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4 years ago

15

Use the above figure to answer the question. What’s the angle between the tangents at T in the figure?

1 answer:

UkoKoshka [18]4 years ago

6 0

The answer is 60 degrees

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3/4*6000<br> What is the answer

natali 33 [55]

Answer:

4500 is the answer

Just use the calculator smh

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2 years ago

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A long distance runner starts at the beginning of a trail and runs at a rate of 5 miles per hour. One hour later, a cyclist star

solong [7]

I came up with 1.3 hours.. Not sure if that's right but it would make sense. How did you figure it?

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3 years ago

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Find the solution of the initial value problem y Superscript prime prime Baseline plus 4 y Superscript prime Baseline plus 5 y e

sergiy2304 [10]

Answer:

$y(t) = - 5 {e}^{2\pi - 2t} \cos(t)$

Step-by-step explanation:

The given initial value problem is

$y''+4y'+5=0$

$y( \frac{ \pi}{2} ) = 0$

$y'( \frac{ \pi}{2} ) = 5$

The corresponding characteristic equation is

${m}^{2} + 4m + 5 = 0$

$m = - 2 \pm \: i$

The general solution becomes:

$y(t) = A {e}^{ - 2t} \cos(t) + B {e}^{ - 2t} \sin(t)$

We differentiate to get:

$y'(t) = - A {e}^{ - 2t} \sin(t) - 2 A {e}^{ - 2t} \cos(t) + B {e}^{ - 2t} \cos(t) - 2B {e}^{ - 2t} \sin(t)$

We apply the initial conditions to get;

$y( \frac{\pi}{2} ) = A {e}^{ - 2\pi} \cos( \frac{\pi}{2} ) + B {e}^{ - 2\pi} \sin( \frac{\pi}{2} )$

$A {e}^{ - 2\pi} (0 ) + B {e}^{ - 2\pi} ( 1) = 0$

$B = 0$

Also;

$y'( \frac{\pi}{2} ) = - A {e}^{ - 2\pi} \sin( \frac{\pi}{2} ) - 2 A {e}^{ - 2\pi} \cos( \frac{\pi}{2} ) + B {e}^{ - 2\pi} \cos( \frac{\pi}{2} ) - 2B {e}^{ - 2\pi} \sin( \frac{\pi}{2} )$

$- A {e}^{ - 2\pi} ( 1 ) - 2 A {e}^{ - 2\pi} ( 0 ) + B {e}^{ - 2\pi}( 0) - 2B {e}^{ - 2\pi} ( 1 ) = 5$

$- A {e}^{ - 2\pi} - 2B {e}^{ - 2\pi} = 5$

But B=0

$- A {e}^{ - 2\pi} = 5$

$A = 5{e}^{2\pi}$

Therefore the particular solution is

$y(t) = - 5 {e}^{2\pi} {e}^{ - 2t} \cos(t) + 0 \times {e}^{ - 2t} \sin(t)$

$y(t) = - 5 {e}^{2\pi - 2t} \cos(t)$

4 0

4 years ago

Write the slope-intercept form of the equation of the line described

OLga [1]

Y - 3 = 0(x - 4)

y - 3 = 0

y = 3

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4 years ago

4(1+9x) distributive property

ra1l [238]

4(1+9x)

4 + 36x

hope that helps

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3 years ago

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