Recent content by Giuseppe

Homework Statement For g=Hf = sin (f), use a Taylor expansion to determine the range of input for which the operator is approximately linear within 10 % Homework Equations The taylor series from 0 to 1 , the linearization, is the most appropriate equation The Attempt at a Solution...

I agree with what you're saying. That's why I didn't think the problem was as hard as it I was thinking. No function is explicitly defined.

Homework Statement Linearize the system operator illustrated below by applying a Taylor series expansion. f(t) ----> e^f(t) -----> g(t) Homework Equations I only find the general form of a taylor series relevant. g(x)= sum (0,infinity) of [f^n*(a)*(x-a)^n]/n! The system is...

Hello, I had this problem to do for statistics. I am pretty sure I did the first two parts correct. The third, I am not so sure about. I'd appreciate and guidance. A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume...

My new basis of thought is that the a(n) Fourier coefficient can only be positive 6/npi... is this correct... if figure when you add the negative term, the coefficient becomes zero again. At no point can it be negative. Correct me if I am wrong. Thanks

Sorry about that folks. I posted this in the wrong thread.

Can anyone help me out with this? Find the steady state periodic solution of the following differential equation. x''+10x= F(t), where F(t) is the even function of period 4 such that F(t)=3 if 0<t<1 , F(t)=-3 if 1<t<2. Im basically just having a problem findind the general Fourier...

Can anyone help me out with this? Find the steady state periodic solution of the following differential equation. x''+10x= F(t), where F(t) is the even function of period 4 such that F(t)=3 if 0<t<1 , F(t)=-3 if 1<t<2. Im basically just having a problem findind the general Fourier...

There's a problem in my thermo class that I think I have the right answer for, but the value I get doesn't seem to make sense. The problem reads: Warm air is contained in a piston-cyliner assembly oriented horizontally. The air cools slowly from an intial volume of .003 m^3 to a final volume...

Hey can anyone help me with this question? What is the major product from the acid-catalyzed hydration of 3-methyl-2-pentene? a. 3-methylpentane b. 3-methyl-1-pentanol c. 3-methyl-2-pentanol d. 3-methyl-3-pentanol e. 3-methoxypentane Would the answer by D? My reasoning is that when...

Hey guys. I'm having trouble analyzing a part of this problem. Two conducting, infinite sheets of charge (with thickness a) are fixed perpendicular to the x-axis as shown. The sheet from x = -2a cm to x = -a has a net charge per unit area -s and the sheet from x = +a to x = +2a has a net...

Hello, i was wondering if someone can help me along with solving this differential equation.(x+2y)y'=y I believe you use substitution. Right now I am setting my substitution to v=(x+2y), but then when i follow through with my work, it doesn't simplify down to a seperable or first order linear...

Hey I was wondering if anyone can tell me if i am doing this right. f(x,y) = xy^2 ; R is the circular disk x^2+y^2<=3 So first i took the gradient, since I know a mix/min can exist if the gradient is equal to 0. Gradient of X= y^s Gradient of Y= 2xy So the point (0,0)...

Hello, I was wondering if anyone can help me with this problem. Show that the line with equation 2ax+2by=a^2+b^2 is tangent to the circle with equation 4x^2+4y^2=a^2+b^2 If this is true, wouldn't the derivative of the circle equation be equal to the first equation? Would I just take...

Well, you have a fairly basic question that comes from Netwon's second law of motion. By constant pull, the system has a constant force that is pulling the train along. This means that the system also has constant acceleration, which is given by Netwon's Laws. F = M A You can easily find...