Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1x)) Do not put the constant "+c" for the potential in your answer below. f (x, y, z) = -12x*cos(2y)+5z*sin(z) Submit Answer Incorrect. Tries 1/8 Previous Tries Now calculate F. dr where C is the path † (t) = ( 4 cos t, 4 sin t, 3t) for 0 <tst. The line integral equals 0
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1z)) Do not put the constant "+c" for the potential in your answer below. f(x, y, z) = Submit Answer Tries 0/8 Now calculate 18.di where C is the path ř (t) = (4 cos t, 4 sin t, 3t) for 0 <tsa. The line integral equals
sin 0 sec 0 = cos 0 csc 0 4) %3D 7) 6 sin2x - 5 sin x - 1 = 0
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...
1. Solve the following differential equations: a. xy'=y+Vxy x+2y+3 y'= b. 2x – y +5 x+2y+3 y'= x+2y+5 y cos(x+y)+x+y d. sin(x + y) + y cos(x+y)+x+y C. y'=
1. cos 4 x-sinº x = cos 2x 6 6 2. sin x + COS x = 1-3sin ?x cos” x 3. cos 2x = 1-tanx 1+tanx 4. 2sinx cosx = cos(x-y) – cos (x+y)
Solve the given differential equation by undetermined coefficients. y'' − 2y' + 2y = e^2x(cos(x) − 8 sin(x))
y = cos(9.2) dy Find Type sin(x) for sin(x), cos(x) for cos(2), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use (sin(x) y^2 to square sin(x). Do NOT simplify your answer.
Write the expression in terms of sines and/or cosines, and then simplify. 5) sec2x+sin2x 1 + cos2x A) B) 1 +sin x cos x cos2x COS X 1+ sin2 x cos2x C) sinx D) cos2x 6) cotx sin x-tan x cos x A) cos x - sinx 1 B) 1 sin x cos x C) D) sin x + COS X sin x cos x sin x cos2x
Find the limit. lim (5 sin ?x+ 5 cos?y + sec?z) P(7.7,0) lim (5 sin?x+5 cos?y + sec z) = (Simplify your answer.) P-(7.7.0)