Calculus (Parts A and B done, just help with C)
The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. A. At the time when the radius of the sphere is 12 meters, what is the rate of increase in its volume? B. At the time when the volume of the sphere is 36pi cubic meters, what is the rate of ...
Calculus
A piece of elastic is attached to two nails on a flat board, with a button attached to the midpoint of the elastic. The nails are 5 cm apart. You stretch the elastic by pulling the button along the board in a direction that is perpendicular to the line between the nails. A. Fn...
Calculus ~ Related Rates
A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate is the tip of his shadow moving?We've already set this up part of the way. We know that dx/dt = - 2 meters per second, and we're looking...
Calculus (Tangent Line Approximation - EDIT)
Just wanted to make one more clarification, the equation is supposed to be (1 + x)^n.
Calculus (Tangent Line Approximation)
Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.
Calculus (Normal Line, please check my work)
I think I may be understanding what you are saying. So, to put this in very simple turns, rather than assuming that -1 / (4/0) was just undefined, I should have taken it out farther; for example, dividing by a fraction is the same as multiplying by its reciprocal, which would ...
Calculus (Normal Line, please check my work)
I apologize if I seem like I don't understand what you are trying to explain, but you have really confused me on what I thought was a more simple problem. I would really appreciate it if you could check my original answer using differentiation, instead, as this is the meth...
Calculus (Normal Line, please check my work)
Where did you get infinity? Using differentiation, I found that: dy/dx = (-4cosx) / (9(-siny)) When I put (pi, 0) into this equation, the denominator is 0, making the slope of the tangent line undefined. And since the slope of the normal line is -1/(slope of the tangent line),...
Calculus (Normal Line, please check my work)
Using strictly the derivative (because wolfram isn't working for me), how can you prove that the slope of the normal line is 0?
Calculus (Normal Line, please check my work)
For the tangent line at (pi, 0), I find that the slope is 4/0, which is undefined. So, wouldn't this make the slope of the normal line undefined as well??? Did I miss something?
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