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3 years ago

12

Help pls which ones are the answer

1 answer:

Degger [83]3 years ago

3 0

Answer:

F

Step-by-step explanation:

if t is the total acreage and its reduced by 8%, then t -0.08

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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

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

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

$y = 2x -4$

5 0

3 years ago

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find the length of AC.

Oxana [17]

Answer:

AC=16 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.

This implies that: $AE=CE$ .

We substitute the expression for x, we get:

$11x-3=12-4x$ .

Group similar terms to get:

$11x+4x=12+3$ .

$15x=15$ .

$x=1$

AC = 2(12-4x)

AC=2(12-4(1))

AC=2(8)

AC=16

8 0

2 years ago

10TH GRADE GEOMETRY, REAL ANSWERS PLS. HELP :)

lisov135 [29]

(B) is the right answer

5 0

3 years ago

Read 2 more answers

Hi please help i’ll give brainliest please

TEA [102]

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

3 0

3 years ago

Read 2 more answers

Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales e

Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

$C(x)=75x+3,350$

where x is the number of produced products.

The revenue function is

$R(x)=100x$

With both equations, we can know the profit function as

$P(x)=R(x)-C(x)$

$P(x)=100x-75x-3,350=25x-3,350$

$P(x)=25x-3,350$

For the firm to have positive profits, it has to produce x articles with the condition

$P(x)>0$

Or, equivalently

$P(x)=25x-3,350>0$

Solving for x

$\displaystyle x>\frac{3,350}{25}$

Thus

$x>134$

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0

3 years ago