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  1. J

    Are these correct

    1) Differentiate x(t) = pi / t2 pi x(t) = t-2 = pi (t-2) = -2pi t-3 2) Differentiate x(t) = 1 / (At3 + B) = (At3 + B)-2 x (2At2) = (-2At2) / (At3 + B) 3) Differentiate x(t) = [A sqrt(t+B)]4 = [A (t+B)1/2]4 = A4(t + B)2 = 2A4(t + B) 4) The nebraska board of grain are...
  2. J

    Differentiation problem and finding maximum, need helping ?

    Differentiation problem and finding maximum, need helping :)? have a few problems with these questions, can you help :) Using differentiation, find the MAXIMUM value of the following functions? 1. f(x) = x2 / 4 + 4 / x 2. f(x) = xe-2x2 3. f(x) = sqrt(x - n) / x ; n>0 hope you guys...
  3. J

    Indefinate integration problem

    Indefinate integration problem !! find the following indefinate integrals? a) ∫ x / 1 + x2 b) ∫ 1 / 1 - x2 c) ∫ 3x / (2x2 - 3)4 can you help me please !!!
  4. J

    Indefinate integration problems

    Indefinate integration problems!!! find the following indefinate integrals? d) ∫ 6x2 / sqrt(2x3 + 9) e) ∫ x sqrt(1 - x2 f) ∫ 4 / (x + 2)(x + 3) can you help me answer these please
  5. J

    Maximum values for differentiation

    maximum values for differentiation :( have a few problems with these questions, can you help :) using differentiation, find the maximum value of the following functions? 1. f(x) = -x2 + x 2. f(x) = lnx - x 3. f(x) = -x2 + 2x2 4. f(x) = x2/4 + 4/x 5. f(x) = xe-2x2 6. f(x) = sqrt(x -...
  6. J

    Differentiation problems

    hey guys, i do apologise, i had a go at them, and i was wondering if the answers i got were correct! 1.f(x) = -x^2 + x d/dx(x^n) = nx^(n-1) f '(x) = -2x + 1 2.f(x) = lnx - x f '(x) = (1/x) - 1 3.f(x) = -x^4 + 2x^2 f '(x) = -4x^3 + 4x 4.f(x) = x^2 / 4 + 4 / x...
  7. J

    Differentiation problems

    have a few problems with these questions, can you help :) 1. f(x) = -x2 + x 2. f(x) = lnx - x 3. f(x) = -x4 + 2x2 4. f(x) = x2/4 + 4/x 5. f(x) = xe-2x2 6. f(x) = sqrt(x - n)/x ; n>0 hope you guys can help !
  8. J

    Last question on integration (and i am stuck)

    that is what the question says on my sheet mate, im sure i aint dyslexic and it is the bloody lectures that cant write down questions properly haha
  9. J

    Last question on integration (and i am stuck)

    bare with me, i am a diagnosed dyslexic sorry, i know what a head land is, but i can not seem to go anywhere, im not comprehending this info lol
  10. J

    Last question on integration (and i am stuck)

    in plan view, the shoreline of a bay may be approximated by a curve f(x) = -x2 + 2x between one headland at x = 0 and another at x = 1km, where (f) is also measured in km. at low tide, the edge of the sea just reaches each headland, following a straight line between them. calculate in km2 the...
  11. J

    What is the derivative of this

    what would be the derivative if you are asked to differentiate x(t) = pi / t^2
  12. J

    What is the derivative of this

    hey guys whats is the derivative of you are asked to integrate; x(t) = pi / t2 i dont have a rule for this, so i cant integrate it :( help
  13. J

    Integration problem (need help)

    if a spaceship accelerates, from restat time t = 0, at a rate of 2t / sqrt(1 + t^2) m/s at time t, calculate in years to 1 significant figure how long it would take to reach the speed of light? my attempt speed of light = 3.0 x 10^8 m/s integrate the rate function 2t / sqrt(1 + t^2) from...
  14. J

    Finding the rate of change

    is it 1 / sqrt(1-x^2) :)
  15. J

    Finding the rate of change

    the height h(x) in meters above the ground of a parachute varies with her horizontal distplacement x in meters from a landing target on the ground as h(x) = 50sin^-1 (0.1x). what is the rate of change of h with respect to x at x = 6m? i was wondering of someone could help me with this question :)
  16. J

    Spaceship calculus problem

    if a spaceship accelerates, from rest at time t=0, at a rate of 2t / sqrt(1 + t2) ms-2 at time t, calculate in years to 1 significant figure how long it would take to reach the speed of light 3x108 ms-1? i got an answer of 5 years, is this correct, but i have made a mess of my workings, what...
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