Homework Answers
6 (20 pts). Let F(x, y, z) = x2 + y2 + x2 - 6xyz. (1)...
6 (20 pts). Let F(x, y, z) = x2 + y2 + x2 - 6xyz. (1) Find the gradient vector of F(x, y, z); (2) Find the tangent plane of the level surface F(x, y, z) = x2 + y2 + x2 - 6xyz = 4 at (0, 0, 2); (3) The level surface F(x, y, z) = 4 defines a function z = f(x,y). Use linear approxi- mation to approximate z = = f(-0.002,0.003).
I need help in this please. Use the linear approximation to f(x, y) 4x(5 + y)...
I need help in this please.
Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five decimal places.) % eBook
Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five...
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let...
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Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
Use Newton's Method to approximate a critical number of the function f(z) _ _z8 +-x5 + 4x + 11 ne...
Use Newton's Method to approximate a critical number of the function f(z) _ _z8 +-x5 + 4x + 11 near the point x = 2. Use x,-2 as the initial approximation. Find the next two approximations, 2 and x3, to four decimal places each
Use Newton's Method to approximate a critical number of the function f(z) _ _z8 +-x5 + 4x + 11 near the point x = 2. Use x,-2 as the initial approximation. Find the next two approximations,...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
Use Lagrange multipliers to find the points on the cone 22 - x2 + y2 that...
Use Lagrange multipliers to find the points on the cone 22 - x2 + y2 that are closest to (14, 10, 0). (x, y, z) - ) (smaller z-value) (larger z-value) DETAILS SESSCALC2 11.6.042. MY NOTES ASK YOUR TEAC At what point on the paraboloid y = x + 2? Is the tangent plane parallel to the plane 7x + 4y + 72 - 4? (If an answer does not exist, enter DNE.) (*. V. 2) - (L
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =< x2,-y, z >, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in...
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =< x2,-y, z >, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in the xy plane.
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in...
Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor poly...
Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) Tn(x) when x lies in the given interval. (Round your answer to eight decimal places.)
Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to...
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the...
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the vector field: E-(12yz-22)(22z+3y)j+(3z-22y)k, Calculate the outward flux of E through surface S. That is find 3 z JEdS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JSkipped
s is the surface X2 16...
6 (20 pts). Let F(x, y, z) = x2 + y2 + x2 - 6xyz. (1) Find the gradient vector of F(x, y, z); (2) Find the tangent plane of the level surface F(x, y, z) = x2 + y2 + x2 - 6xyz = 4 at (0, 0, 2); (3) The level surface F(x, y, z) = 4 defines a function z = f(x,y). Use linear approxi- mation to approximate z = = f(-0.002,0.003).
I need help in this please.
Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five decimal places.) % eBook
Use the linear approximation to f(x, y) 4x(5 + y) at (9, 6) to estimate 4 9.01 (5+5.99). (Round your answer to five decimal places.) 3.27931 Find the percent error. (Round your answer to five...
1)
2)
3)
Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
Use Newton's Method to approximate a critical number of the function f(z) _ _z8 +-x5 + 4x + 11 near the point x = 2. Use x,-2 as the initial approximation. Find the next two approximations, 2 and x3, to four decimal places each
Use Newton's Method to approximate a critical number of the function f(z) _ _z8 +-x5 + 4x + 11 near the point x = 2. Use x,-2 as the initial approximation. Find the next two approximations,...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
Use Lagrange multipliers to find the points on the cone 22 - x2 + y2 that are closest to (14, 10, 0). (x, y, z) - ) (smaller z-value) (larger z-value) DETAILS SESSCALC2 11.6.042. MY NOTES ASK YOUR TEAC At what point on the paraboloid y = x + 2? Is the tangent plane parallel to the plane 7x + 4y + 72 - 4? (If an answer does not exist, enter DNE.) (*. V. 2) - (L
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =< x2,-y, z >, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in the xy plane.
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in...
Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) Tn(x) when x lies in the given interval. (Round your answer to eight decimal places.)
Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to...
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the vector field: E-(12yz-22)(22z+3y)j+(3z-22y)k, Calculate the outward flux of E through surface S. That is find 3 z JEdS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JSkipped
s is the surface X2 16...
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