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Alecsey [184]
3 years ago
8

Anyone knows this need some help pls ?!

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Answer:

The art is rectangular because (0.5)²+(1

2)²=(1.3)²

Step-by-step explanation:

This is testing your ability to recognize a rectangle is fundamentally composed of 2 right triangles, and asking you to apply the Pythagorean Theorem.

Therefore, we shall do just that:

{0.5}^{2}  +  {1.2}^{2}  =  {1.3}^{2}  \\ 0.25 + 1.44 = 1.69 \\ 1.69 = 1.69

So, the art is rectangular, and the answer is the first one.

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3 years ago
Calculus= Integrate 5^x dx please break down how answer is 1/6x^6+C
aleksley [76]

Answer:

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Step-by-step explanation:

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The solution is as follows:

Given

5^x

Required

Integrate

Represent the given expression using integral notation

\int\limits {5^x} \, dx

This question can't be solved directly;

We'll make use of exponential rules which states;

\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c

By comparing \int\limits {5^x} \, dx with \int\limits {a^x} \, dx;

we can substitute 5 for a;

Hence, the expression \int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c becomes

\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c

-------------------------------------------------------------------------------------

However, the integral of x^5 is \frac{1}{6}x^6 + c

This is shown below:

Given that x^5

Applying power rule;

Power rule states that

\int\limits{x^n}\ dx = \frac{x^{n+1}}{n+1} + c

In this case (x^5), n = 5;

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becomes

\int\limits{x^5}\ dx = \frac{x^{5+1}}{5+1} + c

\int\limits{x^5}\ dx = \frac{x^{6}}{6} + c

\int\limits{x^5}\ dx= \frac{x^{6}}{6} + c

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