Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and find the point where ?=?/3.

Q: Evaluate the surface integral fof the scalar feld 1-62+4 where S is the surface parametrised by (u,…

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Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…

A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…

Q: Solve (xy + xV2 + y+ v2) dx + (x²y + y – x²/2 – v2) dy = 0 -

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Q: Consider the discrete-time SEIR epidemic model Sn+1 - S, + A - 8 - uS. S.In S„In En+1 - E, + B (u+…

A: We will use the basic knowledge of ordinary differential calculus for linear, homogeneous ODE.…

Q: series solution of differential equation NO 7

A: Here we can use the generating function for Legendre’s polynomial to prove the relation…

Q: (c) It turns out that you cannot express that integral in terms of functions you learned so far. So…

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Q: what is the g(x) i need that answered

A: Solution

Q: {{u v w]':u + v = 0 and u – 2w = 0} 4. Find an orthonormal basis for the subspace S of R".

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Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Let II, be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x-0.…

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Q: C. Find the moment of inertia about x-axis of a thin plate bounded by parabola (x = y- y) and line…

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Q: Determine whether the action results in independent or dependent event. Roll a standard number cube.…

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Q: 3. Consider the ra greater across z =1-r² - y² plane and the s and a paramet

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Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

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Q: fined the genral solution 8) (D + D,)u = 0

A: Solution of the higher order homogeneous partial differential equation.

Q: Calculate the following double integral a(x+y)dxdy-[ where 2 = {(x, y) :0sys 2x+2,0 <x<3} Submit the…

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Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

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Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: Let V be the space spanned by f 1= sin x and f 2= cos x. (a) Show that gj = 2sin x+ cos x and g2…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…

Q: Endthe nadiuy vt convergenue fserser 多 2m 26

A: Radius of converges of power series

Q: Select all the real numbers Mamong the choices below such that the two planes given by and r. 2 - M…

A: We can calculate using the given information

Q: iv. lim h(a) =L v. lim h(r) = vi. lim h(x) = T -00

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: What is L in this problem?

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Q: If a line is parallel to the vector 2i + 7j + 10k and passes through the point P = (6, 10, 5), then…

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Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy dx

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Q: sinx cas y dy - cosk Ring dx = x?sinx sin y dx %3D

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Q: 3) A local grocery store is selling lots of toilet paper. Every time they looked they had sold half…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: if it exact find the general solution of the given equation

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Q: What method was used in step 2? Any references for the method used?

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Q: az and dx dz Suppose z is a function of z and y, and tan Vy2 +x² = z*e®y. Solve for dy

A: The partial derivative of a multivariable function with respect to a variable is the derivative of a…

Q: Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x - 6y + 2z = 5

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Q: (a) With the aid of software, find the eigenvalues of B and their algebraic and geometric…

A: Given matrix is B= 011-22-121-22-112-22-110021-1000

Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0 @x-0) dy =…

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Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…

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Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: We are also given that eRd, where is that in the solution?

A: The previous answer is not correct....See this answer

Q: (2) Let ƒ : [-x, 7] → R be defined by 0 if – a<x< -, 1 if-플<z<0, 0 if0<x< T. f(x) = (a) Calculate…

A: We will use the basic knowledge of the Fourier series to answer this question correctly and…

Q: Suppose U1; U2; :::; Um are Önite-dimensional subspaces of V . Prove that U1 + U2 + ::: + Um is…

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Q: QUA) Replace the polar equation by equivalent Cartesian equation r = 2cose- sine

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Q: Consider the discrete-time SEIR epidemic model Sa+1 = Sa + A-8nln N En + 3 Sn In = In + kE, - (y…

A: We will use the basic knowledge of ordinary differential calculus for linear, homogeneous…

Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

A: The given is: If U and V are vector subspaces of ℝn; then U∪V is also a vector subspace of ℝn.

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a&gt;39 or b&gt;60. Let…

Q: The function f : R → R defined by f(x) = cos(x – 5) is a. one-to-one but not onto. b. onto but not…

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Q: (a) Consider the boundary-value problem *(1) + 3ä(1) + ex'(1) = 0 where 0 <8 «1, x(0) = 1 and x(1) =…

A: Perturbation technique

Q: x²+2x?y-2xy+2xy –3y The expression is equal to x+y

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Q: Using the matrix notation, write the system of linear equations: 2x1 – x4 = -1 5x1 + x2 = 1 X3 = 1…

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Q: Let F, and F2 be the Cartesian representation of the 75 N and 55 N forces, respectively. Which two…

A: We will find F1 and F2 by using component and then check all statements

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of 6 V(1 + x³)dx. Give…

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