diff options
Diffstat (limited to 'getting_started_with_symbolics/script.rst')
-rw-r--r-- | getting_started_with_symbolics/script.rst | 33 |
1 files changed, 17 insertions, 16 deletions
diff --git a/getting_started_with_symbolics/script.rst b/getting_started_with_symbolics/script.rst index 5df89fa..2123ba0 100644 --- a/getting_started_with_symbolics/script.rst +++ b/getting_started_with_symbolics/script.rst @@ -271,7 +271,7 @@ Evaluating this function f for the value x=pi returns pi/2. .. L22 :: - + f(pi) .. R23 @@ -342,11 +342,12 @@ Pause the video here, try out the following exercise and resume the video. .. R28 -Define the piecewise function. - f(x)=3x+2 - when x is in the closed interval 0 to 4. - f(x)=4x^2 - between 4 to 6. +Define the piecewise function + +:: + + f(x)=3x+2 when x is in the closed interval 0 to 4. + f(x)=4x^2 between 4 to 6. Sum of 1/(n^2-1) where n ranges from 1 to infinity. @@ -359,13 +360,13 @@ Sum of 1/(n^2-1) where n ranges from 1 to infinity. The solution is on your screen -var(’x’) +var('x') h(x)=3*x+2 g(x)= 4*x^2 -f=Piecewise([[(0,4),h(x)],[(4,6),g(x)]],x) +f = Piecewise([[(0,4),h(x)],[(4,6),g(x)]],x) f -var(’n’) +var('n') f=1/(n^2-1) sum(f(n), n, 1, oo) @@ -512,14 +513,14 @@ Find x The solution is on your screen -var(’x’) +var('x') f(x)= x^5*log(x^7) diff(f(x),x,5) -var(’x’) +var('x') integral(x*sin(x^2),x) -var(’x’) +var('x') f=cos(x^2)-log(x) find_root(f(x)==0,1,2) @@ -574,7 +575,7 @@ Pause the video here, try out the following exercise and resume the video. The solution is on your screen -var(’x,y,z’) +var('x,y,z') A=matrix([[x,0,1],[y,1,0],[z,0,y]]) A.det() A.inverse() @@ -630,18 +631,18 @@ Here are some self assessment questions for you to solve And the answers, 1. We define a symbol using the function ``var``.In this case it will be -:: + :: var('y') 2. The value of pi upto precision 5 digits is given as, -:: + :: n(pi,5) 3. The third order differential function can be found out by adding the third argument which states the order.The syntax will be, -:: + :: diff(f(x),x,3) |