Please answer with all the steps, thank you!![Question 1. (16 points] Solve each of the following IVPs: (a) y + 4y + 4y = -32 cos(4x) + 3e-27, y(0) = -75, Y(0) = - 128](http://img.homeworklib.com/questions/f8831590-90ec-11eb-8586-096b27172b36.png?x-oss-process=image/resize,w_560)
![Question 2. (16 points] Solve each of the following IVPs: 1. x2y – 2xy + 2y = x2, x > 0, y(1) = 4, y(1) = 7. 2. y + y = c](http://img.homeworklib.com/questions/f90ca940-90ec-11eb-870a-070868a6ec13.png?x-oss-process=image/resize,w_560)
![Question 5. [8 points] Consider the following integral: 60.5 1 = $ *r cos (9) dx. (a) Use the Midpoint Rule to estimate the v](http://img.homeworklib.com/questions/f98ec990-90ec-11eb-8323-d92a296ad2ab.png?x-oss-process=image/resize,w_560)

rest
of question 1you can do in the same way... And please ask other
questions separately
Please answer with all the steps, thank you! Question 1. (16 points] Solve each of the...
4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Find the approximate values of 1 when the step size h-: 2 and h 1 , respectively. (b) Find an upper bound of the step size h in order to guarantee that the absolute error (in absolute value) of the estimate is less than 0.001. Hint: 2 sin x cos x = sin (2x). I cos x I " The arguments of all trigonometric...
Could you solve all the problems, please? Thank you
D ie 15 points 50 1. Solve the initial value problem y + 4y' + 40y = cos 3t. y(0) = 0, 7(0) = - 1. 2. Over what interval can you be sure that there is a solution to the initial value problem (tỷ - 36 (t? - 1) / + y =t-. (3) = - 3, 4 (3) = 0 ? Why? 3. Let 41. y2 be solutions to...
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
3) Determine the truth value of each sentence. The domain of each variable consists of all real numbers (2 points) a) vxVy(x+y = y+x) (2 points) b) Vx3y-x-9 ) (2 points) c)x3y(8x-5y 3) (2 points) d)leV(x > 0 + (=logx)) (2 points) e) v i
3) Determine the truth value of each sentence. The domain of each variable consists of all real numbers (2 points) a) vxVy(x+y = y+x) (2 points) b) Vx3y-x-9 ) (2 points) c)x3y(8x-5y 3) (2 points)...
please solve all with detailed steps. thank you!
Find the mass, and the center of mass of the solid cone D with density p(x, y, z) = 1 bounded by the surface z = 4- x2 + y2 and z = 0 1) 2) Evaluate dA where R is the square with vertices (0,0), (1,–1), (2,0), and (1,1) x+y+1 (Hint: use a convenient change of variables) 3) Evaluate the line integral (x - y+ 2z)ds where C is the circle...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
please answer all 3 questions, I need help. thank you
Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
Answer all the questions in
the please
Solve [25 marks] 1. y' - y = 2x² cos(x), y(3) =1 [6 marks] 2. y' – 4y = 1 – e¥y', y(0) = 0 [6 marks] 3. yy' = 2y2 In(x) + 2xy2 – In(x) – - X [6 marks] 4. xy' + y = vxy, y(4) = = 1 [7 marks] End of Assessment
the code in the photo for this I.V.P
dy/dx= x+y. y(0)=1
i need the two in the photo
thank you
New folder Bookmarks G Google dy/dx x+y, y(0)=1 2 h Exact Solution 1.8 Approximate Solution Mesh Points 1.6 -Direction Fied 1.4 1.2 1 0.8 04 0.2 0.3 0.1 0 X CAUsersleskandara\Desktop\New folder emo.m EDITOR PUBLISH VEW Run Section FILE NAVIGATE EDIT Breakpoints Run Run and FL Advance Run and Advance Time BREAKPOINTS RUN 1 - clear all 2 clc 3-...
Can you please do this in matlab
Consider the following function: 4 0 Using the following parameters in your functions: func: the function/equation that you are required to integrate a, b: the integration limits n: the number of points to be used for the integration : Integral estimate A. Write a function capable of performing numerical integration of h(x) using the composite B. write a function capable of performing numerical integration of h(x) using the composite C. Calculate the absolute...