3. Suppose i h(x, y) log(3x) Actan (¹) Find h(x, y), hay(x, y), and

Q: sin 100 Ln=1 √n a. 1 b. 15 2 c. Converge d. Diverge d

A:

Q: √1-x² Evaluate x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless)

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: (4) In finance, a zero coupon bond is a contract that pays out one dollar at maturity. The problem…

A: F(t,r;λ)=e-aϕ(t)-rψ(t)F(0,r;λ)=e-λr=e-aϕ(0)-rψ(0)⇒ϕ(0)=0⇒ψ(0)=λ put F(t,r;λ) in given differential…

Q: Given: region R below bounded by the graphs of y = √x-3, y=9-x, and y = 0. (7,2) R (3,0) (9,0) (a)…

A:

Q: Let A = P = [-38 -36 108 4 2 -12. Find an invertible matrix P and a diagonal matrix D such that D =…

A: We will find eigen values then eigen vector to diagonalize given matrix A

Q: 6. Suppose that u is a harmonic function and that v is a harmonic conjugate of u. Show that Ә ди де…

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

Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: d²x dt.² +2 d'y (1² - y = = cos 21. 2 da 9=0

A:

Q: Determine whether each of the following vector fields F is a gradient field or not. If it is a…

A:

Q: The center of curvature C (h,k) is at A (2, 1) (B) (3, 0) © (4, -1) (5,-2) (D)

A:

Q: 16. lim (2-3x) = −4 x → 2

A:

Q: t, = 10. 0, 15. y' + 3y = 0≤t≤2, t> 2 y (0) = 0 us

A:

Q: Can you give a scenario for e and f please?

A: The scenarios for given combinations are as shown below.

Q: Solve using Gaussian Elimination with back-substit 3x12x2 + 4x3 = 1 1 + x2 - 2x3 = 3 2x13x2 + 6x3 =…

A: write the equations in augmented matrix form  3-2411-22-36138 operate R2→R2-0.3333R1…

Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = lnx 3 2 1 X -3 2 3 -1 -2 -3 с i The…

A: Solution :-

Q: Let f: V → II Xabe defined as: a € A f(v) = (fa(v)) a € A where fa: V → X₁ for each a € A. Let II Xa…

A:

Q: 1 The integral ³5√1-9x²dx is to be evaluated directly and using a series approximation. (Give all…

A:

Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A| B…

A: We can solve this using given information

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5x1 + 2x2 + x3 = 0 2x1 + x2…

A:

Q: 11. Circle in the plane z = 1 with center (3, 2) and passing through the origin.

A:

Q: Use Newton Raphson method to solve the system

A:

Q: f(x) = [sin x if 0 T

A:

Q: Find a solution to the system 3 1 [+] 0-690 = by solving the IVP with initial condition x(t) = -4…

A: Solution

Q: 1. Solve the linear system using Jacobi and Gauss-Seidel Method 2æ — y=2 x - 3y +z = -2 -x+y=3z = -6…

A: Solution: We need to solve the system of linear equations:   2x−y=2  x−3y+z=−2  −x+y−3z=−6  using…

Q: Suppose there are gj: TR continue when j = 1, 2 with 91 92 and T is a cube contained in Rn-1 With…

A: Solution : To prove- ∫BfdV=∫T∫g1(x)g2(x)f(x,y)dy dV(x) B={(x,y) : x∈T,g1(x)≤y≤g2(x)} apply set B…

Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

A:

Q: Let M be the portion of the cylinder x² + z² = 1, 0 ≤ y ≤ 3, oriented by unit normal N = (x, 0, z).…

A:

Q: Given h = 0.1. Solve using fourth-order Runge-Kutta method: 2 tây=0;(0)=39;y/(0) 3. Find y(0.1) and…

A: Given differential equation is d2ydx2 -2xdydx +8y =0 Initial conditions:- y0=39; y'0=3 step size:-…

Q: Use the root test to determine whether the series n=1 Since lim 12-00 7n³-n-2 3n² +n +4 n converges…

A: We have to solve given problems:

Q: For X and Y normed linear spaces, let {Tn} be a sequence in L(X, Y) such that Tỵ →T in L(X, Y) and…

A:

Q: in a graph What is an interval graph ? And give an examples

A:

Q: find the points on the surface + z² = 1 that have their tangent plane perpendicular to the vector…

A: For tangent plane of the surface f(x,y,z)=k at a given point normal vector to tangent plane  will be…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A:

Q: Problem Five: Dorian makes luxury cars and jeeps for high-income men and women. It wishes to…

A: Solution

Q: 9. Determine the analytic functions f = u+iv, for which u(x, y) = r³+rg(y), where g is a twice…

A: (9) To Find: The Analytic function f for which the real part is u(x,y)=x3+xg(y), where g is a twice…

Q: You must use an appropriate formula as part of your work for every calculation problem. A group of…

A: There are total of 6 people , they can be arranged in 6! ways  Therefore the number of ways in which…

Q: Bacteria grow in a certain culture at a rate proportional to the amount present. If there are 120…

A:

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: The vector F = -ar + 2a expressed in RCS and in terms of is O None of the choices O - = (−cos0sind…

A: We can solve this using spherical co-ordinate matrix

Q: tanh(0.356 +j0.875)

A:

Q: : Let be a sequence of summable functions on a set es in measure to f and if the family of integrals…

A:

Q: 1. Find the range of the following: a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: Solution

Q: 10z 13 at (9, 7, 0). I the upward unit normal n to the surface 7 cos(xy) = e¹0 ite your solution…

A:

Q: HIGHER ORDER OF DIFFERENTIAL EQUATIONS (D⁵ + D⁴ - 7D³ - 11D² - 8D - 12)y = 0 Pls show complete…

A:

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: Let v: DX be a net in X. Then a point xo X is a cluster point of a net v = {xa} if and only if there…

A:

Q: 1-24. An electric winen lifts & weight on the ent of a 3-m sib pole. Determine angle 5.5m you

A:

Q: x-3y + 2z = 18 5x - 15y + 10z = 18 O No solution

A:

Q: Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…

A: Improved Euler (heun's) method  Replace x with t

Q: 6. Determine all functions f analytic in |2|< 1 and satisfying ƒ(²-) = k+k² 1+k2' k = 2,3,4,...

A: We have to determine all the analytic functions f  in  z&lt;1  such that  f1k = k+k21+k2 ,  k = 2,…