All categories

3 years ago

Find the equation of the tangent to the curve at x=3 for parametric equations

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer:

y = 6x − 11

Step-by-step explanation:

x = t + (1/t), y = t² + (1/t²)

If we square x:

x² = t² + 2 + (1/t²)

x² = y + 2

When x = 3, y = 7.

Taking derivative with respect to time:

2x = dy/dx

dy/dx = 6

So the equation of the tangent line is:

y − 7 = 6 (x − 3)

y − 7 = 6x − 18

y = 6x − 11

You might be interested in

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the nu

notka56 [123]

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

4 0

3 years ago

Confirming my responses are accurate

Rina8888 [55]

Answer:

For the first question, the answer is rotation 290 counterclockwise.

And for the second question, the answer is accurate.

8 0

3 years ago

Equivalent to 10 minus 8

Reptile [31]

1+1

Hope this helps!

5 0

4 years ago

Jane cuts a foam block along the red line. When she looks at the newly

alexira [117]

I believe the answer is A

4 0

3 years ago

Point P'P

Snowcat [4.5K]

<u>Given</u>:

The point P' is the image of the point P under the translation $(x,y) \implies (x-6, y-1)$

The coordinates of the point P are (6,0)

We need to determine the coordinates of the point P'

<u>Coordinates of the point P':</u>

The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.

Thus, substituting the coordinates, we have;

$(6,0)\implies (6-6,0-1)$

Simplifying the coordinates, we get;

$(6,0)\implies (0,-1)$

Thus, the coordinates of the point P' is (0,-1)

5 0

3 years ago