## 185 Reputation

3 years, 318 days

## solving inequalities...

Maple 2019

Why won't Maple solve any of these inequalities for Q?

At first I tried solving the system of equations, but then I tried solving the inequalities individually for Q, and those too could not be solved by Maple.  What am I doing wrong?

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## grab term under the radical in an expres...

Maple

I need to use the fact that the expression under the radical in a larger expression is >0.

How do I programmaticaly "grab" the radical term to include it in an equation such as for example:

eq1:= b^2-4 a c>0

where lhs term would have come from a previous derivation or solution ?

Thank you...

## simplifying expression into more meaning...

Maple 2019

How can I get Maple to simplify expressions into more meaningful forms?

For example,

xc1 := -(2*Q*R1 + sqrt(4*Q^2*R1*RL - R1^2 + 2*R1*RL - RL^2))*R1/(4*Q^2*R1 + R1 - RL)

The numerator, under the radical, is more meaningful as sqrt(4 Q^2 R1 RL-(R1-RL)^2).

Similarly, the denominator can be simplified to Rs(4 Q^2+1)-RL.

How do I get Maple to get me there?

## variable substitutions...

Maple 2019

I have Maple solve a system of equations.  I then want to assign the result to the different variables for use later in the worksheet.  How do I do this?

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First, all I want to do is assign the solution value for C1 to C1.  Not being able to do this, I try to assign C1 to "different" variable c1, but the assignment is C1~=.66667* Ceq, instead of just the value of C1.  Later, I then try to substitute the value of Ceq, to get the solution for c1, and instead of just getting the value, I get  that C1= 13.33x10^-8 is assigned to C1sol, again instead of just the value, 13.33x10^-8.  How do I just assign the values to these variables instead of the expressions?

Thank you.

## complete simplification...

Maple 2019

How do I get Maple to simplify:

Io := I Cp Vin L1/(M sqrt(Cp L1))

to :  I sqrt(L1 CP) Vin/ M  ?

Furthermore, if  w = 1/sqrt(L1 *CP),  how do I get Maple to display the solution or the simplification as:

I*Vin/(w M) ?

I've t ried multiple substitutions and simplifications to no avail.

Thank you.

Jorge

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