Find all Critical points of the function : 2 f(x.y) = 4x° + 6x°y+y° - 10y? - 48y + 18 Critical points :

Q: Find the steady periodic solution xsp = C cos (wt – a) of the given differential equation mx" + cx'…

A:

Q: 5.A franchisee knows that his labor cost to net sales ratio is 2 to 3. If this estimated labor cost…

A: This problem is a simple application of ratio and I solved it in the next step.

Q: ORTHOGONALITY OF BESSEL FUNCTIONS J x J, (ax) J, (ßx) dx = 0 %3D where a and B are the roots of Jn…

A:

Q: Use the information provided to write the standard form equation of the hyperbola. Vertices: (8, 16)…

A:

Q: Solve the following recurrence relations. а) а, 4an-2, n > 2; ao = 0 and a1 = 4.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let K be a field. Consider the following set {(::)- a1 0 R:= a2 a1 (a) Show that (R, +) with the…

A:

Q: Simpson's rule to calculate approximately the

A: simpson's rule,

Q: Use the Laplace transform to solve the given integral equation f(t) = te + tf(t - t) dt

A:

Q: (12) Let p, q and r be the propositions p: I will pass in Discrete Mathematics module q: I study and…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: 2-/2x+1 Let F(x.y)-C be the antiderivative of (x) = What is the value of Cif x-3 and y-5? 3-2x (use…

A:

Q: (D³ - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2r)e2"+2e -* (A) B y = (-1+ 2x)e-2* +…

A:

Q: Directions: Prove by using the truth table so that compound statements are equivalent. 1.) - (p= q)…

A:

Q: c) (At + B)cos(2t) + (Ct + D)sin(2t) d) Acos(2t) + Ctsin(2t) 24. Given the differential equation y"…

A: Given differential equation is y''' + y' = 0

Q: onsider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

A: Given differential equation is y'' - 3y' - 10y = 1 ; y(0) = -1, y'(0) = 2

Q: a1 A solution of a DE which is not exact and falls under Case 3 i.e. can alone be solved by a2 DE…

A:

Q: 5. Which of the following is a solution to the differential equation dy y3-5 a)쓸-5y%3D + C dt b) +…

A: We have to find the solution of the differential equation dydt=ty3-5 .

Q: Prove that J3 (x) dx + J2 (x)+J, (x) = 0

A:

Q: Let f(x) = x* + 12x³ – 2x2 – 164x +105 be the function graphed here. %3D Click on the graph and…

A:

Q: Find all entire functions f such that r(2) <lf(z}| for all z€C. Attach File

A:

Q: Calculate the future value of an ordinary annuity consisting of semi-annually payments of $1,400 for…

A:

Q: 21. Consider the differential equation y" - 2y' + 4y = 5t determine the form of the particular…

A:

Q: The given DE: (2y³-x³) dx+ 3xy²dy= 0 can be solved by: A 3 methods B 2 methods 1 method D 4 methods

A:

Q: Find delta value for the limit of x-->0 of tan5x/sinx when epsilon = 0.1

A: Introduction: The limit of a real-valued function is the base of differential calculus. A single…

Q: 2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4…

A:

Q: Additional Activity: Fill in the answer on the space provided. Given: if 27= 120°; 43= 30°; 24= 30°…

A:

Q: y' = 5xy-2x

A: Find the general solution of the given differential equation using separation of variables :-

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: 12x +3x,-5x, 1 2. Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution…

A: Let us consider the given system 12x1+3x2-5x3=13x1+7x2+13x3=76 with x10,x20,x30=[1,0,1] and solve…

Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into In solving for the antiderivative…

A:

Q: A certain simple economy has two sectors: work and play. To produce $1 of work requires $0.7 of work…

A: Let us take x as the production of work and y as the production of the play. Now we can form two…

Q: Problem 6: Two spherical conductors of radii a and b (b > a). The sphere of radius r = a is held at…

A:

Q: Problem 2: (a). What is the coefficient of r40 in the expansion of (r (b). What is the coefficient…

A: a) Given: (x3+x4+x5+x6+x7+⋯⋯)4 To find coefficient of x40

Q: Montserrat has $100,000 to invest in a saving account. She receives a steady interest rate of 3.75%…

A:

Q: The function f(x, y) = r° – 3x – 2xy – y – 2y + 4 Has two stationary points. Find and classify then.…

A:

Q: For any positive integer n, Bn is a n x n matrix. B is a n × n matrix. n is an arbitrary positive…

A: Given matrix is Bn=x-a-a···-a-aax-a···-a-aaax···-a-a··················aaa···x-aaaa···a-a

Q: 36. Find the shaded areas 110° a. 2 110 b. 2]

A:

Q: Find the image of the line z =3 +iy under f(z) = e

A:

Q: fa) a z n-> (2-4)스

A:

Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

A:

Q: c) y" - 4y' + 49y = 0 y(0) = 0, y'(0) = 5 %3D d) y" -2ytv + y" = 0 %3D

A:

Q: Show that 1.3.5... (2 n – 1) (i) P2n (0) = (– 1)" (ii) P2n+1 (0) = 0. 2.4.6 ... 2 n

A:

Q: Solve for x in the equation 2 + log, yi = e2 – j2 X= type your answer..

A: Solution :  Given that    2 + log2yj = e2x - j2

Q: How many nonnegative integer solutions are there to the equation Xị + x2 + x3 + x4 + x5 = 40 if we…

A:

Q: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

A:

Q: 5. Show that the function h(r, y) defined by if + y 1 is discontinuous.

A:

Q: Find the exact solution for 10e4x+2 + 5 = 62x-1.

A: Given equation 10e4x+2+5=56 We have to find the exact solution for a given equation. Formula Used:…

Q: x² + 1, if x –1 odd f(x) = Find the value of x² - 1, if x+1 even f(1)+ f(2)+f(3). O a. None O b. 12…

A: Given function is f(x) = x2+1ifx-1 oddx2-1ifx+1 even

Q: Solve the following DE's a) y" +y = 0 c) y"-4y' + 49y = 0 y(0) = 0, y' (0) = 5 b) y"" – 2y" + 4y' –…

A:

Q: Problems 1. Use the Bisection Method to solve for one real root of sin a 2 =0 on the interval…

A: