ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

Q: Number

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

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

A:

Q: equations, use phase flow, initial conditions, ndicate x and y nullclines and equilibria. (if…

A: Sol

Q: F(t) = for -T<t< 0 %3D t2 0 <t<T for

A: Fourier series expansion of the given periodic function which is defined in the interval -pi to pi

Q: a) Find the number of walks of length 3 between each distinct pair of vertices. b) There is 1 walk…

A:

Q: 1. Solve by D operator method d?y 2y+y = x²e3x dy dx2 dx Sol

A:

Q: Suppose that a 2 × 2 matrix A has an eigenvalue 2 with corresponding eigenvector and an eigenvalue…

A: Eigenvalue and matrix P for diagonalization

Q: A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of…

A:

Q: 16. Suppose we collect the following dataset Dy (0,1,1,0,1,0,1,1,1) cor- responding to a random…

A: Sol

Q: =- 2)? – In x = 0, [1,2]

A: Sol

Q: d?y 2y+y = x2e3x dy 1. Solve by D operator method dx2 dx 2. Solve by method

A:

Q: etermine trigonometric coefficient 2 1 2

A: Sol

Q: -3 Given v = -6 find the coordinates for v in the subspace W spanned by -7 -4 -1 2 3 -2 1 U2 = 1 ,…

A:

Q: d?y 20 +y = x²e3x. dy 1. Solve by D operator method dx2 dx

A:

Q: y2 =1 is rotated about the x axis to form a solid shape. A cylindrical x2 7. The ellipse with the…

A: We will use disk method to find volume of solid formed by rotating the ellipse and then volume of…

Q: at a unit-speed regular parametrised curve 3: (-7, 7)→ R² with T, N) has constant curvature k> 0.…

A: Sol

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula f(X;) Af(X,) A²f(X,)…

A:

Q: Each of the vector fields in exercises 95-98 is conservative. Evaluate each integral by first…

A: We have to find the line integral.

Q: Using Legendra polynomia lsFind 9quadratic least-square approximation For cosh Cx)

A: We have , fx = coshx We know that , the quadratic approximation of  least square polynomial is given…

Q: itely generated projective modules over a local ring are free. jective modules are flat, but the…

A: Sol

Q: Let -3 -9 A = -3 -8 Find an orthonormal basis of the image of A. O 00

A:

Q: 1. Solve by D operator method dx2 d?y 20 +y = x²e3x dy dx

A:

Q: higher productivity Eg G Good patch a lower productivity Average patch n Poor patch Travel time…

A: Sol

Q: (iv) Let be an odd prime number and let r be the rational number 1 r = 1+ 2 1 1 + +... 3 Prove that…

A:

Q: Determine the equation of the circle graphed below.

A: We have to find the equation of given circle.

Q: Find the Inverse Laplace Transform of the following functions 1 2) F(s) = s'+4s

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

Q: sinxcost ; 00 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x,…

A: Sol

Q: 1. Given: A= 1 B = 2 1 C = 2 1 4 4 7. 4 6. 1 6 2 4 2. D = 2. E = 6. F = 1 2. u = Evaluate if…

A:

Q: (3 + 4i)3

A:

Q: Find the Inverse Laplace Transform of the following functions 1 2) F(s) = s' +4s 8 4) F(s) =- 4 -…

A: Division by s property is used to find inverse Laplace transform

Q: Consider the system x= 3x²+2y, y=ax2+ pxy+ yy². where B. and y are some constants. Choose values of…

A:

Q: 1. Solve by D operator method d?y 2y +y x2e 3x. dy dx2 dx Solve by method of variation of parameter…

A:

Q: J. Atter a vise of 72, a peson's jary $507.15 4ow vAeng much did fe earn before fhe nCreOse?

A: Rise in the salary is 712% or 7.5%. Let the initial salary be x. If the salary x increases by 7.5%,…

Q: aluating line integrals previously taught. What happens?

A: Sol

Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: Q12 i Q12. Let R be the region that lies between the curve y = x2/3 and the x-axis on the interval…

A:

Q: 2 sin(e*) S(x) = 1. Given f(x) above, find f'(x). 2. Between the interval [1.2] find the two roots…

A:

Q: 1. The area B is given by y? В — 3 (x, y, z) E R² | < 1, 2 = x . Assign Stokes' integral theorem for…

A: Sol

Q: Find a unit vector u in the direction opposite of (-9,–2, –1). u =

A: Given vector is  -9, -2, -1

Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), 24t; 0<t< T Z = L =

A:

Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: Let -5 1 0.5 4 –2 -1 -17] Use the Gram-Schmidt process to determine an orthonormal basis for the…

A:

Q: Evaluate the partial derivatives and at the given po f(x, y) = 25 – x² – y² at the point P(3, 4) -

A:

Q: (-1)" Fact: the series S converges by virtue of the Alternating Series Test. || n=1 According to the…

A:

Q: Exercise 93. Use what you know in the previous problem and the fact that the vector field F is…

A: We have to evaluate ∫CF·dr  where F=&lt;excosy,-exsiny&gt; and C is rt=&lt;t,t2&gt;, 0≤t≤2

Q: 1. Solve forx: (7x+3) (9x - 33)° 4. Find m21. (6x-3)° (5x + 21)°

A: Solution-1:  Given that the angles are (7x+3)° , (9x-33)°  From given  diagram  (7x+3)° = (9x-33)°…

Q: For the data { 8 , 9 , 13 } , what is the sum of the " squared deviations " ?

A: The mathematical average of two or more numbers is called the mean. Add all the observations and…

Q: ax d?y Solve by method of variation of parameter dy = ex sin x. dx | dx2 Solve the Cauchy Eulo

A: solving question 2 as mentioned

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

A:

Q: REDUCTION OF QUADRATIC EQUATION TO CANONICAL FORM PROCEDURE Please give typed Answer only

A: A quadratic equation is reduced to CANONICAL FORM as shown below.