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Sketeh the following paths in C (i) 7: [0, 7] (ii) 7: [0, 1] 3lost+iSint) C,...
dan.curgul&key=72CW8gayu (1 point) Suppose that f(t) is periodic with period -x, x) and has the following...
dan.curgul&key=72CW8gayu (1 point) Suppose that f(t) is periodic with period -x, x) and has the following real Fourier coefficients: ao = 2, = -2, az = 3, az = 3, b, = 4, b2 = 4, bg =0, %3D ... (A) Write the beginning of the real Fourier series of f(t) (through frequency 3): f(t) (B) Give the real Fourier coefficients for the following functions: (1) The derivative f'(t) , a2 = ,as by by b1 %3D (ii) The function...
#7 and #11 please Work Done Along Two Different Paths In Exercises 7-10, calculate the work...
#7 and #11 please
Work Done Along Two Different Paths In Exercises 7-10, calculate the work W = SF.dr done along the two paths C1, C, with parametrizations rı, r2. Also sketch the two paths and their directions. 7, F = { - 1}. 2²), rı = (1, 2), r2 = (tº, t), t in (0.1] 8. F = (-y.rº), rı = (t, 24), r2 = (t*, t), t in (0.1] 9. F= (2-4,1), 11 = (cos, sin ), r2...
question #6 1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1...
question #6
1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the c...
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, cen...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Please complete b & c 4.8. Compute f for the following functions f and paths y:...
Please complete b & c
4.8. Compute f for the following functions f and paths y: (a) f(2)=z2 and y(*) = i + i2,0 s 1. (b) f(z) z and y is the semicircle from 1 through i to -1 (c) f(z) exp(z) and y is the line segment from 0 to a point zo
4.8. Compute f for the following functions f and paths y: (a) f(2)=z2 and y(*) = i + i2,0 s 1. (b) f(z) z and...
1. +0/1 points | Previous Answers TaalmanCalc1 12.5.021 Use the Chain Rule to find the indicated ...
1. +0/1 points | Previous Answers TaalmanCalc1 12.5.021 Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable d when z 12 sin x cos y, x -e, and y - 113 d 12e c 11s396?sin(^sin(113) 2. 0/1 points | Previous Answers TaalmanCalc1 12.5.022. Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable dz when z = 7x10ey, x = sin...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
7. Show that the following functions u(x, y) monic functions v(x, y) and determine f(z) = u(x,y) + iv(x, y) are harmoni...
7. Show that the following functions u(x, y) monic functions v(x, y) and determine f(z) = u(x,y) + iv(x, y) are harmonic, find their conjugate har- as functions of 2. 2x2 2лу — 5х — 22. Зл? — 8ху — Зу? + 2у, (а) и(х, у) (b) и(х, у) (с) и(х, у) (d) u(a, y) 2e cos y 3e" sin y, = 3e-* cos y + 5e-" sin y, = elx cos y - e y sin y, (e) u(x,...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
dan.curgul&key=72CW8gayu (1 point) Suppose that f(t) is periodic with period -x, x) and has the following real Fourier coefficients: ao = 2, = -2, az = 3, az = 3, b, = 4, b2 = 4, bg =0, %3D ... (A) Write the beginning of the real Fourier series of f(t) (through frequency 3): f(t) (B) Give the real Fourier coefficients for the following functions: (1) The derivative f'(t) , a2 = ,as by by b1 %3D (ii) The function...
#7 and #11 please
Work Done Along Two Different Paths In Exercises 7-10, calculate the work W = SF.dr done along the two paths C1, C, with parametrizations rı, r2. Also sketch the two paths and their directions. 7, F = { - 1}. 2²), rı = (1, 2), r2 = (tº, t), t in (0.1] 8. F = (-y.rº), rı = (t, 24), r2 = (t*, t), t in (0.1] 9. F= (2-4,1), 11 = (cos, sin ), r2...
question #6
1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
Please complete b & c
4.8. Compute f for the following functions f and paths y: (a) f(2)=z2 and y(*) = i + i2,0 s 1. (b) f(z) z and y is the semicircle from 1 through i to -1 (c) f(z) exp(z) and y is the line segment from 0 to a point zo
4.8. Compute f for the following functions f and paths y: (a) f(2)=z2 and y(*) = i + i2,0 s 1. (b) f(z) z and...
1. +0/1 points | Previous Answers TaalmanCalc1 12.5.021 Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable d when z 12 sin x cos y, x -e, and y - 113 d 12e c 11s396?sin(^sin(113) 2. 0/1 points | Previous Answers TaalmanCalc1 12.5.022. Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable dz when z = 7x10ey, x = sin...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
7. Show that the following functions u(x, y) monic functions v(x, y) and determine f(z) = u(x,y) + iv(x, y) are harmonic, find their conjugate har- as functions of 2. 2x2 2лу — 5х — 22. Зл? — 8ху — Зу? + 2у, (а) и(х, у) (b) и(х, у) (с) и(х, у) (d) u(a, y) 2e cos y 3e" sin y, = 3e-* cos y + 5e-" sin y, = elx cos y - e y sin y, (e) u(x,...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
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