CoCalc -- 2020-11-05-233707.ipynb

Kernel: SageMath 9.1

In [1]:

#F.E. 2.3.3
#a
plot_1=plot(6*x^5, (x, 1.5, 2.5), color="blue")
plot_2=plot(480*x-768, (x, 1.5, 2.5), color="green")
plot_1+plot_2

In [2]:

#b
plot_b=plot(7*x^3+2, (x, 3, 4), color="purple")
plot_b2=plot(257*x-597.375, (x, 3, 4), color="orange")
plot_b+plot_b2

In [3]:

#c
plot_c=plot(sin, (x, -3.5, -2.5), color="red")
plot_c2=plot(-0.989*x-3.107, (x, -3.5, -2.5), color="brown")
plot_c+plot_c2

In [3]:

#d
plot_d=plot(sin(ln(x^3+1)), (x, 3.5, 4.5), color="pink")
plot_d2=plot(-0.378*x+0.652, (x, 3.5, 4.5), color="black")
plot_d+plot_d2

In [20]:

#EX 2.4.4
p=plot(x^2, (x,-10,10), ymin=-10, ymax=10)
plot_point=point([2,4], color="blue")
p+plot_point

In [21]:

#EX 2.4.4
p=plot(x^2, (x,-5,5), ymin=-5, ymax=5)
plot_point=point([2,4], color="blue")
p+plot_point

In [23]:

#EX 2.4.4
p=plot(x^2, (x,-1,2), ymin=-1, ymax=5)
plot_point=point([2,4], color="blue")
p+plot_point

In [24]:

#EX 2.4.4
p=plot(x^2, (x,0,2), ymin=0, ymax=5)
plot_point=point([2,4], color="blue")
p+plot_point

In [25]:

#EX 2.4.4
p=plot(x^2, (x,1.5,2.5), ymin=-1, ymax=5)
plot_point=point([2,4], color="blue")
p+plot_point

In [30]:

#EX 2.4.7
p=plot(abs(x), (x,-10,10), ymin=0, ymax=10)
show(p)

In [31]:

#EX 2.4.7
p=plot(abs(x), (x,-5,5), ymin=0, ymax=5)
show(p)

In [35]:

#EX 2.4.7
p=plot(abs(x), (x,-1,1), ymin=0, ymax=0.5)
show(p)

In [36]:

#EX 2.4.7
p=plot(abs(x), (x,-0.5,0.5), ymin=0, ymax=0.1)
show(p)

In [4]:

plot_c=plot(sin, (x, -10, 10), color="red")
plot_c

In [5]:

plot_c=plot(sin(x), (x, -10, 10), color="red")

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
<ipython-input-5-dbb103d34b56> in <module>()
----> 1 plot_c=plot(sin(x), (x, -Integer(10), -Integer(10)), color="red")

/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/misc/decorators.py in wrapper(*args, **kwds)
    491                 options['__original_opts'] = kwds
    492             options.update(kwds)
--> 493             return func(*args, **options)
    494 
    495         #Add the options specified by @options to the signature of the wrapped
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/plot/plot.py in plot(funcs, *args, **kwds)
   1958 
   1959     if hasattr(funcs, 'plot'):
-> 1960         G = funcs.plot(*args, **original_opts)
   1961 
   1962         # If we have extra keywords already set, then update them
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression.plot (build/cythonized/sage/symbolic/expression.cpp:63573)()
  12100             except NotImplementedError:
  12101                 return self.function(param)
> 12102         return plot(f, *args, **kwds)
  12103 
  12104     def _plot_fast_callable(self, *vars):
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/misc/decorators.py in wrapper(*args, **kwds)
    491                 options['__original_opts'] = kwds
    492             options.update(kwds)
--> 493             return func(*args, **options)
    494 
    495         #Add the options specified by @options to the signature of the wrapped
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/plot/plot.py in plot(funcs, *args, **kwds)
   1977         # if there is one extra arg, then it had better be a tuple
   1978         elif n == 1:
-> 1979             G = _plot(funcs, *args, **kwds)
   1980         elif n == 2:
   1981         # if there are two extra args, then pull them out and pass them as a tuple
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/plot/plot.py in _plot(funcs, xrange, parametric, polar, fill, label, randomize, **options)
   2093     orig_funcs = funcs # keep the original functions (for use in legend labels)
   2094     excluded_points = []
-> 2095     funcs, ranges = setup_for_eval_on_grid(funcs, [xrange], options['plot_points'])
   2096     xmin, xmax, delta = ranges[0]
   2097     xrange=ranges[0][:2]
/ext/sage/sage-9.1/local/lib/python3.7/site-packages/sage/plot/misc.py in setup_for_eval_on_grid(funcs, ranges, plot_points, return_vars)
    132     range_steps = [abs(range[1] - range[0])/(p-1) for range, p in zip(ranges, plot_points)]
    133     if min(range_steps) == float(0):
--> 134         raise ValueError("plot start point and end point must be different")
    135 
    136     options = {}
ValueError: plot start point and end point must be different

In [0]: