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kotykmax [81]
3 years ago
10

Find f'(0.3) for f(x)= the integral from 0 to x of arccos(t)dt

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
\bf \textit{using the 2nd fundamental theorem of calculus}\\\\
\cfrac{dy}{dx}\displaystyle \left[ \int\limits_{0}^{x}\ cos^{-1}(t)dt \right]\implies cos^{-1}(x)
\\\\\\
f'(0.3)\iff cos^{-1}(0.3)\approx 1.26610367277949911126

now.. 0.3 is just a value...we'e assuming Radians for the inverse cosine, so, if you check, make sure your calculator is in Radian mode
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If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
LuckyWell [14K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

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3 years ago
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
yaroslaw [1]
Since she is doubling the box it will be 2 times bigger
5 0
3 years ago
When would you use the Pythagorean theorem
swat32

Answer:

when you have a right angled triangle. that is when the angle is 90 degree.

Step-by-step explanation:

you will use pythagorean theorem when you have a right angled triangle. that is when the angle is 90 degree.

that is when you will have he opposite side , hypotenuse side and adjacent side.

3 0
3 years ago
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Area= 18yd squared, length= 6yd<br> width=
GenaCL600 [577]

Answer:

The width is 3 yds

Step-by-step explanation:

Area = length * width

18 = 6*w

Divide each side by 6

18/6 = 6w/6

3=w

The width is 3 yds

7 0
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4 sisters share 3 muffins equally how much does each get
Allushta [10]
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2 years ago
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