you have the expression for dp.

q=3, dq=.007*3

Now solve for dp and solve for P at q=3

percentage change in p then is dp/p divided by 100.

alright...

dp(2q^2-5)^2, dp/dq = 2(2q^2-5)
dp = 0.007x3 = 0.021
dp = (2(2(2)^2-5)^2 = (6)^2 = 36

36x0.021 = 0.756

(2(2)^2-5)^2 (3)^2 = 9

0.021/9 x 100 = 2.3%

pls correct me.

dp/dq = 2(2q^2-5)

no
if p = (2q^2-5)^2
then dp/dq = 1 (2q^2-5)^1 (4q)
because
d/dq (2q^2) = 4 q

To solve for dp and P at q=3, we start with the expression for dp: dp = 0.007*q. Since q=3, we can substitute it into the equation.

dp = 0.007 * 3
dp = 0.021

So dp is equal to 0.021.

Now let's solve for P at q=3. The expression for P is (2q^2-5)^2.

P = (2(3)^2-5)^2
P = (2(9)-5)^2
P = (18-5)^2
P = 13^2
P = 169

Therefore, P at q=3 is equal to 169.

To find the percentage change in P, we calculate dp/p divided by 100.

Percentage change in p = (dp/p) / 100

Substituting the values we found:

Percentage change in p = (0.021/169) / 100
Percentage change in p = 0.000124852 / 100
Percentage change in p = 0.0000012485

Therefore, the percentage change in p is approximately 0.0000012485 or 0.00012485%.

Please note that if there were any corrections needed, it would depend on the specific instructions or equations provided.