## 669 Reputation

19 years, 254 days

## works for me...

Maple 12, both of these work: A := vector([a,b,c]); B := vector([1,2,3]); evalm(A+B); A := Vector([a,b,c]); B := Vector([1,2,3]); evalm(A+B);

## nope...

M := Vector([2,2,2,2,2,2,2]); M := Vector([2,2,2,2,2,2,2]); Result := 7+M; Error, (in rtable/Sum) invalid arguments

## also...

Another feature in Maple is convert( ... , FormalPowerSeries) maybe that will do > f := sin(a*x^2); sin(a*x^2) > convert(f,FormalPowerSeries,x=0); Sum(a*(-a^2)^k*x^(4*k+2)/factorial(2*k+1), k = 0 .. infinity) --- G A Edgar

## another note...

Where you wrote psin(p) you probably want p*sin(p) Or, using the 2D entry, maybe you really do have a multiply, and we cannot see it here. --- G A Edgar

## well......

Assuming J1 means Jx with x=1 ... can you solve the very special case {a=1,b=0,v=0,c=1} ?? Namely BesselK(1, x)*x-(1-x^2)^(1/2)*BesselK(0, x)*BesselJ(1, (1-x^2)^(1/2)) = 0 The solution is about x=0.1190028 but Maple does not solve even that sumbolically. --- G A Edgar

## Perhaps more explanation needed...

diff(u(z),z,z)=g*S/Az The items on the right are NOT functions of z ? So this says the second derivative of u(z) is a certain constant? bc=Az*D(u)(z)=0 So this says the derivative of u is zero [and thus u itself is conatant]? Looks like I cannot see your actual meanings! --- G A Edgar

## further...

the problem narrowed down ... > ineq1 := sqrt(a^2-4*x) < a; ineq1 := (a^2-4*x)^(1/2) < a > solve(ineq1,x) assuming a > 0; {x < 0, (1/4)*a^2 < x} > ineq2 := map(u->u^2,ineq1); ineq2 := a^2-4*x < a^2 > solve(ineq2,x) assuming a > 0; RealRange(Open(0), infinity) --- G A Edgar

## guess...

I guess you mean this... > eq1 := x = sqrt(x^2+1)/x; eq1 := x = (x^2+1)^(1/2)/x > solve(eq1,x); -(1/2)*(2+2*5^(1/2))^(1/2), (1/2)*(2+2*5^(1/2))^(1/2) Do you think this is wrong? --- G A Edgar

