3-a. Find the area of the triangle determined by the points P, Q, and R. b. Find a unit vector perpendicular to plane PQR. 1) P(1,-1,2) Q(2,0, -1) R(0,2,-1)

Q: 4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the…

A: Please see the attachment

Q: 1 2. Let R be the region bounded by the curves y = x and y = x³. Let S be the solid generated when R…

A: We have to find the volume of S by both the disk/washer and shell methods and Check that results.

Q: 5. Lena used 36 m of fe garden on her farm a) Sketch some pos What is the area. b) How many differ.

A: Given, The length of fencing is used to enclose a rectangular vegetable is 36 m.

Q: The conjugate harmonic function v(x, y) of u = In (x² + y²) is

A:

Q: A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit…

A: LPP of given problem is given by Maximize  Z = 90x1 + 110x2 Subject to constraints 2x1 + 4x2 ≤…

Q: (8) If F is a field, then it has no proper ideal. От F

A:

Q: Question 2.10c. Consider the following system x + y + z + w = 1; x - y - z W = : 1; x + z = 1. Find…

A:

Q: :y= x,y = 2x2 − 3x

A: To find centroid we need to find area bounded A between curves  then centroid x =∫abx×fxdxAy…

Q: Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H…

A:

Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz (B)If Z =…

A:

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A:

Q: Let 1 14 -4 1 -1 -3 6 A 3 - 1 -1 8 3 15 (a) Find the dimension of the row space of A. (b) Find the…

A:

Q: Solve by the Lapace Transform: y(t) + 4 y(T) (t - 7)dt = 2t [₁

A:

Q: using data on Y and x estimate the 2 regression equation what is the are the value of R² ? Yi =…

A: Given the data on x and y To find the regression equation of line. Also find the value R2

Q: If f(z)=u(x,y)+iv(x,y), how do I determine dz? I have that the answer is dz=dx+idy, but I don't…

A: It's nothing to do with f(z)=u(x,y)+iv(x,y). Here z be complex independent variable. Hence , z could…

Q: The set H={0,1,2}is a subring of (Z4, +4,.4) integer ring module 4.

A:

Q: 3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin…

A:

Q: (7) The set H={0,1,2}is a subring of (Z4, +4,.4) integer ring module 4. T OF

A:

Q: 2. For the quadratic function y = -6x² + (K + 4)x+9, find the following: a. The Axis of Symmetry of…

A:

Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

A:

Q: Solving the following problem using Fourier transformation method. du d²u = 0, (t>0,-∞0< x <∞0) Ət…

A: We have to find the value of u(x,t)  by using Fourier transform the process is given below

Q: Find the half-range sine series for the function f(t)=nt-t², in the interval 0<t<n.

A:

Q: = {1,2,3,4,5} and define a relation R on S x S by (a, b)R(c,d) if ad = bc. Show that R is an…

A:

Q: Q2. Solve the following differential equation by variation of parameters: d²y x3 dx² +6x³. dy dx -3x…

A: Sol

Q: I tried my best to get it in one picture but I really need help it say to match the coordinates with…

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

Q: Find Q for the QR factorization of A Ex: 1.23 02 0.given the orthogonal vectors 4 ------ 0.83 1.67…

A:

Q: Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal…

A: First we solve the system of linear equations by back substitution method and find the basis for…

Q: The complete solution of the ordinary differential equation d² y dy + P + qy = 0 is dx² dx - 3x - y…

A:

Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

A:

Q: Intermediate Problems 15 Stick or Roll Stick or roll is a game involving two players, A and B, and a…

A:

Q: has solutions of the form R(p) etmzting whe

A:

Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A:

Q: The complex numbers an, n > 0, are defined by the condition that Σan (z-2i)" = 1+ 2z+3z² + Σ(n+1)z"…

A:

Q: Cameron is saving for his retirement 23 years from now by setting up a savings plan. He has set up a…

A:

Q: Solve the ODE y (4) — 4y"" + 8y" — 8y' + 4y = 0. -

A: First find auxiliary equation then find solution as in next step.

Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Use the…

A:

Q: Which of the following degree sequences are possible for a graph? A. (4, 4, 3, 1, 1) B. (5, 4, 3, 1,…

A: Here We use the properties if graph to find that these are possible degree sequence or not.

Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ........ O…

A:

Q: jugate harmonic f ²) in

A:

Q: xy" + 2y' - xy = sech²(x)

A: Given: xy''+2y'−xy=sech2(y) To find: Solution

Q: Find the equation of the tangent plane to the graph of f(x, y) = 3xy² + 2x³y² at the point (-2, 3).…

A:

Q: Solve the following by using In

A: 5. (i) Given,              s2s4-1

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor…

A:

Q: wave equation

A:

Q: Example:- Evaluate the integral of the region R* enclosed by applying the transformation u = ²x-³, v…

A:

Q: Find the Fourier seris of with a period of T = 1. f(t) = 2t + NI -1 0 1 Figure 1: Diagram of f(t)…

A:

Q: The Z inverse of 3z/(z-2) is: * O3/2An 2/n^3 O 2/3An 3/n^2 Non of these The Z inverse of 9z/(z-1)^2…

A:

Q: Q3 Find , if y=3cose+cos³0 do, and x =

A:

Q: Surface of a sphere is a two-dimensional Riemannian space. Compute the Chrtstoffel symbols.

A:

Q: Let u=i-3j+2k, v=i+j, and w=2i+2j-4k be vectors in 3-space. Find: (a) ||u+v|| (b) unit vector in the…

A: given vectors u=i-3 j+2 kv=i+jw=2 i+2 j-4 k find (a) u+v (b) unit vector in direction of vector w…