math
posted by Claudia .
A diagram shows a straight line graph of In y against x,passing through the point (0,2) and having gradient 3/2 .
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

y = 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) 
Can 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 .. 
sorry. 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
Respond to this Question
Similar Questions

Algebra...
Write the equation of a vertical line passing through the point (8,4). Graph x=8 and see if that is what you want. I don't understand? 
math
On a straight line graph, if the line is going this way \ and it goes through 5 on the x axis and 4 on the y axis then what is it's gradient? 
Math
How can I determine a value of gradient from a graph if the line is curved. (not a straight line) This is where Calculus comes in If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you draw … 
maths
find the gradient of the tangent to the parabola y=4xx^2 at (0,0) hence calculate the size of the angle between the line y=x and this tangent. (as i cant show you the diagram all that it shows is the line going through (0,0) and having … 
math
i have more than one question so if u no any of the answers please tell me 1.) write the pointslope form of the equation of the line with slope 2 passing through the point ( 5, 9). 2.) write the pointslope form of an equation … 
Math
This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A The gradient of the line is 3. B The gradient of the line is −3. … 
Mathamatics
This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A) The gradient of the line is 3. B) The gradient of the line is … 
math
With regards to question J: The variables x and y are connected by the equation y = x2  x  5. Some corresponding values of x and y are given in the table below. x 4 3 2 1 0 1 2 3 4 5 y 15 7 a 3 5 b 3 1 7 15 (a) Calculate the … 
math
the straight L has gradient 3 and passes through the point A(6,4). a) find an equation for L in the form y=mx+c b) straight line R has the equation in the form of 7y+x+14=0. Given that R crosses the yaxis at the point B and intersects … 
Math
The variables x and y are related by the equation y=ax/(xb),where a and b are constants .When y is plotted against y/x ,a straight line is obtained .The line has gradient 3 and yintercept 2. (i)Find the values of a and b (ii)Find …