Ask question

Ask question

All categories

2 years ago

10

Can someone help me

1 answer:

Rufina [12.5K]2 years ago

7 0

6x + 2x = 8x

so 8x is the right answer

You might be interested in

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

3 years ago

12-km run. How many miles is the run?

elena-14-01-66 [18.8K]

Answer:

the amount of miles in 12km

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Is it true that the constant of the expression 18z-7(-3+2z) is 21

ZanzabumX [31]

Yes. It would be true

7 0

3 years ago

Sharla is moving to New York,she found a movin company that charges a one time fee of $400 and $5 per mile,m.which of the follow

ryzh [129]

5+c=400
- 005
395

C=395

4 0

3 years ago

an electrician charges $15 per hour plus a callout chare of €25. Draw a number machine for the electrician's charge

juin [17]

Answer:

Shown below

Step-by-step explanation:

I believe that the number machine would look like this:

number of hours x (£15) + (£25)

6 0

2 years ago