Differential Calculus

posted by .

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.


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.

  • Differential Calculus -

    dp/dq = 2(2q^2-5)
    if p = (2q^2-5)^2
    then dp/dq = 1 (2q^2-5)^1 (4q)
    d/dq (2q^2) = 4 q

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus - Seperable Equations

    Solve the separable differential equation (dy/dx)=y(1+x) for y and find the exact value for y(.3). dy/dx = y(1+x) dy/y = (1+x)dx Integral (dy/y) = Integral (1+x)dx ln (y) = x + (1/2)x^2 + C y = e^(x + (1/2)x^2 + C) y(0.3) = e^(0.345 …
  2. math

    first was w=Cr^-2 solve for r I came up with r=sqrt of C/w Now I have imputed numbers that were provided to come up with the equation 3,963=sqrt c/100 I squared both sides to come up with 15,705,369=c/100 Now I am stuck. Trying to …
  3. Differential Calculus

    Given that p=(2q^2 - 5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage change in p.
  4. Differential Calculus

    Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p. solution dp = 2(2q^2-5) (2dq) dp = (4x(18-5)(0.7%) dp = 4(13)(0.7%) am lost from here is dp=52x0.7/100= 0.364% Responses Differential …
  5. checking answers 4 algerbra

    1. simplify by removing the parenthses and collecting like terms. 83q - (39q-38)=44q+38?
  6. Calculus

    Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct?
  7. 5th grade math (dividing fractions)

    Hi.. I need help figuring out this problem, sovling for x: 3 divided by x/9 = 5 and 2/5 I was able to solve: x divided by 3/4 = 6 by multiplying 6 x 3/4 = 4 1/2. Just not sure how to solve the first problem. If I change 5 2/5 into …

    1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1: 0.1(y+2)(4-y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to …
  9. calculus

    Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y^4."
  10. Help! Calculus

    I am so confused on how to solve this problem. I have it set up with y's on one side and x's on the other but I don't know what to do from there. Question: Solve the differential equation. The initial condition is y(0) = 1. ((x^2+1)^(1/2))(dy/dx) …

More Similar Questions