Recent content by rachael

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    Calculating Cone Properties: Height, Slant, Radius, and Volume in Terms of x

    1.A cone where h= height of the cone s= slant of the cone r= radius of the cone a.Find c,circumference of a cone in terms of x b.find r, radius of the cone in terms of x c. find an expression for the slant height of the cone in terms of x d. find h, hieght...
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    Proving a volume of a cylinder

    thank you for your help though
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    Differentiating volume of a cylinder

    do i apply the product rule to find dv/dh?
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    Proving a volume of a cylinder

    yes the area of the paper is used
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    Differentiating volume of a cylinder

    i am not sure what you mean though do u mean that dV\dh= πh? instead of 2πr
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    Differentiating volume of a cylinder

    1. differentiate the volume of a cylinder with v respect to h my working out: v= πr^2h dV\dh= 2πr n da answer is not right how do i make da "h" remains in da equation? could some one please help me? thank you
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    Proving a volume of a cylinder

    1. Show that a volume of a clyinder equals to v= A^2 \ (4πh) where h= height of the cylinder A = area of a original paper how would i prove this question? could anyone please help thank you v= πr^2 h -------1 v=A^2 \ (4πh)-----2 i tried to make h da subject but i got...
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    Optimizing Rectangle Dimensions within a Circle

    1. Find the dimensions of the rectangle with largest area which can be cut from a circle with equation x^2+ y^2= 4 this is the question but i got stuck half way when i was differentiating the equation how do i work this out : [square root of (4-y^2)] + ([-y ^2] \ square root[ 4- y^2])
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    How Do You Maximize the Volume of a Prism with an Equilateral Triangle Base?

    3 The cross-section of a solid prism is an equilateral triangle, The sum of the lengths of the edges of the prsim is 18 cm. a. find the exact side length of the triangle in cm so that the volume is maximised. b. Find the maximum volume in cm^3, correct to 2dp i can't seem to find the...
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    Application of differentiation

    2 The displacement of a particle from a fixed point is given by x = t(6 − t)(t + 1), 0 ≤ t ≤ 6. a Find the exact time when the particle is a maximum distance from the fixed point. b Find the velocity, v, when t = 3. c Find the exact time when the particle is at maximum velocity. d Find the...
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    Background Physics of Bouncing a Ball

    What is the background physics of "bouncing a ball? Momentum and impulse are the background physics but is there any thing else?
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    What is dynamic nature of chemical equilibrium?

    what is "dynamic nature" of chemical equilibrium? Explain what is meant by "dynamic nature" of chemical equilibrum?? thank you
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    Why does the potential drop in this case?

    8 A voltage of 3.0 V is required to operate an alarm circuit. Only a 12 V supply is available, together with a number of resistors. The resistance of the alarm circuit is about 1000 Ω. A student selects four resistors of value 10 kΩ and sets them up in a series circuit. The voltmeter...
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