(ratio)

den301095 [7]

in our number " 2.2360667…" the 3 dots mean that the digits keep going forever, so we conclude that our number belongs to the set of irrational numbers.

<h3>Which type of number is 2.2360667…?</h3>

We will define two types of numbers:

Rational numbers: Are these that can be written as the quotient of two integers.

Irrational numbers: Can't be written as the quotient of two integer numbers, A rational number always has an infinite number of digits after the decimal point, and there is no pattern in these digits.

Now, in our number " 2.2360667…" the 3 dots mean that the digits keep going forever, that is enough to conclude that our number belongs to the set of irrational numbers.

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1 year ago

Urgent. Please show all work

myrzilka [38]

Answer:

$\displaystyle f'(x) = \frac{4}{x^2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Differentiation

Derivatives
Derivative Notation

The definition of a derivative is the slope of the tangent line: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle f(x) = -\frac{4}{x}$

Step 2: Differentiate

[Function] Substitute in x: $\displaystyle f(x + h) = -\frac{4}{x + h}$
Substitute in functions [Definition of a Derivative]: $\displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}$
Simplify: $\displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle f'(x) = \frac{4}{x(x+ 0)}$
Simplify: $\displaystyle f'(x) = \frac{4}{x^2}$

∴ the derivative of the given function will be equal to 4 divided by x².

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Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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2 years ago

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