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2 years ago

Which polar coordinates represent the same point as (4, −π/2)

1 answer:

7 0

You can go full 2π rotate around counterclockwise so the angle wouldn't be negative.

So -π/2 + 2π = -π/2 + 4π/2 = 3π/2

So (4, 3π/2) is the same point as (4, -π/2)

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Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

3 0

2 years ago

Lauren bought g golf balls. The balls came in 10 packages. Write an expression that shows how many golf balls were in each packa

mezya [45]

G/10
g amount into 10 different sections.

6 0

2 years ago

Please help me on this will give you brainliest!!

dolphi86 [110]

Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

8 0

2 years ago

Read 2 more answers

If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.

MAXImum [283]

Answer:

It’s the 2nd,3rd,and 4th

Step-by-step explanation:

I just took the quiz

3 0

2 years ago

Read 2 more answers

Y-4=-2(x-3) in standard form using integers

Brut [27]

Answer:

-2x-6 I think

Step-by-step explanation:

I think that it is -2x-6 because I did -2 and x is -2x and -2 times -3 is 6.

5 0

2 years ago