All categories

3 years ago

Let u = ln x and v= In y. Write In (x^2y^5) in terms of u and y.

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:

Step-by-step explanation:

u=㏑ x

x=e^u

v=㏑ y

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

You might be interested in

Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

aleksklad [387]

Answer:

Option C is correct.

Equation of a line $y=\frac{-2}{3}x+6$ passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is,

$y-y_{1}=m(x-x_{1})$ ; where m is the slope and is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

First find the slope m:

$m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}$

Substitute this value in equation of line:

$y-6=\frac{-2}{3} (x-0)$ or

$y-6=\frac{-2}{3} x$

⇒ $y=\frac{-2}{3}x+6$

Therefore, the equation for the given point is: $y=\frac{-2}{3}x+6$

7 0

3 years ago

two nascar cars are racing around a 2 mile track. one car can complete a lap in 48 seconds, and the other car can complete one l

Citrus2011 [14]

Let's assume that the faster car has a 2 mile "head start".
The faster car is 1.2 times faster (48/40) than the slower car.
It will take five 2 mile trips to "catch" the other car.
Five 2 mile trips will take 5 * 40 seconds = 200 seconds.

6 0

3 years ago

Read 2 more answers

Find the volume of the Triangular Prism<br> Volume

Crank

Answer:

Volume = 144 m³

Step-by-step explanation:

Volume of triangular prism = ½*b*h*l

Where,

Base of triangular base (b) = 4 m

Height of triangular base (h) = 12 m

Length of prism (l) = 6 m

Volume = ½*4*12*6

Volume = 2*12*6 = 144 m³

5 0

3 years ago

Read 2 more answers

Determine if the given set is a subspace of set of prime numbers P 2. Justify your answer. The set of all polynomials of the for

devlian [24]

Answer:

All polynomials of the p=at² where a is in R is a subspace Pn for an appropriate value of n do not fulfill the condition and hence do not form the subspace

Step-by-step explanation:

Check attachment

7 0

3 years ago

Please help me out !!! <br><br> *please answer asap*

mariarad [96]

Answer:

h(-3) = -5

Step-by-step explanation:

h(-3) = -I 2-(-3) I

Two negatives makes a positive: -(-3) = +3 or 3

h(-3) = -I 2+3 I

h(-3) = -I 5 I

*There is a negative that lies outside of the absolute value lines, which makes everything positive.

Making sure the 5 is positive, remove the absolute value lines.

h(-3) = - +5

The negative sign is still there.

A negative and a positive makes a negative.

h(-3) = -5

7 0

3 years ago