## one way...

restart; a := 4/12+5/12^2+11/12^3+0.00001; 0.3744312963 convert(floor(a*12^3),base,12); # checking: digits in reverse order [11, 5, 4] Digits := 1000; 1000 floor(solve(12^k=10^1000)); # 1000 decimal digits will yield about 926 dozenal digits 926 K := 926; 926 convert(floor((sqrt(2.)-1)*12^K),base,12); [0, 0, 11, 7, 6, 9, 3, 1, 4, 4, 6, 1, 8, 0, 8, 6, 2, 11, 8, 10, 8, 8, 4, 5, 1, 11, 4, 8, 3, 11, 10, 0, 6, 9, 2, 9, 6, 8, 6, 2, 3, 5, 9, 11, 7, 1, 0, 1, 11, 3, 6, 5, 10, 9, 11, 4, 9, 6, 2, 0, 10, 8, 7, 6, 3, 3, 8, 6, 3, 2, 4, 1, 9, 6, 2, 2, 3, 5, 3, 4, 3, 1, 3, 7, 6, 11, 8, 6, 9, 11, 8, 8, 9, 4, 7, 9, 9, 3, 11, 5, 4, 1, 9, 7, 11, 0, 1, 8, 1, 10, 10, 7, 9, 2, 11, 7, 9, 9, 6, 9, 2, 2, 1, 4, 10, 0, 4, 4, 9, 2, 9, 3, 9, 9, 10, 2, 7, 5, 7, 10, 4, 4, 4, 10, 8, 4, 9, 4, 3, 6, 1, 3, 8, 3, 5, 0, 11, 2, 4, 10, 8, 9, 10, 7, 6, 1, 1, 10, 5, 2, 3, 3, 3, 3, 5, 3, 9, 2, 8, 8, 10, 0, 6, 11, 7, 2, 10, 3, 7, 3, 6, 1, 11, 4, 3, 7, 9, 9, 11, 11, 2, 8, 7, 7, 7, 9, 6, 8, 1, 1, 9, 0, 10, 10, 3, 8, 2, 11, 10, 11, 10, 4, 3, 3, 4, 5, 5, 6, 8, 5, 2, 4, 3, 2, 6, 8, 5, 7, 5, 10, 0, 9, 10, 8, 1, 11, 3, 9, 9, 1, 8, 8, 6, 5, 2, 8, 11, 3, 5, 11, 7, 4, 2, 10, 7, 9, 4, 4, 2, 7, 6, 11, 4, 3, 10, 10, 0, 10, 9, 5, 11, 9, 5, 5, 4, 8, 2, 11, 0, 0, 7, 2, 6, 11, 3, 2, 2, 7, 1, 3, 11, 8, 7, 4, 6, 9, 11, 3, 5, 9, 9, 10, 4, 11, 5, 11, 8, 4, 8, 5, 5, 10, 5, 3, 6, 5, 3, 10, 10, 6, 10, 1, 1, 5, 6, 11, 4, 2, 4, 10, 10, 8, 10, 11, 6, 3, 10, 1, 5, 1, 6, 5, 3, 9, 4, 7, 4, 9, 8, 8, 11, 10, 4, 1, 7, 6, 3, 6, 4, 8, 1, 6, 9, 0, 2, 10, 11, 5, 1, 10, 8, 10, 0, 5, 11, 1, 0, 4, 0, 7, 0, 8, 11, 11, 4, 7, 10, 2, 3, 3, 2, 11, 2, 3, 0, 1, 1, 8, 8, 11, 11, 6, 11, 0, 0, 5, 9, 9, 8, 3, 5, 4, 10, 9, 5, 5, 6, 9, 10, 6, 10, 3, 11, 11, 6, 5, 1, 5, 3, 0, 4, 9, 5, 4, 2, 6, 3, 2, 7, 4, 9, 5, 6, 10, 4, 7, 11, 0, 5, 2, 11, 10, 5, 4, 9, 11, 0, 1, 9, 0, 6, 9, 7, 0, 8, 5, 10, 0, 10, 9, 10, 4, 8, 4, 6, 4, 7, 9, 9, 6, 3, 8, 0, 1, 8, 7, 9, 1, 1, 10, 5, 11, 5, 2, 0, 11, 11, 1, 0, 1, 1, 5, 5, 8, 9, 7, 5, 1, 6, 1, 7, 11, 0, 0, 3, 7, 2, 7, 3, 10, 5, 6, 7, 7, 3, 5, 0, 1, 10, 5, 1, 1, 9, 5, 0, 5, 10, 2, 7, 9, 9, 0, 0, 11, 6, 8, 11, 8, 4, 2, 9, 10, 1, 3, 7, 10, 10, 6, 4, 3, 5, 6, 3, 1, 7, 4, 5, 1, 0, 5, 2, 0, 6, 5, 11, 10, 9, 0, 4, 6, 7, 8, 2, 7, 2, 10, 3, 8, 3, 6, 0, 0, 11, 2, 3, 4, 6, 6, 7, 0, 2, 6, 10, 1, 7, 8, 0, 8, 0, 7, 2, 5, 6, 5, 6, 5, 2, 4, 0, 1, 4, 1, 5, 0, 3, 9, 6, 3, 9, 5, 1, 5, 2, 4, 5, 0, 3, 7, 3, 11, 3, 10, 3, 5, 9, 2, 6, 3, 3, 1, 11, 0, 6, 5, 1, 0, 9, 6, 10, 1, 9, 1, 10, 1, 8, 6, 7, 3, 5, 4, 11, 6, 7, 6, 8, 9, 5, 0, 11, 1, 5, 2, 3, 7, 3, 3, 10, 0, 1, 3, 10, 2, 5, 3, 2, 10, 11, 9, 1, 6, 4, 10, 8, 9, 5, 9, 7, 10, 5, 5, 10, 9, 6, 2, 6, 3, 1, 0, 6, 2, 6, 9, 7, 11, 4, 5, 3, 4, 10, 8, 2, 11, 7, 1, 11, 7, 1, 3, 4, 1, 10, 3, 11, 7, 2, 10, 11, 8, 5, 7, 5, 10, 4, 4, 8, 2, 4, 11, 10, 1, 2, 11, 8, 10, 3, 1, 0, 9, 1, 2, 10, 8, 2, 3, 9, 4, 3, 3, 2, 7, 0, 10, 6, 5, 6, 11, 4, 0, 11, 9, 11, 7, 3, 2, 7, 9, 11, 9, 6, 3, 7, 4, 9, 8, 10, 8, 5, 3, 10, 2, 4, 3, 2, 8, 2, 4, 6, 11, 8, 5, 9, 6, 1, 8, 8, 6, 0, 10, 9, 1, 4, 5, 5, 11, 1, 2, 8, 4, 3, 4, 3, 0, 3, 1, 5, 9, 10, 3, 7, 1, 10, 8, 9, 9, 10, 0, 8, 3, 2, 4, 3, 11, 7, 8, 3, 1, 0, 4, 10, 9, 7, 11, 8, 11, 9, 5, 5, 11, 0, 5, 6, 3, 6, 5, 4, 0, 5, 3, 5, 8, 6, 8, 4, 5, 8, 0, 11, 4, 0, 7, 7, 3, 7, 5, 8, 11, 7, 0, 10, 0, 7, 1, 9, 7, 11, 4] So: dozenal sqrt(2) is 1.4E79170X07E8573... where X=ten, E=eleven --- G A Edgar

