Recent content by joess

This is what i get when i take the derivative after using the tan identity: \frac{x^{2}(sec^{2}\theta\frac{d\theta}{dx} - \frac{0.1}{x^{2}})}{-0.1(xsec^{2}\theta\frac{d\theta}{dx} - tan\theta)} = \frac{-1.6}{x^{2}} I still have both \theta and x, so how do I optimize it? Edit: never mind, I...

But when I take the derivative of tan (O+0.1/x) = 1.6/x, or i change it using that tan identity, I get an equation that involves theta, the derivative of theta, and x, and I'm not sure how to optimize that

[SOLVED] problem involving trig functions Homework Statement Your room has a window whose height is 1.5 meters. The bottom edge of the window is 10 cm above your eye level. (See figure) How far away from the window should you stand to get the best view? (“Best view” means the largest visual...

Inflection points should occur where g''(x)=0... And g'(x)=f(x), so g''(x)=f'(x), so they should occur where the slope changes from positive to negative or vice versa?

Homework Statement Find the x-coordinate of each point of inflection of the graph of g on the open interval (-2, 5). Justify your answer Homework Equations The Attempt at a Solution The answer (I think) is x=0 and x=3. Well, the thing is that I asked my tutor how to justify it...

So is it x=(3/2)sec(theta) ?

Homework Statement Homework Equations The Attempt at a Solution I'm not asking for someone to do the question for me but I was just wondering what I'm supposed to sub in. Do I put in as if it was (x^2-9)^(1/2) or do I have to do something differently if there is a constant in front...

Homework Statement A rower in a boat at a point P, 3km from the closest point Q on a straight shorline, wishes to reach a point r which is 5 km along the shoreline from Q. If he can row at 2km/h and walk at 4km/h along the shoreline, how far from point Q should the rower land the boat in order...

Alright, got the first question, thanks. So for the second question I still can't figure out how to get the x-direction forces. Is the x-component of the rotor's force the only x-axis force?

Okay I think I've got the first question, working on it now to see if I get the right answer. And by second one I meant the second question.

So in that case shouldn't the tension pulling on the block be mgsin32? But if I use that I still don't get the right answer.. And in the second one shouldn't the forces on the y-axis just be the weight and the y-component of the force, which is equal to the wieght?

Oh... so the tensions in the x-axis are equal?? Or what? And in the second question, I've got the y-axis forces but how do I get the x-axis forces?

Alright, so the tension on both sides of the cord are equal right? But how do I find the tension?

Okay for the first I got that the force of gravity is 49N, the normal force is 49N as well, the force of friction is 23.03, and obviously there's the force from the cord. What I can't figure out is how to relate the mass of the ball to the force. It's not just as simple as msin32, right? And...

oh sorry... okay for the first one i don't even know where to begin... you don't need to solve the problem but i just want to know how to get started for the second i know that the total of the forces must be 0 because there's no acceleration. i know (or think) that the y-component of F is...