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3 years ago

See attached photo. Please Help ASAP and Explain

Mathematics

1 answer:

nignag [31]3 years ago

3 0

(sinx)^2 = 1 when cosx is 0 at pi/2 and 3pi/2
cosx = 1 when sinx is 0 at 0

therefore, A

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Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the region under the curve y = 1

velikii [3]

Using the shell method, the volume is given exactly by the definite integral,

$2\pi\displaystyle\int_0^1x(1+9x^3)\,\mathrm dx$

Splitting up the interval [0, 1] into 5 subintervals gives the partition,

[0, 1/5], [1/5, 2/5], [2/5, 3/5], [3/5, 4/5], [4/5, 5]

with left and right endpoints, respectively, for the $i$ -th subinterval

$\ell_i=\dfrac{i-1}5$

$r_i=\dfrac i5$

where $1\le i\le5$ . The midpoint of each subinterval is

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}{10}$

Then the Riemann sum approximating the integral above is

$2\pi\displaystyle\sum_{i=1}^5m_i(1+9{m_i}^3)\frac{1-0}5$

$\dfrac{2\pi}5\displaystyle\sum_{i=1}^5\left(\frac{2i-1}{10}+9\left(\frac{2i-1}{10}\right)^4\right)$

$\dfrac{2\pi}{5\cdot10^4}\displaystyle\sum_{i=1}^5\left(16i^4-32i^3+24i^2+1992i-999\right)=\frac{112,021\pi}{25,000}\approx\boxed{14.08}$

(compare to the actual value of the integral of about 14.45)

3 0

3 years ago

A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr

evablogger [386]

Answer:

40 feet

Step-by-step explanation:

Given : The deck is at a height of 520 ft. She sees her friend on the ground below at an angle of depression of 85.6 degrees.

To Find : What is the distance between the two? Round your answer to the nearest tenth of a foot.

Solution :

Refer the attached figure

Height of deck =AB =520 ft.

Angle of depression ∠C = 85.6°

We are supposed to find length of BC i.e. distance between two.

We will use trigonometric ratios :

$tan \theta = \frac{perpendicular}{base}$

$tan 85.6^{\circ} = \frac{AB}{BC}$

$12.99615= \frac{520}{BC}$

$BC= \frac{520}{12.99615}$

$BC= 40$

Thus the distance between two is 40 feet

7 0

3 years ago

Read 2 more answers

Solve the following question algebraically, show your work<br><br> 13 + w/7 <-(fraction) = -18

evablogger [386]

Solve for w: by simplifying both sides of the equation, then isolating the variable.

w=-217

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It is about a 28% chance.

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What are the features of the quadratic function f(x) = x^2 + 10x + 21?

defon

A is the correct answer buddy.

_________________________________

good luck.♥️♥️♥️♥️♥️

3 0

3 years ago