I managed to lay my grubby mitts on Maxima about a month ago (fantastic program), but having no prior knowledge of CAS software or programming I am stuggling trying to figure out how to draw piecewise defined functions either through maxima itself or the GNUplot command line window (I prefer the...
Hi I am stuck on this ques. although i have solved and got the ans but i am still facing a problem.
Find the shortest distance of the point (0,c) from the parabola y=x^2 where 0<= c <= 5
i got the ans right that is
(c-0.25)^0.5
but i have not been able to understand the use of the 0<= c <= 5...
Hi, I was wondering if anyone could help me with this problem.
Calculate the distance y between adjacent maxima in single slit diffraction patterns. Your answer should be given in terms of a, λ and D. (a is the length of the slit, D is the distance between the slit and the screen and λ is...
Greetings, can you guys please help me with my assignment??
I am supposed to find and classify all critical points of the function f(x,y) = (sin x)(cos y)
Now I took the first partials with repsect to x and y and they are (cos x)(cos y) = 0 and (-sin x)(sin y) = 0, respectively.
Now I...
Find the coordinates of a stationary point on the curve y= \frac{16x^3 + 4x^2 + 1}{2x^2} And determine the nature of this points.
How I find the coordinates? I know the second part.
Hello all
You are planning to make an open box from a 30- by 42 inch piece of sheet metal by cutting congruent squares from the corners and folding up the sides. You want the box to have the largest possible volume.
(a) What size square should you cut from each corner? (gice side length of...
Hello all
Given y = -x^4 + 18x^2 + 11 how would you find the intervals where the function is increasing and decreasing? Would you have to find f'(x) and find critical points?
Thanks
Hello all
I have a few questions on applied maxima and minima
1. A company gives you 675 sq. ft of cardboard to construct a rectangular carton with the largest volume. If the carton is to have a square base and an open top, what dimensions would you use?
My Thought Process:
Volume =...
I have u(x,t)=-2xt-x^2 find maximum in region {-2 ≤ x ≤ 2 , 0 ≤ t ≤ 1}
I believe to find the critical point first I have to take the partial derivative with respect to x and t and equate to zero.
Thus
Ux=-2t-2x = 0
Ut=-2x = 0
Thus the only critcal point I find is x=0, t=0.
But the...
Calculus maxima and minima word question...can't understand :(
A rectangular field is going to be enclosed and divided into two separate rectangular areas (not equal either). Find the minimum fencing required if the total area of the field is 1200m^2
(See the picture attached right now)...
A commonly accepted modern SR/Gr statement is "timelike geodesics are maxima of the proper time".
I really shall not dispute with these experts, who are all professors.
But this statement is clearly questionable. It bothered me for a long time.
The H & T experiment and GPS all show the...