find the distance for the point S(0,0,0) to the ineL: x=5+3t,y=5+4t,z=-3-5t

Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

A:

Q: Solve y'(2.5) given y = x^3 - x for h = 0.05, h = 0.01 using: a. forward diffference b. central…

A: To solve the problem we first write the formula of approximating derivative by forward difference,…

Q: Determine the classification of the given DE , y'=2y4+x4/xy3, and solve in form of M(x,y)dx +…

A: Determine the classification of the given DE, y'=2y4+x4xy3 and solve in form of M(x,y)dx +…

Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a²b" + 3ab'– 15b = 0 where, b(1) = 0…

A: Given- 2a2b''+3ab'-15b=0 where  b1=0,b'1=1

Q: () = (5y – 2x) y' – 2y = 0; y %3D | 4 II

A: Exact differential equations

Q: Solve for x, y, and z. Must show all the steps 2х + у + z%3D 2 -y + 3z = 8 2z = 4

A: To solve for x,y and z.

Q: Q1: Solve the following determining equations for and n %3D 17y-25 =0 27y + 3 y5, - 5 = 0 Nx-yn, +…

A: The equation determined for ζyy=0 Is that Uyy=0 The equation corresponding to, ηyy-2ζxy=0 is…

Q: 3. In trapezoid ABCD, AB || CD, LA 3x+18, ZC 3x+1,2D= 6x . Setup an equation that could be used to…

A:

Q: Solve for x, y and find mZF. (5y) 70 (7x - 5) 45

A: Consider the provided figure, Find the value of x and y and m∠F. From the graph EY is transversal…

Q: Find all solutions of the form y = erx for the equation y''−y'−2y = 0. Then write the most general…

A: This is a second order differential equation. The solution of a second order differential equation…

Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: Show that the DE is exact, then solve it. (2.x +1- y/a²) da + (2y/x)dy = 0, y(1) = 1

A:

Q: Solve the equation by determination method: Inx + ey + tanz = 3 ... (1) 2lnx + 4tanz = 5 + ey (2)…

A: lnx + ey + tanz = 3                              ...(1) 2lnx - ey + 4tanz = 5…

Q: Use the separation of variables method to solve 4urz = Utt, H 00 ur (2, t) = 0 ur (0, t) = u(x,0) =…

A:

Q: Find the solution to = y-I+t y' = y if z(0) = 8 and y(0) =4. (t) = help (formulas) y(t) = help…

A:

Q: Consider two paths, Y1 (t) = t(1+i) – 2 and y2(t) = 1+i(2+t). Do the two path intersect? If they do,…

A:

Q: For the solution: y(t) = C1e-t + C2e5t solve the IVP. First for: y(0) = 1 and y'(0) = 0 Second…

A:

Q: C. Solve for x, y, .<NOQ & M<POQ. Show complete solution. M (y – 12) (3y – 8)° (6x – 32)° P (2x –…

A:

Q: Q2/ solve to find y and x, take y(0)=0 and x(0)=0 ý + y - 0.5x = 0.5 %3D i + 0. 5x = 0. 5 %3D

A: In the question, two first order linear ordinary differential equation is given.   And the equation…

Q: 5. (D² + 4D + 4)y = 0 ;when x = 0,y = 1,y' = -1

A: Given equation is, D2+4D+4y=0, x=0, y=1, y'=-1 Now, write the auxiliary equation for the given…

Q: Solve for h: rh 22. Then rewrite 2ar? + 2arh in terms %3D of r.

A: Given πr2h=22value of  h⇒h=22πr2

Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a?b" + 3ab' – 15b = 0 where, b(1) = 0…

A:

Q: Q2/ solve to find y and x, take y(0)=0 and x(0)=0 ý + y- 0.5x = 0.5 %3D * + 0.5x = 0.5

A: For the equation x˙+0.5x=0.5 or dxdt+0.5x=0.5 calculate IF: IF=e∫0.5dt    =e0.5t

Q: Find two values of r such that y =x' is a solution of xy" - 4xy' - 24y = 0 , x> 0.

A: Given:                 x2y''-4xy'-24y=0y=xr Differentiating y=xr, we get…

Q: solve for y in terms of t or x, as appropriate.

A: 1. e5k = 1/42. 80 ek = 13. e(ln0.8)k = 0.8

Q: Find the values of "r" for which y(x) = e* solves the equation y" +3y'-4y= 0

A: We have to find the value of r .

Q: 2y Solve the I.V.P y'+ =1-, y(0) = yo, then find the value 2 3 of for which the solution touches ,…

A:

Q: 2. Find all solutions to the following equation on the interval [0, 27|]. TCOS X п 11т a. X = 6' п…

A: Given:

Q: Solve the equation for exact solutions over the interval [0, 2n). cscx - 4 csc x 0 . %3D 3m 3t n 5m…

A: The given equation is csc5x-4cscx=0

Q: x(1 - 2х)у" - 2(2 + х)у + 8у%3 0

A:

Q: 2. DEFC is a trapezoid. Solve for x, Z1,2,23andZ4. 2x + 8 70 C 85 10r + 4 20r – 2 3. MNPQ is a…

A:

Q: j(x) = 2f(x + 1) + 4

A:

Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

A:

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

A:

Q: Find the general solution of y'= 2(y − 10). Then find the two solutions satisfying y(0) = 25 and…

A: We separate the variables then integrate both sides. C=integrating constant

Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and…

A: Given,  The system of equations  3x+7y = 25  4x-3y = 21  We have to solve the system of equation…

Q: If ZX = 16 units and VW = 6 units, then solve for UW. Show your work and explain the steps %3D you…

A: Topic = Circle  UW = 10

Q: A. If:Z = x + iy, Solve the following equation to find x and y: 4x+ y_ 4y+14 -0 then use Demoivre's…

A: Given: - If Z=x+iy and the equation is, 4x+y1+ix-4y+i4iy=0 To find: -The value of x and y. Then use…

Q: 3. Solve, showing details: y₁ = 4y2 + 5et y2 -V1-20e-t yı(0) = 1, y2(0) = 0

A: Sol

Q: Re z dz, C the shortest path from 1 + i to 3 + 3i

A:

Q: Solve for x and give the length of each segments. (with solutions) 24 18 D/*+3 3x + 3 2x + 5 -2 + 4x…

A: We have to find the x values and determine the lengths.

Q: Match the equations with the solutions. a. 9e3 = 27 X z 1.099 b. 9e* = 27 Xz 1.022 c. 9e3x -4 = 27…

A: a) Given 9e3x=27e3x=27/9e3x=3Taking ln on both sidesln e3x=ln(3)3x=1.098x=1.0983∴x≈0.366 b) Given…

Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Find the general solution of the following equation: (D2 + 4D + 4)y = 0 such that the solution…

A: Given differential equation is  (D2+4D+4)y=0 its solution passes through (0,2) and (2,0).

Q: How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A: Given is the equation of two planes. The objective is to find the number of solutions between the…

Q: dy Find the equation of the solution to da z°y through the point (z, y) = (1,5). %3D help…

A: The given first order differential equation is…

Q: Use the method of reduction of order to find a second solution to ty" - (4t – 4)y' + (4t – 8)y = 0,…

A:

Q: Use the separation of variables method to solve 4urz = Utt, H 00 ur (0, t) = ur (2, t) = 0 u(x,0) =…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.