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erastovalidia [21]
3 years ago
11

What is the exponential form of the logarithmic equation? 4=log0.80.4096

Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

2.80

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E2%20%5Cleft%28%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%20
Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx

Let f(x) = \sqrt{1 + x^3}. Compute the inverse:

f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}

and we immediately notice that f^{-1}(x+1)=\sqrt[3]{x^2+2x}.

So, we can write the given integral as

\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx

Splitting up terms and replacing x \to x-1 in the first integral, we get

\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}

7 0
2 years ago
Which of the following is the best strategy to support children in learning about shapes?
Sunny_sXe [5.5K]

The best option is C. Provide multiple worksheets with pictures of the basic shapes for children to colour.

<h3>What does the learning process in children involve?</h3>

The process of learning has often been described to include all but not limited to the following:

  • gaining new understanding,
  • learning new behaviours,
  • skills,
  • values, attitudes, and
  • preferences.

Children according to experts learn faster and easily remember what they see. Hence, providing multiple worksheets with pictures of the basic shapes for children to colour is the most cost-efficient strategy to support children in learning about shapes.

You can learn more from a related question about teaching strategies to use for children here brainly.com/question/240537

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4 0
2 years ago
How to simplify 9+5(4x+4)
RoseWind [281]
Use PEMDAS. Parenthesis, Exponents, Multiply, Divide, Addition, Subtraction.
So, you'd distribute 5 into the parenthesis, leaving you with 9+20x+20, then add like terms. 20x+29 
5 0
3 years ago
Read 2 more answers
David has a part-time job. He earns $9.40 per hour. How much will he earn when he works 9 hours?
Oksana_A [137]

Answer:

$84.60

Step-by-step explanation:

$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents

7 0
2 years ago
well if fiona multiplies a number by 2 thirds the product is greater than 2 thirds which could be that number that fiona multipl
DIA [1.3K]

Answer:

it will be B) 6/5 because thats the only thing that would get you a greater number then 2/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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