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3 years ago

Find the diameter of the circular garden whose circumference is 124.03 cm

Mathematics

1 answer:

leonid [27]3 years ago

6 0

Answer:

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<h3>Solve for diameter</h3>

hopefully help:)

Step-by-step explanation:

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Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do

const2013 [10]

Answer:

$y_p=A+Bt+Ce^{2t}$

Step-by-step explanation:

Given: $y'' - 2y' = 6t + 5e^{2t}$ .

we need to find the correct form for $y_p$ if the equation is solve using undetermined coefficients.

A first order differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right )$ is said to be homogeneous if $f(tx,ty)=f(x,y)$ for all t.

Consider homogeneous equation $y''-2y'=0$

Let $y=e^{rt}$ be the solution .

We get $(r^2-2r)e^{rt}=0$

Since $e^{rt}\neq 0$ , $r^2-2r=0$ .

So, we get solution as $y_c=c_1+c_2e^{2t}$

As constant term and $e^{2t}$ are already in the R.H.S of equation

$y" - 2y' = 6t + 5e^{2t}$ , we can take $y_p$ as $y_p=A+Bt+Ce^{2t}$

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3 years ago

Read 2 more answers

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

joja [24]

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

$(x,y)\to (-y,x)$

$P(x,y)\to P_1(-y,x)$

If a figure translated 3 units up, then

$(x,y)\to (x,y+3)$

$P_1(-y,x)\to P'(-y,x+3)$

If triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

$(x,y)\to (-y,x+3)$

Therefore, the required rule of transformation is $(x,y)\to (-y,x+3)$ .

Note: Option are not in proper form.

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3 years ago

Find the rate of change

Arte-miy333 [17]

Answer:

Step-by-step explanation:

the rate of change is Rise/ Run

= Δy / Δx

= (y2 – y1) / (x2 – x1)

= (1 - (-1))/(-1 - (-2))

=2/1

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3 years ago

Find the diameter of the circular garden whose circumference is 124.03 cm​

Find the diameter of the circular garden whose circumference is 124.03 cm