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2 years ago

Let f be the function given by f(x)=3ln⁡(2+x2)cos⁡x. What is the average value of f on the closed interval 2≤x≤6?

Mathematics

1 answer:

ladessa [460]2 years ago

4 0

The average value of f(x) over [2, 6] is given by the definite integral,

$\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx$

and is approximately -1.67284.

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Evaluate the expression a•b for a =24 and b=8

Butoxors [25]

$\huge\text{Hey there!}$

$\mathsf{a\times b}}$

$\mathsf{= 24\times8}$

$\mathsf{= 192}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{192}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

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2 years ago

Solve x4 - 11x2 + 18 = 0.

lara31 [8.8K]

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9

taking square roots:

√x^2 =√2 ,√x^2=√9

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

6 0

2 years ago

Read 2 more answers

Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times

malfutka [58]

The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

$6\times6\times6\times6)\times6$

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,

$6^4\times6$

Suppose the equivalent expression of this equation is n. Thus,

$n=6^4\times6$

The 4 power of number 6 means that the number 6 should be multiplied 4 times.

$n=(6\times6\times6\times6)\times6$

Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

$6\times6\times6\times6)\times6$

Learn more about the equivalent expression here;

brainly.com/question/2972832

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2 years ago

A musician spends 90 minutes practicing piano and guitar the time spent is 30 minute less than twice the same time spent on guit

11111nata11111 [884]

Answer:

The which spends on the piano is( 50 minutes )

The which spends on the guitar is( 40 minutes )

Step-by-step explanation:

The steps of the solution in the above photo

I hope that is useful for you :)

8 0

3 years ago

No links or files please im doing two at a time to get it done quicker

andrew-mc [135]

Answer: 5.6 cm

Step by Step: I used the same formula as the question before and I got the answer for this question. When solving questions like this, you can work backwards from the problem and then solve

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2 years ago