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Problem 7. (20 pts) A) Find all of the values of θ for which sin θ-1/4....
All of them please if you can 6. Solve the Dirichlet problem 0<r<3 la(3.0) = 1-cos0+ 2 sin 20. θ < 2π 0 7. Solve the Dirichlet problem lu(3,0) = 3-2 sin θ + cos 20, θ 0 2π 8. Solve the Di...
All of them please if you can
6. Solve the Dirichlet problem 0<r<3 la(3.0) = 1-cos0+ 2 sin 20. θ < 2π 0 7. Solve the Dirichlet problem lu(3,0) = 3-2 sin θ + cos 20, θ 0 2π 8. Solve the Dirichlet problem a(3,0) 2 + sin 20, 0 θ<2π
6. Solve the Dirichlet problem 0
Question.4. Find the modulus and argument of sin (θ)-ics() -cos (θ)-i sin (0) COS Given that...
Question.4. Find the modulus and argument of sin (θ)-ics() -cos (θ)-i sin (0) COS Given that l-W3 is a root of the equation 2ะ' + az2 +bz + 4-0, find the values of the real numbers, a and b
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms...
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms is equivalent to y? Briefly justify your answers. 1. (2 m) cos((10/s)1+π/4) 2. (2 m) cos((10/s) t +3r/4) 3. (2 m) cos((10/s) t-r/4) 4. (2 m) sin(10/s)t +/4+4T) 5.-(2 m) sin ((10/s)t+/4-3m) 6. (-2m) oos((10/s) t+12r/4) 7. (VZn) [cos((10/s) t) + sin((10/s)t)] 8. (2m) cos ((-10/s)t+r/4) m) 1-cos((10/s) t + π)-sin((10/s) t-π
Verify that Prn (cos θ) solves sin θΟθ (sin ea, Θ) + (E(1 + 1) sin2 θ-m2) Θ 0. Use that pr(z)-(1-z2 )T (4), Pr(r) with Pr(z) a Legendre polynomi 1 Verify that Prn (cos θ) solves sin θΟθ (sin ea,...
Verify that Prn (cos θ) solves sin θΟθ (sin ea, Θ) + (E(1 + 1) sin2 θ-m2) Θ 0. Use that pr(z)-(1-z2 )T (4), Pr(r) with Pr(z) a Legendre polynomi 1
Verify that Prn (cos θ) solves sin θΟθ (sin ea, Θ) + (E(1 + 1) sin2 θ-m2) Θ 0. Use that pr(z)-(1-z2 )T (4), Pr(r) with Pr(z) a Legendre polynomi 1
Problem 124: Study r = sin(a0) for 0-θく2π. Îfa E lo.5, 31 then which values of a give us a close...
Problem 124: Study r = sin(a0) for 0-θく2π. Îfa E lo.5, 31 then which values of a give us a closed curve. I recommend using Desmos and the slider option to explore the graphs with technology. Problem 125: Find the polar form of the equation хуз-tan(y/x) 3. Problem 126: Find the equation of the tangent line to the curve r2 -3r +2 0 at the point
Problem 124: Study r = sin(a0) for 0-θく2π. Îfa E lo.5, 31 then which...
Problem 4 -π/3) in quadrature form. 2π A) Express the function Y1 = (2 m) sin(...
Problem 4 -π/3) in quadrature form. 2π A) Express the function Y1 = (2 m) sin( 5-x B) Express the function y3=(4m)cos(10-)-(2m) sin( nx) incosine form. 10 in sine form. C) Express the function y3= (4 m) cos(nz)-(2 m) sin(nz) in sine form. C) Express the function y3= (4 m) cos(-x )-(2 m) sin(-x
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slo...
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2.
Problem 3 (12 points) The curve with parametric equations...
Problem 5. Prove that parametric equations: x a-cosh(s) (a > 0) or back half(a < 0) of hyperboloid of one she...
Problem 5. Prove that parametric equations: x a-cosh(s) (a > 0) or back half(a < 0) of hyperboloid of one sheet: Χ t), y b-sinh(s) cos (t) zc-sinh(s) sin( t), (x,y,z) lies on the front half L" a2 b2 c2 Problem 6 What graph of this Compute the arc length : rit)- < sin t, cos t, 2Vt', when 0<t < function: a) Compute the arc length : re)-3cos(9) and 0 < θ < π/2 b) Problem 7. Find parametric...
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y)...
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
All of them please if you can
6. Solve the Dirichlet problem 0<r<3 la(3.0) = 1-cos0+ 2 sin 20. θ < 2π 0 7. Solve the Dirichlet problem lu(3,0) = 3-2 sin θ + cos 20, θ 0 2π 8. Solve the Dirichlet problem a(3,0) 2 + sin 20, 0 θ<2π
6. Solve the Dirichlet problem 0
Question.4. Find the modulus and argument of sin (θ)-ics() -cos (θ)-i sin (0) COS Given that l-W3 is a root of the equation 2ะ' + az2 +bz + 4-0, find the values of the real numbers, a and b
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms is equivalent to y? Briefly justify your answers. 1. (2 m) cos((10/s)1+π/4) 2. (2 m) cos((10/s) t +3r/4) 3. (2 m) cos((10/s) t-r/4) 4. (2 m) sin(10/s)t +/4+4T) 5.-(2 m) sin ((10/s)t+/4-3m) 6. (-2m) oos((10/s) t+12r/4) 7. (VZn) [cos((10/s) t) + sin((10/s)t)] 8. (2m) cos ((-10/s)t+r/4) m) 1-cos((10/s) t + π)-sin((10/s) t-π
Verify that Prn (cos θ) solves sin θΟθ (sin ea, Θ) + (E(1 + 1) sin2 θ-m2) Θ 0. Use that pr(z)-(1-z2 )T (4), Pr(r) with Pr(z) a Legendre polynomi 1
Verify that Prn (cos θ) solves sin θΟθ (sin ea, Θ) + (E(1 + 1) sin2 θ-m2) Θ 0. Use that pr(z)-(1-z2 )T (4), Pr(r) with Pr(z) a Legendre polynomi 1
Problem 124: Study r = sin(a0) for 0-θく2π. Îfa E lo.5, 31 then which values of a give us a closed curve. I recommend using Desmos and the slider option to explore the graphs with technology. Problem 125: Find the polar form of the equation хуз-tan(y/x) 3. Problem 126: Find the equation of the tangent line to the curve r2 -3r +2 0 at the point
Problem 124: Study r = sin(a0) for 0-θく2π. Îfa E lo.5, 31 then which...
Problem 4 -π/3) in quadrature form. 2π A) Express the function Y1 = (2 m) sin( 5-x B) Express the function y3=(4m)cos(10-)-(2m) sin( nx) incosine form. 10 in sine form. C) Express the function y3= (4 m) cos(nz)-(2 m) sin(nz) in sine form. C) Express the function y3= (4 m) cos(-x )-(2 m) sin(-x
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2.
Problem 3 (12 points) The curve with parametric equations...
Problem 5. Prove that parametric equations: x a-cosh(s) (a > 0) or back half(a < 0) of hyperboloid of one sheet: Χ t), y b-sinh(s) cos (t) zc-sinh(s) sin( t), (x,y,z) lies on the front half L" a2 b2 c2 Problem 6 What graph of this Compute the arc length : rit)- < sin t, cos t, 2Vt', when 0<t < function: a) Compute the arc length : re)-3cos(9) and 0 < θ < π/2 b) Problem 7. Find parametric...
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
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