HELP! Evaluate the line integral where C is given by the vector function r(t).

Check the picture below.

The equation of the parabola whose focus is (-2,2) and whose directrix is x​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]

If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:

(h, k) is the vertex of the parabola

If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5

Substitute these values into the formula of the parabola.

[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]

Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x ​​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

Learn more here: https://brainly.com/question/7243813

Answer:

a = 11

Step-by-step explanation:

a = (7+6) - 2

a = 13 - 2

a = 11

Answer:

I don't understand

Step-by-step explanation:

Like How

Answer:

3 and-2

Step-by-step explanation:

The point of intersection

Answer:

x=-2, x=3

Step-by-step explanation:

x²-x-6=0

x²-3x+2x-6=0

x(x-3)+2(x-3)=0

(x+2)(x-3)=0

Answer:

16

Step-by-step explanation:

8x8 is 64, so half of 8 is 4 so 4x4 is 16

I wrote notes on this question a while ago

C=cookies to make

C+8=15

C+8-8+15-8

C+0=7

C=7

Check:7+8=15

15=15

[tex] \huge \bf \color{gold} \frac{3}{5} \div \frac{2}{6} = [/tex]

[tex] \tt \frac{3}{5} \times \frac{6}{2} = [/tex]

[tex] \tt \frac{18 \div 2}{10 \div 2} = [/tex]

[tex] \tt \frac{9}{5} = [/tex]

[tex] \boxed {\color{blue}{ 1 \frac{4}{5}}}[/tex]

THE RESULT IS 1 4/5

Answer:

The solution is 9/5 and 1/5

Step-by-step explanation:

3/5÷2/6

= 3/5×6/2

= 3/5×3

= 9/5

3/5÷6/2

= 3/5×2/6

= 3/5×1/3

= 1/5

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Step-by-step explanation:

245=50+1s. /-50

195=1s

s=195

Answer:

8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)

Step-by-step explanation:

Answer:

"given figure"

No figure was given.

Step-by-step explanation:

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)

Answer:

1,3

Step-by-step explanation:

1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.

Answer:

Triangle

Step-by-step explanation:

A parallelogram have four sides

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

Step-by-step explanation:

The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().

We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.

Answer:

51.9 miles

Step-by-step explanation:

distance  = speed * time

d = 59.3 * 7/8

d = 51.8875 miles

rounded

51.9 miles

Answer:

0.006%

Step-by-step explanation:

minused old price from the new one and then divided the answer by the old price

Problem 1

The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.

Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.

75*26 = 1950

Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.

Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.

Don't forget about the equal sign out front

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Problem 2

Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.

Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.

Don't forget about the equal sign out front

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Problem 3

There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.

Or

Don't forget about the equal sign out front

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Problem 4

Explanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.

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Problem 5

Explanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)

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Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.

Answer:

Falta informacion para poderlo realizar (   :

Step-by-step explanation:

Answer:

8×100+P×10+2×1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.

Answer:

First drop down: √4 and √9

Second drop down: 2 and 3

Third drop down: 10 and 15

Step-by-step explanation:

the root of four is 2

the root of nine is 3

thus √ 7 is between 2 and 3

5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.

Answer:

The price of of the ticket exceeds its value by $ .75

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

Answer:

SAS similarity

Step-by-step explanation:

LO and LP are proportional to LN and LM, as shown by:

[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]

Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate