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The curves C and T are formed by cutting the paraboloid+2-7 with the planes 2 and 9 respectively. Write down the equations and geometric descriptions for C and T The curves C and T are formed by...
let f(x,y)=sqrt(49-x^2-y^2) (A) describe the cross sections of the surface Z=f(x,y) produced by cutting it with...
let
f(x,y)=sqrt(49-x^2-y^2)
(A) describe the cross sections of the surface Z=f(x,y)
produced by cutting it with the planes y=1, y=3, and y=5.
(B) describe the cross sections of the surface in the planes
x=1, x=3, and x=5.
(C) describe the surface z=f(x,y).
Let f(x,y) = 49 - x? -y?. (A) Describe the cross sections of the surface z=f(xy) produced by cutting it with the planes y = 1, y = 3, and y-5, (B) Describe the cross sections of the...
graph the IS and LM curves An economy is initially described by the following equations: C...
graph the IS and LM curves
An economy is initially described by the following equations: C = 60+ 0.8(Y-T) 1 = 120-5 M/P=Y-25r G = 200 T = 200 M = 3000 P-3 a. Derive and graph the IS and LM curves. Use the accompanying diagram to graph the IS and LM curves by placing the following equations: a. Derive and graph the IS and LM curves. Use the accompanying diagram to graph the IS and LM curves by placing...
Consider the system of linear differential equations z,(t)-17/11 z(t) + 9/11 y(t) y,(t)-18/11 z(t...
Consider the system of linear differential equations z,(t)-17/11 z(t) + 9/11 y(t) y,(t)-18/11 z(t) + 38/11 y(t) a) Find the equation of the x-nullcline. Write your answer as an equation in z and y Answer b) Find the equation of the y-nullcline. Write your answer as an equation of z and y Answer. c) The nullclines divide the plane into four regions as illustrated below. 忽聡 2 -2 2 -2 For each of the regions, determine the direction of the...
Question 2 Write down the equations of motion of a bead on a wheel: (a) from...
Question 2
Write down the equations of motion of a bead on a wheel:
(a) from the frame of the wheel
(b) from the frame of the ground
(c) Write the equations of motion of a charged particle q in a
static electric field that is orthogonal to a magnetic field.
Recall: F = q(E + V x B) Lorentz force law. Hint: mimic the
derivation for a charged particle in a magnetic field. You should
get x'' = -2x...
Question 2 Write down the equations of motion of a bead on a wheel: (a) from...
Question 2
Write down the equations of motion of a bead on a wheel:
(a) from the frame of the wheel
(b) from the frame of the ground
(c) Write the equations of motion of a charged particle q in a
static electric field that is orthogonal to a magnetic field.
Recall: F = q(E + V x B) Lorentz force law. Hint: mimic the
derivation for a charged particle in a magnetic field. You should
get x'' = -2x...
and C2 in the xy-planedefined by the parametric equations Consider trajectories on two curves C1:x=t?, y=t?...
and C2 in the xy-planedefined by the parametric equations Consider trajectories on two curves C1:x=t?, y=t? - <t<«. C2: x = 3t, y=t?, - <t<mo. These two trajectories are known to *intersect* at exactly two points. The origin (0,0) is one of them. And there is another one, which we'll call P. Find Pand select the choice below which gives the slope of the tangent line to the first curve at the point P. Note that only ONE of the...
I need help with Number #3 3) (2 marks) Write down analogous expression to equations (5)-(8),...
I need help with Number #3
3) (2 marks) Write down analogous expression to equations (5)-(8), assuming a Galilean transformation: x' = X – ut, y' = y, z' = z and t = t. и д с2 Әt' (5) (6) д дх д ду д дz д at д дх? д ду" д дz! д Y Әt! (7) Ә и- Әr? (8) Hint: you need to use the chain rule. 3) (2 marks) Write down analogous expression to equations...
A. write down the coupled differential equations for 2 springs for 3 masses, i.e. the two...
A. write down the coupled differential equations for 2 springs for 3 masses, i.e. the two outermost masses are only attached to the one in the middle (no walls). B Write down the system matrix equivalent to eq. 2.29 in the textbook. Make sure to identify; A, x, B, and f . C. Calculate eigenvalues, and eigenvectors. D. Find the normal mode (eigenmode) frequencies. E. Write down the full solution as a linear combination of eigenmodes
Write down, but do not solve, the equation for the amounts x(t), y(t) lbs. of salt...
