All categories

3 years ago

Find the direct relationship between y and x . x=e^2t y=e^t

Mathematics

2 answers:

nekit [7.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

x=e^2t

y=e^t

you. have : x=e^2t =(e^t)² = y²

the direct relationship between y and x is : x = y²

olya-2409 [2.1K]3 years ago

5 0

Answer:

x = y²

Step-by-step explanation:

Given

x = $e^{2t}$ and y = $e^{t}$

Note that

x = $e^{2t}$ = $e^{t}$ × $e^{t}$ = y²

Thus x = y²

You might be interested in

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

4 years ago

11.(02.03)

Marianna [84]

Answer:

step number 1 is incorrect.

Step-by-step explanation:

Here is the solution of this equation [2x-31-1=2].

2x-31-1=2

or 2x-31=2+1

or 2x=2+1+31

or 2x= 34

or x=34/2

or x= 17

the answer of this equation is X=17.

8 0

3 years ago

Help Please, im stuck on this question.

lions [1.4K]

Answer:

irrational

Step-by-step explanation:

3/4 + sqrt(2)

3/4 is rational

sqrt(2) is irrational

The sum of a rational and an irrational number is irrational

8 0

3 years ago

5.5 + 2.1x + 3.8x – 4.1

lozanna [386]

Answer:

5.9x + 1.4

Step-by-step explanation:

5.5 + 2.1x + 3.8x - 4.1

= 5.9x + 1.4

4 0

3 years ago

Read 2 more answers

Multiply. Write in simplest form. Identify the two whole numbers between which the product lies 3x3/4 and 6x4/5

likoan [24]

2.25 and 4.8 =10.8

Hope this helps!

4 0

3 years ago

Read 2 more answers