Recent content by Stanc

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    How Fast is the Distance Between Two Cars Changing After 4 Hours?

    Homework Statement Car 1 is 148 km north of Car 2. Car 1 moves east at 24km/h while Car 2 moves north at 19 km/h. What rate is the distance between them changing after 4 hours?The Attempt at a Solution Here is What I did: By the Pythagorean Theorem, d^2 = y^2 + x^2 d/dt(d^2) = d/dt(y^2 + x^2)...
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    Calculating Constant Volume Rate of Change

    Ok sorry about the representation thing but is my approach correct? I just don't understand why I didnt have to use the chain rule...
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    Calculating Constant Volume Rate of Change

    Homework Statement A rectangular object has a fixed length of 1m. The height is increasing by 12 cm/min. Find the rate that the width must change so that the volume remains constant at 16 000cm^3 when the height is 10 cm The Attempt at a Solution So here's what I tried: The...
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    Position, Velocity, Acceleration, and Distance?

    Is what I did correct? Not quite sure what you are saying
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    Position, Velocity, Acceleration, and Distance?

    Homework Statement The position of a ball moving on a straight line has an equation of p(t) = 1/3t^3 - 2t^2 +3t , where p is its position and s is time in seconds 1. At what times is the ball at rest? 2. Using its velocity and acceleration, determine the balls DIRECTION and if it is...
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    Prove that the the DERIVATIVE of p(x) is ?

    What do you mean by simplifying it algebraically?? Can you give me a start?
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    Prove that the the DERIVATIVE of p(x) is ?

    Heres what I got: (2x+8)(-1/2) [x^(-3/2)] + {x^(-1/2)} (2) but from here I don't know where to go...
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    Prove that the the DERIVATIVE of p(x) is ?

    Prove that the the DERIVATIVE of p(x) is...? Homework Statement If p(x) = (2x+8) / (√x) Prove that p'(x) is (x√x - 4√x)/x The Attempt at a Solution I keep getting stumped, I cannot simplify it down
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    May I ask you one more question? How would i find the derivative of (1/x) + (1//y) = 1 using implicit and for a question like (x^2/19) - (y^2/9) = 1 would I find the common denominator and then go through with implicit differentiation?
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    Ok Thank you! but is that all it can be simplified down to?
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    I have to set it equal to zero and use implicit differentiation
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    Sorry about the a and b, it should be a=x and b = y (teacher gave it to us like that) but the question is to simply find the derivative (dy/dx)... i don't know what more I can tell you...
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    Is this not the result of the implicit method? Should I not even be using the implicit method? I thought I had to with numerator being the derivative with respect to "a" and the denominator the derivative with respect to "b"
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    Find f'(x): Product Rule for Derivative of (3x^4)(6/(3√x^5)) (6x^2 - 3x)^5

    Homework Statement Find dy/dx: 4a^2b - 3b^2 = a^3 Please SIMPLIFY this one Find f'(x): f(x) = (3x^4) [6/(3√x^5)] (6x^2 - 3x)^5 The middle is 6 divided by the cube root of x^5, Please do not simplify fully for this one and use the product ruleThe Attempt at a Solution i got - (8ab -...
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    Vector Scalar or Not Applicable?

    Homework Statement a dot (b-c)* (a dot b) x c (a-b) x c Which results would yield a scalar, vector, or none? The Attempt at a Solution Please give me some guidance, I know that a dot product produces a scalar and a cross product yields a vector but what about the addition and subtractions?