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3 years ago

What is the exact volume of a cone with a radius of 9 cm and height of 6 cm?

Mathematics

2 answers:

Brut [27]3 years ago

8 0

Answer: 508.94 cm

Step-by-step explanation: V=πr^{2}(h/3) or V=π9^{2}(6/3)

6/3 = 2

9^{2} = 81

π81 = 254.47

81 * 254.47 = 508.94

andreyandreev [35.5K]3 years ago

7 0

V≈508.94cm³ would be chur answer

i luv chur pfp by the way

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vivado [14]

Answer:

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Step-by-step explanation:

straight line= 180⁰

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1 year ago

31.8 dived 0.58 answer

Charra [1.4K]

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Step-by-step explanation:

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3 years ago

If you paid $1600 in property taxes on a house appraised at $80,000 what is the property tax rate in your neighborhood?

bazaltina [42]

Answer: 2%

Step-by-step explanation:

1600/80000. Simplifying by 100:

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3 years ago

Calculus 2

FinnZ [79.3K]

Answer:

See Below.

Step-by-step explanation:

We want to estimate the definite integral:

$\displaystyle \int_1^47\sqrt{\ln(x)}\, dx$

Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.

The trapezoidal rule is given by:

$\displaystyle \int_{a}^bf(x)\, dx\approx\frac{\Delta x}{2}\Big(f(x_0)+2f(x_1)+...+2f(x_{n-1})+f(x_n)\Big)$

Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:

$\displaystyle \Delta x=\frac{4-1}{6}=\frac{1}{2}$

Therefore, the trapezoidal approximation is:

$\displaystyle =\frac{1/2}{2}\Big(f(1)+2f(1.5)+2f(2)+2f(2.5)+2f(3)+2f(3.5)+2f(4)\Big)$

Evaluate:

$\displaystyle =\frac{1}{4}(7)(\sqrt{\ln(1)}+2\sqrt{\ln(1.5)}+...+2\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx18.139337$

The midpoint rule is given by:

$\displaystyle \int_a^bf(x)\, dx\approx\sum_{i=1}^nf\Big(\frac{x_{i-1}+x_i}{2}\Big)\Delta x$

Thus:

$\displaystyle =\frac{1}{2}\Big(f\Big(\frac{1+1.5}{2}\Big)+f\Big(\frac{1.5+2}{2}\Big)+...+f\Big(\frac{3+3.5}{2}\Big)+f\Big(\frac{3.5+4}{2}\Big)\Big)$

Simplify:

$\displaystyle =\frac{1}{2}(7)\Big(f(1.25)+f(1.75)+...+f(3.25)+f(3.75)\Big)\\\\ =\frac{1}{2}(7) (\sqrt{\ln(1.25)}+\sqrt{\ln(1.75)}+...+\sqrt{\ln(3.25)}+\sqrt{\ln(3.75)})\\\\\approx 18.767319$

Simpson's Rule is given by:

$\displaystyle \int_a^b f(x)\, dx\approx\frac{\Delta x}{3}\Big(f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+...+4f(x_{n-1})+f(x_n)\Big)$

So:

$\displaystyle =\frac{1/2}{3}\Big((f(1)+4f(1.5)+2f(2)+4f(2.5)+...+4f(3.5)+f(4)\Big)$

Simplify:

$\displaystyle =\frac{1}{6}(7)(\sqrt{\ln(1)}+4\sqrt{\ln(1.5)}+2\sqrt{\ln(2)}+4\sqrt{\ln(2.5)}+...+4\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx 18.423834$

6 0

2 years ago

Please help with this!!!

RSB [31]

Answer:

Step-by-step explanation:

So to graph an inverse of the function given we have to switch the x and y values of the function:

So Ill do some points and the rest of the points the same process is applicable.

So our first point is (-1,1)

So our inverse point would be (1,-1)

The second point is (-2,2)

So our inverse point would be (2,-2)

The third point is (-3,3)

So our inverse point would be (3,-3)

Hope this helps!

5 0

3 years ago