Sunday

December 21, 2014

December 21, 2014

Posted by **Claudia** on Thursday, August 8, 2013 at 10:48pm.

The variables x and y are connected by the equation y=pq^x ,where p and q are constants

Find

(i)the value of p and of q ,to one decimal place

(ii)the equation relating x and y

- math -
**Steve**, Friday, August 9, 2013 at 12:02amy = pq^x

lny = lnp + x lnq

2 = lnp + 0 lnq

p = e^2

1/y y' = lnq

y' = y ln q

-3/2 = 2 lnq

lnq = -3/4

q = e^(-3/4)

y = e^2 e^(-3x/4)

- math -
**Claudia**, Friday, August 9, 2013 at 12:24amCan be more specific? still do not understand ...

The answer for part (ii) should be y=7.4(0.2)^2

and the values of q is o.2 ..

- math -
**Steve**, Friday, August 9, 2013 at 12:36amsorry. Guess I should not have given that last line, but the values for p and q were given...

p = e^2 = 7.4

q = e^(-3/2) = 0.2

**Answer this Question**

**Related Questions**

maths - find the gradient of the tangent to the parabola y=4x-x^2 at (0,0) hence...

math - i have more than one question so if u no any of the answers please tell ...

Math - This question concerns the straight line that passes through the points...

Math - How can I determine a value of gradient from a graph if the line is ...

math - With regards to question J: The variables x and y are connected by the ...

Mathamatics - This question concerns the straight line that passes through the ...

math - On a straight line graph, if the line is going this way \ and it goes ...

Algebra... - Write the equation of a vertical line passing through the point (8...

math - On a straight line graph, if the line is going this way \ and the co ...

Math - The variables x and y are related by the equation y=ax/(x-b),where a and ...