- Details
- Parent Category: Mathematics Assignments' Solutions

# We Helped With This Calculus Assignment: Have A Similar One?

Category | Math |
---|---|

Subject | Calculus |

Difficulty | College |

Status | Solved |

More Info | Do My Calculus Homework |

## Short Assignment Requirements

## Assignment Description

**Math 203 MatLab
Assignment #1 Due: No later than
May 15, 2018**

**INSTRUCTIONS**: Only a physical copy will be
accepted. If you need help for any of the questions you are welcome seek help.
You may use *html *or *pdf *format to submit your work. Add your name
and be as clear as possible.

1. Evaluate the
expression correct up to 10 digits after the decimal point: sinh(log(2)) + ^{p}*e ^{π }*− arctan(−1)

2. Graph the
function *f*(*x*) = sin(*x*^{2})cos(*x*) together
with its derivative *f *^{0}(*x*) over the interval [−*π,π*].
The *x*-axis tick marks should be at the values −*π,*−*π/*2*,*0*,π/*2
and *π*. You should add a title to your graph, make the axis equal, add a
legend, and add grids.

3.

Find point

*D*to form parallelogram ABCD given the points

*A*(1

*,*2),

*B*(4

*,*0), and

*C*(2

*,*3). Note that the orientation of the parallelogram is

*A*→

*B*→

*C*→

*D*→

*A*from the top view. After that plot these points and connect them to form the parallelogram (you may use

**axis equal**). Compute the area of the parallelogram using MatLab and title your parallelogram to be its area.

4. Graph the
vector function *~r*(*t*) = h5cos(*t*)*,*3sin(*t*)*,*cos^{2}(*t*)−sin^{2}(*t*)i
over the *t *interval [0*,*2*π*]. Find an equation of the line
tangent to the vector function at *t *= *π/*4 and graph this in the
same figure.

5. Graph the
implicit function *x*sin(*y*) + *y *cos(*x*) = 1 on the *xy*-plane
over the rectangle *R *= [−6*,*6] × [−6*,*6]. Change the color
of the graph to red, the line style to ‘:’, and the line width to 2.

6. Consider the
planes Π_{1}: *x *− *y *+ *z *= 4 and Π_{2}: *x *− *y *− *z *= 6. Graph the planes over the rectangle *R *=
[0*,*6] × [0*,*6]. Find their line of intersection and add this to
your figure. For the line of intersection change its color to red and its width
to 3. Set the view for your graph to be **view([1,1,-2])**

7. Plot the two
vector functions *~r*_{1}(*t*) = h4 + *t,*−*t,*3 +
2*t*i where −6 ≤ *t *≤ 0 and *~r*_{2}(*t*) = h*s*^{2 }− 3*,*5 − 2*s,*−1 + *s*i where −1 ≤ *s *≤ 3. Find the
point(s), if any where the vector functions intersect. And **for each **point
of intersection use **plot3(***x*_{0}*,y*_{0}*,z*_{0}**,****‘.’,‘MarkerSize’,12,‘Color’,‘red’) **to plot it.
You may change the color, you may add a title. You must add grids on the
background, select the view to be **view([-1,1,1])**, and label the three
coordinate axes.

## Assignment Description

**Math 203 MatLab
Assignment #2 Due: No later than
May 15, 2018**

**INSTRUCTIONS**: Only a physical copy will be
accepted. If you need help for any of the questions you are welcome seek help.
You may use *html *or *pdf *format to submit your work. Add your name
and be as clear as possible.

−*x*^{2}−*y*^{2}

1. Suppose that *f*(*x,y*) = *xe *. Plot a contour map
of *f*(*x,y*) over the square region *R *= [−2*,*2]×[−2*,*2].
Make sure that there are **exactly **9 labeled level curves in your plot and
add a color-bar. You may use values from −0*.*4 to 0*.*4 with a level
step size of 0*.*1.

2.

Let

*f*(

*x,y*) =

*x*

^{3 }+

*y*

^{3 }− 3

*xy*. Graph

*f*(

*x,y*) over the rectangular region

*R*

_{1 }= [−1

*,*4] × [−1

*,*4] and its tangent plane at the point (

*x,y*) = (1

*,*2) over the region

*R*

_{2 }= [0

*,*2] × [1

*,*3]. Make sure to color the plane green, and use view([−3

*,*1

*,*−1])

3. Let *S *represent
the part of the parabolic cylinder *z *= 5 − *y*^{2 }that
lies inside the cylinder *x*^{2 }+ *y*^{2 }= 4. Graph *S*.

4. Let *f*(*x,y*)
= *e ^{x }*sin(

*x*) on the interval 0 ≤

*x*≤

*π*. Let

*S*represent the surface obtained from revolving

*f*(

*x*) about the

*y*-axis. Graph

*S*and set use view([0

*,*2

*,*−1]).

5. Let *S *represent
the part of the plane 3*x *+ 2*y *+ *z *= 12 that lies in the
first octant. Graph *S*. You may need to parametrize the region *R *on
the *xy*-plane. Use view([3*,*−2*,*1])

6. Parametrize and graph *S *which represents the part of the
surface *z *= ^{p}*x*^{2 }+ *y*^{2 }that lies over the region 1 ≤ *x*^{2 }+ *y*^{2 }≤ 9.