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We Helped With This Calculus Assignment: Have A Similar One?
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)) + peπ − arctan(−1)
2. Graph the function f(x) = sin(x2)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.
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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),cos2(t)−sin2(t)i over the t interval [0,2π]. 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 xsin(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 Π1: x − y + z = 4 and Π2: 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 ~r1(t) = h4 + t,−t,3 + 2ti where −6 ≤ t ≤ 0 and ~r2(t) = hs2 − 3,5 − 2s,−1 + si where −1 ≤ s ≤ 3. Find the point(s), if any where the vector functions intersect. And for each point of intersection use plot3(x0,y0,z0,‘.’,‘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.
−x2−y2
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.
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Let f(x,y) = x3 + y3 − 3xy. Graph f(x,y) over the rectangular region R1 = [−1,4] × [−1,4] and its tangent plane at the point (x,y) = (1,2) over the region R2 = [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 − y2 that lies inside the cylinder x2 + y2 = 4. Graph S.
4. Let f(x,y) = ex 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 3x + 2y + 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 = px2 + y2 that lies over the region 1 ≤ x2 + y2 ≤ 9.
