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2 years ago

What is the the y intercept in y=-2+b

Mathematics

1 answer:

gayaneshka [121]2 years ago

3 0

Your y-intercept is b bc you don’t have any thing yes but your Mx= -2

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Explain why the function is discontinuous at the given number

Novosadov [1.4K]

Answer:

left limit = 2 ≠ 1/2 = right limit

Step-by-step explanation:

A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.

Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.

7 0

2 years ago

Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

Helen [10]

For the ODE

$ty'+2y=\sin t$

multiply both sides by t so that the left side can be condensed into the derivative of a product:

$t^2y'+2ty=t\sin t$

$\implies(t^2y)'=t\sin t$

Integrate both sides with respect to t :

$t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C$

Divide both sides by $t^2$ to solve for y :

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}$

Now use the initial condition to solve for C :

$y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}$

$\implies9=\dfrac4{\pi^2}(1+C)$

$\implies C=\dfrac{9\pi^2}4-1$

So the particular solution to the IVP is

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}$

$y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}$

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2 years ago

Find the value of: (ii) [(1/4) -1 + (1/3) -2 - (1/2) -3 ] ÷ 5

Anastaziya [24]

Answer:

-71/6

Step-by-step explanation:

[(1/4) -1 + (1/3) -2 - (1/2) -3 ] ÷ 5

[(3/12)-(12/12)+(4/12)-(24/12)-(6/12)-(36/12)] ÷ 5

[-71/12]/5

-71/60

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2 years ago

Marilyn and Frank each save $25 per month. Their savings are $3x and $2x respectively. What amount will be the sum of their savi

Artist 52 [7]

Answer:yutu

gdffg

Step-by-step explanation:

uytyuytuyuyu dfgdgdg

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2 years ago

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Ms.Sim traveled to 42 countries in 60 days.At this rate,how many countries would he travel to in 40 days?

eduard

42/60 = x/40
x = 42 x 40 / 60
x = 28

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2 years ago

Read 2 more answers