The graph below describes the journey of a train between two cities.

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Answer:

Step-by-step explanation:sim

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Use Greens Theorem to evaluate integral x^2ydx - xy^2dy, where C is 0 ≤ y ≤ √9-x^2 with counterclockwise orientation

Ratling [72]

Answer:

Step-by-step explanation:

a circle will satisfy the conditions of Green's Theorem since it is closed and simple.

Let's identify P and Q from the integral

$P=x^2 y$ , and $Q= xy^2$

Now, using Green's theorem on the line integral gives,

$\oint\limits_C {x^2ydx-xy^2dy } =\iint\limits_D {y^2-x^2} \, dA\\\\$

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3 years ago

Simplify the expression the root of negative sixteen all over the quantity of three minus three i plus the quantity of one minus

aliya0001 [1]

The first step is to multiply the fraction by (3 +3i) / (3 +3i) to delete the i terms from the denominator:

$\frac{ \sqrt{-16} }{3-3i} . \frac{3+31}{3+3i} +1-2i= \frac{4i(3+3i)}{9+9} +1-2i= \frac{12i-12}{18} +1-2i=$

$\frac{12i-12+18-36i}{18} = \frac{6-24i}{18} = \frac{1}{3} - \frac{4}{3} i$

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3 years ago

How do you find the <br> y-intercept and the slope for number 11

Sophie [7]

The first step is to find the slope. Use the slope formula

m = (y2-y1)/(x2-x1)

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3

The y intercept is 3

-----------------------------------

m = -2 is the slope
b = 3 is the y intercept

Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points

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3 years ago

The circumference of a circle is 11pie inches. What is the area, in square inches, of the circle?express answer in terms of pie

Vladimir [108]

Here is ur ans
hope this is helpful

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