Question

Use Matlab plots to determine how many real-valued solutions sin 2x = x has.

Answer #1

**Please upvote :)**

**clc;clear all
x=-10:0.01:10; %Taking x in range of -10 to 10
y1=x; %Value of y1
y2=sin(2*x);
plot(x,y1,'-r',x,y2,'-b','LineWidth',2) %Plots the curve sin
2x=x
xlabel('x');ylabel('y');legend('y=x','y=sin 2x') %Adds label and
legend
grid on
%Clearly the graph intersects at 3 points, so 3 solutions exist to
x=sin2x**

Use MATLAB to determine how many elements are in the array
sin(-pi/2):0.05:cos(0).
Use MATLAB to determine the 10th element.

Write a Matlab script that plots the following functions over 0
≤ x ≤ 5π:
f1(x) = sin2 x − cos x,
f2(x) = −0.1 x 3 + 2 x 2 + 10,
f3(x) = e −x/π ,
f4(x) = sin(x) ln(x + 1).
The plots should be in four separate frames, but all four frames
should be in one figure window. To do this you can use the subplot
command to create 2 × 2 subfigures.

1.Find all solutions on the interval [0, 2π)
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Determine how many terms are needed to approximate sin(3) within
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Use Descartes' Rule of Signs to determine how many positive and
how many negative real zeros the polynomial can have. Then
determine the possible total number of real zeros. (Enter your
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Matlab equation solve code
please show me the code for how to solve x=1-e^-2x in Matlab
with explanation
show me the code and result

Determine conditions on a, b and c so that the following system
has solutions:
2x + y + z = a
x − 2y + z = b
3x − y + 2z = c
Can you please show all the steps to help me
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Use undetermined coefficients to solve the differential
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y'' + y = x sin 2x

For a real number "a", consider the system of equations:
x+y+z=2
2x+3y+3z=4
2x+3y+(a^2-1)z=a+2
Which of the following statements is true?
A. If a= 3 then the system is inconsistent.
B. If a= 1 then the system has infinitely many solutions.
C. If a=−1 then the system has at least two distinct
solutions.
D. If a= 2 then the system has a unique solution.
E. If a=−2 then the system is inconsistent.

Show that the equation f(x) = sin(x) - 2x = 0 has exactly one
solution on the interval [-2,2]

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