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4 years ago

PLS HELP FAST

Mathematics

2 answers:

STALIN [3.7K]4 years ago

8 0

Answer:

a) -2/1

b) 5/2

c) 8/5

Step-by-step explanation:

Ugo [173]4 years ago

8 0

Answer:

Step-by-step explanation:

$a)-2=\frac{-2}{1}\\\\b)2.5=\frac{25}{10}=\frac{5}{2}\\\\c)1\frac{3}{5}=\frac{8}{5}$

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3 years ago

Integrate xe^(-x^2).

Gekata [30.6K]

You can easily integrate it using a simple substitution:

$\large\begin{array}{l} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle\int\!\left(-\frac{1}{2}\right)\cdot (-2)x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!\,e^{-x^2}\cdot (-2x)\,dx\qquad\quad(i)}\\\\ \end{array}$

$\large\begin{array}{l} \textsf{Let}\\\\ \mathsf{-x^2=u,}\quad\textsf{then}\quad\mathsf{-2x\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!e^u\,du}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^u+C}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^{-2x}+C}\\\\\\ \boxed{\begin{array}{c} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx=-\,\frac{1}{2}\,e^{-x^2}+C} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159730

$\large\textsf{I hope it helps. :-)}$

Tags: integrate substitution indefinite integral exponential composite calculus

7 0

4 years ago

PLEASE HURRY!!!!!

Brums [2.3K]

Answer:

Step-by-step explanation: i am doing same thing you are doing rn

6 0

3 years ago

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olganol [36]

Answer:

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Step-by-step explanation:

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3 years ago

1. 6 cm 6 cm Find the surface area of the cube. Surface Area = [?] cm² 6 cm

Mariulka [41]

Answer:

The surface area of the cube is equal to 216 cm².

General Formulas and Concepts:
Geometry

Surface Area Formula [Cube]:
$\displaystyle \text{SA} = 6a^2$

a is a side length

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 6 cm

Step 2: Find Surface Area

[Surface Area Formula - Cube] Substitute in a:
$\displaystyle \text{SA} = 6(6 \ \text{cm})^2$
Evaluate:
$\displaystyle \text{SA} = \boxed{216 \ \text{cm}^2}$

∴ we have found the surface area of the cube to be 216 cm².

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Topic: Geometry

4 0

3 years ago

Read 2 more answers