Write down, but do not solve,
the equation for the amounts x(t), y(t) lbs. of salt in the two
tanks respectively as shown below. All valves A, B, C, D are opened
at t=0 minutes.
Question 3 (3 points) Saved Write down, but do not solve, the equation for the amounts x(t), y(t) lbs. of salt in the two tanks respectively as shown below. All valves A, B, C, ID are opened at t 0minutes D 2 gal/min Initial Vol.:...
-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...
let
f(x,y)=sqrt(49-x^2-y^2)
(A) describe the cross sections of the surface Z=f(x,y)
produced by cutting it with the planes y=1, y=3, and y=5.
(B) describe the cross sections of the surface in the planes
x=1, x=3, and x=5.
(C) describe the surface z=f(x,y).
Let f(x,y) = 49 - x? -y?. (A) Describe the cross sections of the surface z=f(xy) produced by cutting it with the planes y = 1, y = 3, and y-5, (B) Describe the cross sections of the...
graph the IS and LM curves
An economy is initially described by the following equations: C = 60+ 0.8(Y-T) 1 = 120-5 M/P=Y-25r G = 200 T = 200 M = 3000 P-3 a. Derive and graph the IS and LM curves. Use the accompanying diagram to graph the IS and LM curves by placing the following equations: a. Derive and graph the IS and LM curves. Use the accompanying diagram to graph the IS and LM curves by placing...
Consider the system of linear differential equations z,(t)-17/11 z(t) + 9/11 y(t) y,(t)-18/11 z(t) + 38/11 y(t) a) Find the equation of the x-nullcline. Write your answer as an equation in z and y Answer b) Find the equation of the y-nullcline. Write your answer as an equation of z and y Answer. c) The nullclines divide the plane into four regions as illustrated below. 忽聡 2 -2 2 -2 For each of the regions, determine the direction of the...
Question 2
Write down the equations of motion of a bead on a wheel:
(a) from the frame of the wheel
(b) from the frame of the ground
(c) Write the equations of motion of a charged particle q in a
static electric field that is orthogonal to a magnetic field.
Recall: F = q(E + V x B) Lorentz force law. Hint: mimic the
derivation for a charged particle in a magnetic field. You should
get x'' = -2x...
Question 2
Write down the equations of motion of a bead on a wheel:
(a) from the frame of the wheel
(b) from the frame of the ground
(c) Write the equations of motion of a charged particle q in a
static electric field that is orthogonal to a magnetic field.
Recall: F = q(E + V x B) Lorentz force law. Hint: mimic the
derivation for a charged particle in a magnetic field. You should
get x'' = -2x...
and C2 in the xy-planedefined by the parametric equations Consider trajectories on two curves C1:x=t?, y=t? - <t<«. C2: x = 3t, y=t?, - <t<mo. These two trajectories are known to *intersect* at exactly two points. The origin (0,0) is one of them. And there is another one, which we'll call P. Find Pand select the choice below which gives the slope of the tangent line to the first curve at the point P. Note that only ONE of the...
I need help with Number #3
3) (2 marks) Write down analogous expression to equations (5)-(8), assuming a Galilean transformation: x' = X – ut, y' = y, z' = z and t = t. и д с2 Әt' (5) (6) д дх д ду д дz д at д дх? д ду" д дz! д Y Әt! (7) Ә и- Әr? (8) Hint: you need to use the chain rule. 3) (2 marks) Write down analogous expression to equations...
Write down, but do not solve,
the equation for the amounts x(t), y(t) lbs. of salt in the two
tanks respectively as shown below. All valves A, B, C, D are opened
at t=0 minutes.
Question 3 (3 points) Saved Write down, but do not solve, the equation for the amounts x(t), y(t) lbs. of salt in the two tanks respectively as shown below. All valves A, B, C, ID are opened at t 0minutes D 2 gal/min Initial Vol.:...
-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...
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