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2 years ago

Can someone help me with this problem? -20v2 + 12v2

Mathematics

2 answers:

liubo4ka [24]2 years ago

8 0

-8v2 is the answer …….

baherus [9]2 years ago

6 0

Answer:

-8v2

Step-by-step explanation:

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Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago

A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle

Oksanka [162]

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

Length of each side is 26.3 cm

3 0

3 years ago

What are all shapes a all right angle rectangle can be

Gelneren [198K]

Answer:square, triangle, rectangle

Step-by-step explanation:

4 0

3 years ago

Need help. and original answer

siniylev [52]

The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)

<h3 /><h3>What are inequalities?</h3>

Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >

For instance a < b is a form of inequality.

<h3>What is a number line?</h3>

A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

7 0

1 year ago

I don’t understand how this question

Vladimir79 [104]

Answer:

x = √51

Step-by-step explanation:

The given figure is a right triangle.

Using the Pythagorean Theorem to find x

(Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
(7)² + x² = (10)²
49 + x² = 100
x² = 51
x = √51

4 0

1 year ago