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3 years ago

15

caelyn and her family went to Galveston on a family vacation. each day caelyn collected shells.Thursday 7shells,friday6shells,sa

turday 8 shells.caelyns brother found 4times as many how many shells did Caelyn's brother find?

2 answers:

MArishka [77]3 years ago

4 0

So if Caelyn collected 21 shells in total and her brother collected 4 times as much all you need to do is multiply 21 by 4 and you get your answer which is 84

seropon [69]3 years ago

4 0

7 plus 6 is 13 plus 8 is 21 now if you add 21 more it will be 42. or you could multiply 21 times 2 which would also be 42 in that case 42 in your answer.

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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

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

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

$y = 2x -4$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Brand A's unit price is $0.24

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2 years ago

A husband and wife celebrate their birthdays on the same day of the month, but in different months. every year, their birthdays

pychu [463]

Husband is in march
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saveliy_v [14]

Answer:

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3 years ago