USE Gram- Schmibt Process and Normalization find the orthogonal bosis of A A = [ã, ås as ] ai ãz = (0.4,4,4)!

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: Check is bilinear form IR OY not? an

A:

Q: 2 = 8 at the

A:

Q: Find parametric equations of the normal line to the surface z = 4 +y? at the point (2, 3, 10) O x =…

A: To Find:  the parametric equations of the normal line to the surface  z = x24+y2 at the point ( 2,…

Q: Determine the yy''' + 2x = tanx dependent variable independent variable type pde/ode order degree…

A: The given differential equation is yy'''+2x=tanx We have to determine dependent variable,…

Q: KIN sece de

A: We have to evaluate ∫0π2secθdθ busing beta function

Q: Find equations of the following. 2(x - 4)2 + (y - 1)2 + (2 – 6)2 = 10, (5, 3, 8) (a) the tangent…

A: Given that: 2(x-4)2+(y-1)2+(z-6)2=10        and (5, 3, 8)

Q: SOLUE USING LAPLACE TRANSTORMS y" - coy" + By' - 2car St i y(o) = -1, Y'(0) = 2

A: Given y'''-6y''+8y'=2cos5t, y0=-1, y'0=2

Q: UNIVERSIT b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz + = 0. dy

A:

Q: Linear Non-Homogenous – Variation of y" + 4y = cos 2x parameters

A: We need to use method of variation of parameters to solve  y''+4y=cos(2x)  General form of second…

Q: The linearization at a = 0 to V6+ 5x is A+ Bx. Compute A and B %3D A = %3D B = %3D

A: Consider the given: Let fx=6+5x    at x=af0=6+50f0=6+0f0=6

Q: 8² r 8t² + 8s) 3 δω 8s = 4et

A:

Q: 4. For the cylinder with patch (a) Find the normal vector U. (b) The Gauss X(u, v) = (R cos u, R sin…

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

Q: Find equations for the tangent plane and the normal line at point Po (Xo Yo-Zo) (1,5,0) on the…

A:

Q: Fit a line equation (a+bt) to your x(t) data in range from t=1 to t=5. a and b regression…

A: Given information: Let the five pairs of A, B be (2,3), (2,7), (4,5), (4,6), (8,4). Construct the…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A:

Q: Find symmetric equations of the normal to the surface, r (u, v) = at a point (1, 1, 3

A: given ru,v=<u2,v2,u+2v> therefore ru=∂∂uu2i+∂∂uv2j+∂∂uu+2vk=2ui+0j+k…

Q: Compute sF · dS for F = (y², 5, x), S being the portion of the plane x + y + z = 1 in the octant x,…

A: Consider the given information:

Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: The unit tangent I already found which was correct was (32 , 24t , 9t^2 )*1/41 I need the…

A: To find unit normal vector

Q: Find a normal vector to the level curve f(x, y) = c at P. f(x, у) - x² + y² .2 1 Р(3, 3) 6' C =

A:

Q: What is a plane curve’s principal normal vector? When is it defined? Which way does it point? Give…

A: The principal unit normal vector for a smooth plane curve’s defined at a point

Q: 5y" — (y')¹ = y³ sinx

A: The given problem is to find dependent variable, independent variable, type , order ,degree and…

Q: y +2ry = e c) Find the general solution of the equation using the x^2y = u and transforms, e^x=v

A: