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wlad13 [49]
3 years ago
5

Evaluate the integral f*dr where f(x,y)=<-y,x^2> and c consists of te arc of the parabola y=2x^2 from (-1,2) to (1,2)

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0
y=2x^2\implies\mathbf r(x)=\langle x,2x^2\rangle

\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_{t=-1}^{t=1}\langle-2x^2,x^2\rangle\cdot\langle1,4x\rangle\,\mathrm dx
=\displaystyle\int_{-1}^1(8x^3-2x^2)\,\mathrm dx
=-\dfrac43
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The measure of angle O is 110°. what is the angle of r and p?
sergij07 [2.7K]

Answer:

Choice D for Angle R

70 degrees for Angle P

Step-by-step explanation:

Google "central angles and inscribed angles geometry" for an explanation.

It's actually a poorly worded question.

7 0
3 years ago
Read 2 more answers
8x + 11 = 2(4x - 7) + 25<br> Step by step please!
Dimas [21]

Step-by-step explanation:

8x + 11=2(4x-7) + 25

8x + 11 = 8x - 14 + 25

8x + 11=8x- 14 + 14 +25 + 11

8x-8x + 11 -11 = 14 + 25 + 11

8x-8x =14 + 25 + 11

X = 50

3 0
3 years ago
Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
2 years ago
You need to buy some pencils and an eraser. You can spend no more than $5. The eraser cost $1 and the pencil cost $0.25 each. Wr
vekshin1
5≤1e+ .25p 
E represents erasers and p pencils

6 0
3 years ago
What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?
Alexeev081 [22]
First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24          Add 2x to both sides
4y = 2x + 24         Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!

Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6     Subtract 6 from both sides
-6 = (1/2) x          Multiply both sides by 2
-12 = x
The x intercept is -12

In Conlusion:
x-intercept = -12
y- intercept = 6
6 0
3 years ago
Read 2 more answers
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