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4 years ago

Use a graph of the function to explain the geometric meaning of the value of the integral.

Mathematics

1 answer:

ololo11 [35]4 years ago

4 0

General Idea:

The definite integral of a function f(x) from a to b is given below:

$A=\int\limits^b_a {f(x)} \, dx$

Here geometrically, the value of integral A is the area under the curve f(x) from x = a to x = b

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The area of a square is 100cm what is the perimeter?

anastassius [24]

Answer:

your perimeter will be 40cm

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3 years ago

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An ellipse has a vertex at (1,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in stan

Mamont248 [21]

Answer:

$\frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1$

Step-by-step explanation:

The center of the ellipse at the origin, and (1,0) and (0,4) are the vertex and co-vertex of it.

Therefore, the major and minor axis of the ellipse is X-axis and Y-axis respectively.

And the standard form of the equation of ellipse is $\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } =1$ , where a = half of major axis length and b = half of minor axis length.

So, a = 1 and b = 4.

Therefore, the equation of the given ellipse is $\frac{x^{2} }{1^{2} } +\frac{y^{2} }{4^{2} } =1$

⇒ $\frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1$ (Answer)

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4 years ago

Directions: Six contestants on a reality TV show were stunned to find their lowest scoring colleague was “murdered”. You must fi

Elza [17]

Answer:

professor delta

Step-by-step explanation:

I tryed

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3 years ago

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea

CaHeK987 [17]

Answer:

$43,625

Step-by-step explanation:

Hello,

The question is a direct application of compound interest and we'll approach this question using the formula of compound interest.

A = P(1 + r/n)^nt

A = compound interest

P = principal

r = rate of the interest

n = number of times compounded

t = time interval for the money to be compounded.

Data;

A = ?

P = $2,500

r = 10% = 0.1

n = 1 (since it's compounded annually)

T = 30 years

A = 2,500 [1 + (0.1 / 1)]^(1 × 30)

A = 2,500 × [1 + 0.1]³⁰

A = 2,500 × 1.1³⁰

A = 2,500 × 17.45

A = $43,625

In 30 years, Jenna would've saved $43,625

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3 years ago

0.2% of 16<br><br> Pls show work.

sattari [20]

Answer:

0.512

Step-by-step explanation:

0.2%x16=0.032

0.032x16= 0.512

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3 years ago