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3 years ago

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Find the steady periodic solution to the differential equation x′′+2x′+64x=7sin(7t) in the form xsp(t)=ccos(ωt−α), with c > 0

and 0≤α<2π.

1 answer:

Musya8 [376]3 years ago

7 0

45265 I really hope thus helps a lot

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Pls help pls help help pls

faltersainse [42]

Answer:

Approximate maximum height is <em>5 ft</em>

$h(\frac{18}{32} )= 5 \ ft$

Step-by-step explanation:

$h(t)=-16t^{2} + 18t$ ---------- (1)

Differentiate equation (1) w.r.t <em>t </em>and equate it to zero (in order to determine maxima)

$h^{'}(t) = -32t+18$

$0= -32t+18$

$t=\frac{18}{32}$

Substitute this value in equation (1)

$h(\frac{18}{32} )=-16(\frac{18}{32} )^{2} + 18(\frac{18}{32} )$

$h(\frac{18}{32} )=-5+ 10$

$h(\frac{18}{32} )= 5 \ ft$

3 0

3 years ago

Find the surface area of each figure. round your answer to the nearest tenth

qaws [65]

Answer: 378.57mi²

Step-by-step explanation:

Formula = a²+2a√{(a²/4)+h²}

please click thanks and mark brainliest if you like :)

8 0

3 years ago

someone please help me.. i can’t figure out what to do. but i need this explained step by step so i know what to do next time.

Genrish500 [490]

Answer:

Step-by-step explanation:

½(x-2) = 8 + 5x

Multiply both sides by 2

2⋅½(x-2) = 2(8 + 5x)

1(x-2) = 2(8 + 5x)

Apply the distributive rule

x - 2 = 16 + 10x

Subtract x from both sides

-2 = 16 + 9x

Subtract 16 from both sides

-18 = 9x

Divide both sides by the coefficient of x

-18 ÷ 9 = 9x ÷ 9

-2 = x

6 0

3 years ago

Choose all equivalent expression(s).

ElenaW [278]

<u>Given</u>:

The given expression is $a b^{-3 x}$

We need to determine the equivalent expression.

<u>Equivalent expression:</u>

Let us determine the equivalent expression.

The equivalent expression can be determined by simplifying the given expression.

Hence, let us apply the exponent rule to simplify the given expression.

Thus, applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we get;

$a(\frac{1}{b^{3x}})$

Rewriting the expression, we get;

$a(\frac{1^{3x}}{b^{3x}})$

Simplifying, we get;

$a\left(\frac{1}{b}\right)^{3 x}$

Thus, the equivalent expression is $a\left(\frac{1}{b}\right)^{3 x}$

Hence, Option C is the correct answer.

7 0

3 years ago

Read 2 more answers

A pipe is leaking at the rate of 16 fluid ounces per minute. Use unit analysis to find out how many gallons the pipe is leaking

larisa [96]

Answer:

The answer is 7.5 gallons per hour.

Step-by-step explanation:

16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces

16 * 60 = 960

960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.

960 / 128 + 7.5

So the answer is 7.5 gallons per hour.

Hope this helps! :)

3 0

2 years ago