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Snezhnost [94]
3 years ago
10

Which equation represents the line that passes through the points (6,-3)and(-4,-9)

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0
Obtaining thevslope you get 6/5. so
9=-24/5 +n
=
y=6/5x + 21/5
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Unsure how to do this calculus, the book isn't explaining it well. Thanks
krok68 [10]

One way to capture the domain of integration is with the set

D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}

Then we can write the double integral as the iterated integral

\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx

Compute the integral with respect to y.

\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)

Compute the remaining integral.

\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}

We could also swap the order of integration variables by writing

D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}

and

\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy

and this would have led to the same result.

\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)

\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)

7 0
1 year ago
Solve for the variable.<br> The quotient of a number n divided by -4.5 equals 200.6.
jeyben [28]

Answer:

n = -902.7

Step-by-step explanation:

n/-4.5 = 200.6

n = (-4.5)(200.6)

n = -902.7

8 0
2 years ago
What does a slope of 1/4 look like
Reil [10]
Slope is also known as rise over run - 
\frac{rise}{run}
Here, we have the slope \frac{1}{4}. This means that the rise is 1 and the run is 4. Since both values are positive, we can say that we go up one and we go right four. When we plot this on a graph (the graph is attached), we get the same exact formula we found. **In the graph, I plotted the line y= \frac{1}{4} x**. Hope this helped!

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=2%20%2B%20%28%20-%203%29%20%20%20%5E%7B2%7D%20" id="TexFormula1" title="2 + ( - 3) ^{2} " al
Troyanec [42]

Answer:

11

Step-by-step explanation:

2 + ( - 3) ^{2}  \\  \\  = 2 + 9 \\  \\  = 11

4 0
2 years ago
Read 2 more answers
What is the missing number in the equation.. 35.4 x □ = 3.54. A. 100 B. 10 C. 1/10 D. 1/100
fomenos
The correct answer is 1/10.
4 0
3 years ago
Read 2 more answers
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