Recent content by meredith

  1. M

    F(x) = (e^x)/x. at what value of x does f(x) attain its minimum

    Homework Statement f(x) = (e^x)/x. at what value of x does f(x) attain its minimum Homework Equations The Attempt at a Solution f'(x) = (x)(e^x) / (e^x) then do i set both of those to 0 and solve? how o i do that? im losttt
  2. M

    Help with the derivative: (x+1)(x-3)^3

    Homework Statement find f'x f(x) = (x+1)(x-3)^3 The Attempt at a Solution i know its the product and chain rules. (x+1)*3(x-3)^2 + (x-3)^3 *1 but then i get all confused with the numbers. could someone walk me through this? thanks!
  3. M

    The function f(x) = e^3x +6x^2 +1 has a horizontal tangent at x =?

    Homework Statement i can't solve it! im really lost. i know you find f''(x) (i got 9e^3x +12) but i don't know where to go from there what would i do on my calculator?
  4. M

    F(x) = x^4 + ax^2 +b. the graph of x has a relative max at 0,1 and

    f(x) = x^4 + ax^2 +b. the graph of x has a relative max at 0,1 and an inflection point at x=1. the values of a and b are...? ok I am really stuck. thanks in advance!
  5. M

    F(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e

    Homework Statement f(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e Homework Equations dy/dx = f'g(x) x g'(x) The Attempt at a Solution i can't figure it out!
  6. M

    I think linear approximation? (square root, tangent, e^x)

    would that be 1/2sqrrt(1+3) = 1/4? so then i multiply that by 0.08 and add it to 2. ok i got it thanks!
  7. M

    I think linear approximation? (square root, tangent, e^x)

    yes i meant the first one sorry i don't know how to do that stuff!
  8. M

    I think linear approximation? (square root, tangent, e^x)

    Homework Statement the value of f(x) = (sqrrt e^x +3) at x=0.08 obtained from the tangent to the graph at x=0 is...? Homework Equations The Attempt at a Solution i used linear approximation. (sqrrt e^o +3) + (1/2(sqrrt3+e^0)(0.08) i got an answer but i know its wrong. i...
  9. M

    Implicit differentiation - messed up somewhere

    Homework Statement find d^2y/dx^2 at (1,1) for: x^2y + x^2 -y^2 = 1 Homework Equations none The Attempt at a Solution i worked it all out but the answer I am getting is not an option. could someone show me where i made a mistake? I am not asking you to do the problem for me...
  10. M

    How would i find the coefficient of sliding friction

    the block is sliding down a wooden plane that has an incline of 22.67 degrees. the block has a mass of 31.0g. also, the block has an acceleration of 16.94m/s^2 Homework Equations f = ma fnormal = (mass x acceleration due to gravity) (cos22.67) (i think?) i tried to find the force...
  11. M

    Word problem using derivatives - struggling with it

    Homework Statement the equation is PV = c; p = pressure, v = volume, c=constant. (also known as Boyle's law) the question: if volume is decreasing at a rate of 10cm^3/minute, how fast is the pressure increasing when the pressure is 100g/cm^2 and volume is 20 cm^3 Homework Equations...
  12. M

    Can the kinetic energy of a system be negative?

    what about the gravitational potential energy of a system? Homework Statement NA [b]2. Homework Equations NA
  13. M

    Forces and laws of motion worksheet-Newtons first law

    Homework Statement http://go.hrw.com/resources/go_sc/phy/HF2SR042.PDF this is the link to the worksheet I am having trouble with. if anyone could help me out that would be great. i got most of it but have a few questions. Homework Equations fy=sin(angle) x force fx= cos(angle) x...
  14. M

    Help with calculus problem- differentiability, continuity, with variables

    Homework Statement y= y= {1+3ax+2x^2} if x is < or = 1 {mx+a} if x>0 what values for m and a make x continuous and differentiable at 1? Homework Equations n/a The Attempt at a Solution i solved for when x=1. i got 3+3a. this is also the right hand...
  15. M

    How Long to Overtake at Different Speeds?

    Homework Statement how long does it take a car traveling in the left lane at 60 km/h to overtake another car traveling in the right lane at 40 kn/h when the cars front bumpers are initially 100 m apart? Homework Equations relative velocity equations V ab = v ae + V be The Attempt...
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