## expression sequence...

Fnction solve can return an expression sequence like this 3,4,5 if it found these three solutions. In your case, Maple found no solutions, so the answer returned is the empty expression list. --- G A Edgar

## wrong...

Maple does not do this by default, because it is WRONG if things are not positive ... f := -1/n/n1*(-n1*n*K^2+K^2*n1^2+n1*n^2*L-L*n*n1^2)^(1/2)+z: f1 := map(simplify,f,symbolic): evalf(subs({n1=-1,n=1,K=0,z=0,L=1},f=f1)); 1.414213562*I = -1.414213562*I --- G A Edgar

## noted...

I'm teaching multidimensional calculus this term, and note this inconsistency among textbooks. Perhaps (r,theta,phi) was considered bad since it is "left handed" (negative Jacobian), so to repair it some textbook author switched to (r,phi,theta) ... and now there are different conventions in different textbooks. And (it seems) Maple developers did not all use the same textbook... --- G A Edgar

## elliptic integral...

The exact value will be an elliptic integral. What arc length formula (presumably an integral) do you want to use? Parametric form or perhaps solve for y and do the top half ? --- G A Edgar

## well ......

We don't see those screenshots. Their URLs seem to refer to C: so I assume they are on your own hard disk and not here at mapleprimes. You are not solving and equation, but an inequality. Also, use proper Maple syntax with parentheses, like 10^(-5) and 1/(n+1) --- G A Edgar

## help...

Presumably you want help, and not merely a solution. First ... For production level x, what would the profit be? Some formula in terms of x that you have to find. Second ... Given a formula for the profit, how do you find the maximum? --- G A Edgar
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