Recent content by Stanc

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)...

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...

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...

Is what I did correct? Not quite sure what you are saying

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...

What do you mean by simplifying it algebraically?? Can you give me a start?

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...

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

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?

Ok Thank you! but is that all it can be simplified down to?

I have to set it equal to zero and use implicit differentiation

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...

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"

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 -...

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?