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Given the "functional" P(u) = [] [4 (8) - d. find its "first variation" (what the...
solve problem #1 depending on the given information Consider the following 1D second order elliptic equation with Dirichlet boundary conditions du(x) (c(x)du ) = f(x) (a $15 b), u(a) = ga, u(b) = gb...
solve problem #1 depending on the given information
Consider the following 1D second order elliptic equation with Dirichlet boundary conditions du(x) (c(x)du ) = f(x) (a $15 b), u(a) = ga, u(b) = gb dr: where u(x) is the unknown function, ga and gb are the Dirichlet boundary values, c(x) is a given coefficient function and f(x) is a given source function. See the theorem 10.1 in the textbook for the existence and uniqueness of the solution. 1.1 Weak Formulation...
Physics 102 Extra Credit Legendre Polynomials Problem The following problem is worth 5 ertra credit points!...
Physics 102 Extra Credit Legendre Polynomials Problem The following problem is worth 5 ertra credit points! Consider a disk of radius R carrying charge q (un formly distributed) and lying in the ry plane as seen in the diagram. We want to determine the potential V(r,0) everywhere outside the disk, for r R (because of the azimuthal symmetry the potential doesnt depend on φ). We have seen earlier that the potential along the z-axis (when 0-0) is gr R2 V(ro-ro...
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y...
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...
Help, please !!! Answer all questions please. Thank u so much!!! 8 Given the graph of...
Help, please !!! Answer all questions please. Thank u so
much!!!
8 Given the graph of f(x) below find f(x)dx. 71 6 5 4 3 2 1 6 8 9 - 1 -2 Find the exact value and no decimal entries. f(x)dx = 1 Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr)...
Question 2 3 pts Find the electric potential energy, U, of a test charge, 4. =...
Question 2 3 pts Find the electric potential energy, U, of a test charge, 4. = 34.0 pc, placed at point p (at thecenter of the rectangle) as shown below. Take k = 9.0 x 109 Nm2/C2 1.0 UC = 10-6 C. Please round your answer to two decimal places. 9,- -30 uc 9.- -10uc 1.2 m 9--2000 1.6 m 9-40C Equations: First, determine the electric potential at p V, =* +++) 11, 12, 13, 14 are the distances of...
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38]...
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38] 2. For this problem, use matrices A = La ), B=1 _Jandc=lo 9]. Suppose that the matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A. 3. Find a number a so that the vectors v = [3 2 a) and w = [2a -1 3] are orthogonal (perpendicular). 4. For the vector...
6.32 Theorem. If k and n are natural numbers with (k, d(n)) =I, then there exist positive integers u and v satisfving k...
6.32 Theorem. If k and n are natural numbers with (k, d(n)) =I, then there exist positive integers u and v satisfving ku=(n)u The previous theorem not only asserts that an appropriate exponent is always availahle, but it also tells us how to find it. The numbers u and are solutions lo a lincar Diophantine cquation just like those we studied in Chapter 6.33 Exercisc. Use your observations so far to find solutions to the follow ing congruences. Be sure...
8. You are given two boxes, one contains nuts and the other contains bolts. Below is...
8. You are given two boxes, one contains nuts and the other contains bolts. Below is a picture of a bolt. The D indicates Below right is a side and overhead picture of a nut. The the diameter of the bolt D indicates the diameter of the hole INSIDE the nut. ATI RODI c ISO METRIC AND WASHERS A bolt is supposed to fit inside a nut. On the right is a picture of a bolt properly fitting inside a...
Use the following question to comment on its answer below: What are some ways to identify...
Use the following question to comment on its answer below: What are some ways to identify that a quadratic term is needed in a multiple regression model? Comment on the importance of using quadratic terms in models when it is determined that one is in fact needed. Suppose you are given a quadratic model of the form: y=β_0+β_1 x+β_2 x^2+ε Is the model valid for all values of x? Use examples to support your conclusions. Here the answer of the...
I ONLY NEED HELP WITH "C". I PUT THE OTHER STUFF UP HERE IN CASE THE BACKGROUND INFO WAS NEEDED ...
I ONLY NEED HELP WITH "C". I PUT THE OTHER STUFF UP HERE IN CASE
THE BACKGROUND INFO WAS NEEDED
I know that the answer is here. What I need help with isn't so
much getting the answer as it is understanding how they got the
answer.
1. Where did they find the TC' from? Also, where did the
(qs^2)/8 come from? Where did that first TC equation come from in
general? I'm looking for its origins in the question,...
solve problem #1 depending on the given information
Consider the following 1D second order elliptic equation with Dirichlet boundary conditions du(x) (c(x)du ) = f(x) (a $15 b), u(a) = ga, u(b) = gb dr: where u(x) is the unknown function, ga and gb are the Dirichlet boundary values, c(x) is a given coefficient function and f(x) is a given source function. See the theorem 10.1 in the textbook for the existence and uniqueness of the solution. 1.1 Weak Formulation...
Physics 102 Extra Credit Legendre Polynomials Problem The following problem is worth 5 ertra credit points! Consider a disk of radius R carrying charge q (un formly distributed) and lying in the ry plane as seen in the diagram. We want to determine the potential V(r,0) everywhere outside the disk, for r R (because of the azimuthal symmetry the potential doesnt depend on φ). We have seen earlier that the potential along the z-axis (when 0-0) is gr R2 V(ro-ro...
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...
Help, please !!! Answer all questions please. Thank u so
much!!!
8 Given the graph of f(x) below find f(x)dx. 71 6 5 4 3 2 1 6 8 9 - 1 -2 Find the exact value and no decimal entries. f(x)dx = 1 Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr)...
Question 2 3 pts Find the electric potential energy, U, of a test charge, 4. = 34.0 pc, placed at point p (at thecenter of the rectangle) as shown below. Take k = 9.0 x 109 Nm2/C2 1.0 UC = 10-6 C. Please round your answer to two decimal places. 9,- -30 uc 9.- -10uc 1.2 m 9--2000 1.6 m 9-40C Equations: First, determine the electric potential at p V, =* +++) 11, 12, 13, 14 are the distances of...
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38] 2. For this problem, use matrices A = La ), B=1 _Jandc=lo 9]. Suppose that the matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A. 3. Find a number a so that the vectors v = [3 2 a) and w = [2a -1 3] are orthogonal (perpendicular). 4. For the vector...
6.32 Theorem. If k and n are natural numbers with (k, d(n)) =I, then there exist positive integers u and v satisfving ku=(n)u The previous theorem not only asserts that an appropriate exponent is always availahle, but it also tells us how to find it. The numbers u and are solutions lo a lincar Diophantine cquation just like those we studied in Chapter 6.33 Exercisc. Use your observations so far to find solutions to the follow ing congruences. Be sure...
8. You are given two boxes, one contains nuts and the other contains bolts. Below is a picture of a bolt. The D indicates Below right is a side and overhead picture of a nut. The the diameter of the bolt D indicates the diameter of the hole INSIDE the nut. ATI RODI c ISO METRIC AND WASHERS A bolt is supposed to fit inside a nut. On the right is a picture of a bolt properly fitting inside a...
I ONLY NEED HELP WITH "C". I PUT THE OTHER STUFF UP HERE IN CASE
THE BACKGROUND INFO WAS NEEDED
I know that the answer is here. What I need help with isn't so
much getting the answer as it is understanding how they got the
answer.
1. Where did they find the TC' from? Also, where did the
(qs^2)/8 come from? Where did that first TC equation come from in
general? I'm looking for its origins in the question,...
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