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3 years ago

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Mathematics

2 answers:

vfiekz [6]3 years ago

5 0

Answer:

cube

Step-by-step explanation:

Karolina [17]3 years ago

4 0

Hey there!

The net would create a cube.

Hope it helps and have a great day!

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180 clockwise around point (0,1)

sweet-ann [11.9K]

I think it is (0,-1)

3 0

2 years ago

Read 2 more answers

How can the commutative property be used to write multiplication sentences

miss Akunina [59]

Using the commutative property means that you could do 5x4=20 and flip it around so it’s 4X5 the answer would still be 20 but in a different order

4 0

3 years ago

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

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

Whitepunk [10]

Answer:

0.32 decay

Step-by-step explanation:

3 0

2 years ago

18 ÷ -3 - -12 x -1 x -11 (the x is times, please solve)

Elena L [17]

126
Explanation
18/-3-(-12)•(-1)•(-11)
divide 18 by -3 and change signs on the 12
(-6)+12•(-1)•(-11)
multiply 12 and -1
(-6)+(-12)•(-11) then multiply -11 and -12
-6+132
126

5 0

2 years ago

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