Given y = 3sin(x)
x | 0 | π/2 | π | 3π/2 |
y | 0 | 3 | 0 | -3 |
Graph
Which of the following graphs is the correct plot of y = 3 sin(a)? 5 5+...
Which of the following graphs is the correct plot of y = 3 cos(x)? 3л/2 37/2 31/ 20 -5+ q st 5 4 3 2 1 -1 1/2 JT 31/2 27 -2 -3 -5+ O
7. Let f(x, y)In ()sin(x -y). Determine what the correct contour plot is of f from the choices below Circle the correct answer. (b) (c) (a) 4 (d) (e) y 0 4N -4 -2 -4 0
7. Let f(x, y)In ()sin(x -y). Determine what the correct contour plot is of f from the choices below Circle the correct answer. (b) (c) (a) 4 (d) (e) y 0 4N -4 -2 -4 0
Q3
1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
Which of the following is equivalent to -y-dx + xdy + xz-dz where C is the intersection of y + z = 3 and x' + y = 4, oriented counterclockwise when viewed from above. Hint: Consider the surface S lying inside of the slanted circle. Turn it into an integral over S using Stokes' theorem. 2012 (-psine +8rsin? - 8r) drde s "S*(-7°sino +er+sin? "O 21 2 1 (-r?sin?@ +6rsin 8 - 3) drdo 1, " \ *c+2rsin?aydrde 211...
Plot the given graph by finding the values of y that correspond to the values of x of 0, 1, 2, 3, 4, 5, 6, and 7 on a calculator (Remember, the numbers 0, 1, 2, and so represent radian measure.) on y 2 sin x 0 1 2 3 5 7 X y (Type integers or decimals rounded to the nearest tenth as needed.) Choose the correct graph of y 2 sin x O A. B. C. D. Ay...
Consider f(x,y)= = y sin(y e3*). Then which one of the following is correct Ol fux, y) = - 3 e3x cos(y? e3x) oll fx(x, )= - 3 y e3* cos(y e38) o III. fx(x, y) = – 3 e3x cos(y2 e38) O IV. fx(x,y)= - 3 y2 sin(3 y2 e 3*)
Practice: Plot x vs y when y sin(x), y cosx), y sin (2"x), and y-2 sin(x) when x-1:0.1:10. Use 2 by 2 subplot, sin(x) is in location 1, cos(x) is in location 2, sin(2x) is in location 3 and 2 sin(x) is in location 4 The plot should have: (1) x labe|-"х value", y label = 'y value', legend 'y=sin(x)',' y-cos(x)',' y-sin (2*x)', "y-y-2*sin(x), and title = "X Vs. y, under Font Name of Times New Roman, and Font Size...
6. Plot the 3D surface and contour levels of the following function: z(x, y)cos(2y-x) sin(2x) such that-π x π and-r y < π [10 marks] 7. Create a 5 x 5 random matrix M6 with elements ranging from 10 to 33. Using indexing, define the following arrays: An array containing all elements of M6 that are greater than 3 and smaller 6 marks] An array containing all elements of M6 that are negative or between 29 and 33. 6 marks...
The phase plot for an ODE dy dx =f(y) dydx=f(y) is shown
below.
4 3 2 1 2 1 1 1 1 2 3 (a) Which of these could be a plot of solutions y vs x corresponding to this ODE? 9 2 B. A. 2 2 3 C. D. You can click the graphs above to enlarge them. OA. A ов, в OC. C OD. D E which is choose (b) The smallest equilibrium of this ODE is y-...
Choose option Stable, Unstable, Semistable, Neither
(2 points) The phase plot for an ODE-= f(y) is shown below. dy/dx -2 -1 2 (a) Which of these could be a plot of solutions y vs r corresponding to this ODE? 8 A. You can click the graphs above to enlarge them A. A B. B D. D (b) The smallest equilibrium of this ODE is y and the largest equilibrium of this ODE is y- (c) For which of the following...