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3 years ago

What is the meaning of perimeter and area? (Don’t copy from the internet)

Mathematics

2 answers:

Illusion [34]3 years ago

8 0

Answer:

Perimeter is the distance around the shape. Area is the space inside the shape

zmey [24]3 years ago

6 0

Answer:

Perimeter: Sum of all the sides of a shape

Area: Product of the main sides of a shape

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Use integration by parts to find the integrals in Exercise. ∫^3_0 3-x/3e^x dx.

Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral $\int _0^3\:3-\frac{x}{3e^x}dx$ . We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx$

We will use Integration by parts formula to solve our given problem.

$\int\ vdv=uv-\int\ vdu$

Let $u=x$ and $v'=\frac{1}{e^x}$ .

Now, we need to find du and v using these values as shown below:

$\frac{du}{dx}=\frac{d}{dx}(x)$

$\frac{du}{dx}=1$

$du=1dx$

$du=dx$

$v'=\frac{1}{e^x}$

$v=-\frac{1}{e^x}$

Substituting our given values in integration by parts formula, we will get:

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)$

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

Compute the boundaries:

$3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638$

$3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}$

$9.06638-\frac{1}{3}=8.733046$

Therefore, the value of the given integral would be 8.733046.

6 0

3 years ago

Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12

olasank [31]

Answer:

x^2(x-4) + 3(x-4)

(x^2 + 3)(x-4)

Step-by-step explanation:

8 0

3 years ago

Simplify the expression: 10q–3q+2q2+3

saw5 [17]

If the 2q is raised to the second power the answer is 2q^2+7q+3

4 0

3 years ago

Read 2 more answers

A farmer in Gervais is raising zebras and elephant. Last week, she bought 15 bags of feed. Zebra feed costs $35 a bag and elepha

morpeh [17]

Answer:

do 15 x35

Step-by-step explanation:

3 0

2 years ago

Jordan built a scale model of a space shuttle at a scale of 1 to 200. If the actual space shuttle is 54 meters long, how long

KATRIN_1 [288]

540 (100 centimeters = 1 meter, so 54 x 100 = 540.)

4 0

1 year ago