SOLVE STEP BY STEP IN DIGITAL FORMAT Applying Stokes' theorem to a vector field = ax for a a constant vector shows that f xx7 - [×vײ. dx ds x V x as S

Q: Write a general formula to describe the variation. y varies inversely with √x; y = 2 when x = 4

A: Given that, varies inversely with , when .To find the equation of the variation.

Q: (ii) Linearize the following differential equation for small excursion about x = =: d²x dt² dx…

A:

Q: = 5.8. Let f₁(x) = x³ x² +1, f₂(x) = x³ + x² + x and f3 (x) = x³ + 2x²+3x+1 be three polynomials in…

A:

Q: Let P(x) be a polynomial in x, let k be a positive integer, and let a be a number such that (x − a)…

A: Here P(x) has a local maxima or local minima value at x = a, iff , P"(a) has nonzero value.

Q: Find a basis for the eigenspace of B below. 20 8-[2₁9]-X-3.2 = 3, B = a. B={(1,0),(1,1)) b.…

A:

Q: let f be a function so that f: N → N. Define rec∞(f ) = {n ∈ N | f -1(n) is infinite}, as in, the…

A:

Q: Now that we have our angular velocity, we can write our parametric equations. Remember that x = r…

A:

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nid find the volume…

A: Two Curves are and .To Find:The volume of the solid rotating about the given curves abouta) x=-1b)…

Q: This

A: We use BFS and DFS to solve given question with each and every step.

Q: Q2j Solve the following differential equations. dx 3. Find Y using D-operator, where Yp: = 4 (D+1)…

A:

Q: 1² +2²+...+ n² = n(n+1)(2n+1) for 6

A: We are given expression

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the integral using the indicated region =z¹dx + rydy…

A: Given that:    , where D is triangular region with corners (0,0), (1,0) and (0,1).We need to…

Q: Please do not give solution in image format thanku

A: To prove that every connected component of G with at least two vertices contains two vertices of the…

Q: Find the extreme values of f subject to both constraints. f(x, y, z)=x+y+z; x² + z² = 3, x+y=2…

A:

Q: Read each problem carefully and present an algorithm with the required running-time to solve each…

A: The directed acyclic graphs (DAG) can be used to represent dependency/precedence relations.Task…

Q: 6) Use Stokes' Theorem and Theorem 10 in section 16.7 to find § F · dř. F(x, y, z) = (2y, xz, x + y…

A: .C is oriented counterclockwise, and it is the intersection of the plane  and the cylinder .To Find:…

Q: Σ ∞0 (n+1)! ζη τη=1

A:

Q: , use (10.10.1) to determine L[f].

A:

Q: . Determine the solution to the following system: x-y +z = 10 2x + 3y2z = -21 2 1 1 1 2x + 5y + z z…

A: The given system of equations is     x - y + z = 10   . . . . . . . . . . . (1)     2x + 3y - 2z =…

Q: Suppose that f(x, y) = e = ³x² - y²+x-y

A:

Q: 3. Draw an approximate solution for the first order differential equation whose direction field is…

A: Given direction field with initial conditiony(0) = -1.8

Q: Find the length of the curve defined by r(t) = (3+ t, 1 + 4t, 3+2t) for 1 ≤ t ≤ 5.

A:

Q: 1. Consider the equation -xy"+y' + (x-1)y=0, x > 0. We can easily verify that y₁(x) = e* is a…

A: Given differential equation Also given that  is a solution of the given differential equation.Let…

Q: Required information Use the linspace function to create vectors identical to the following created…

A: The linspace function is typically used to create a vector of equally spaced values within a…

Q: Does the function y = = 2x² 13x + 5 have a tangent whose slope is -1? If so, find the equation for…

A:

Q: Find the domain of the following function. If possible, give a description of the domain in words…

A:

Q: 12, 13, 15} subset of {11, 12, 13, 14, 15}

A: Let A and B be sets. A is said to be a subset of B if every element of A is also an element of B. In…

Q: Consider the function f(x,y,z) = x² + 2y² +3z² +2, the point P(3,0,3), and the unit vector u = √2 a.…

A:

Q: B. Write the following as summations: 1. a₁ + a₂ + a3 + a4 +a5 2. v6+v7 + V8 + V9 + V10 3. 4m3 + 4m4…

A: Sigma : the symbol of summation

Q: Let A = 1 - 4 2 -2 - 1 4 0 0 2 b₁ and b = b₂ Show that the equation Ax=b does not have a solution…

A:

Q: f(x)=(0.67*e^x)/x*tan(x) - 0.23 * x^3 + 0.75 * x^-2 - 0.19 * x + 4.4 by taking the integral of the…

A:

Q: 6. 1 -5 -4 0 3 4 -3 6 0

A:

Q: Draw approx. solution for the directional field for the first order with the initial condition y(0)…

A: Given directional field:

Q: The improper integral Select one: Op>1/2 Op> 2/3 O p > 1/3 +∞ Si dx XP (2+√x+√x) - converges if and…

A: Given thatthe improper integral is Now

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=x², and…

A: The region R:

Q: Find a formula for [ f(x)dx in terms of the functional values f(x₁) and f'(x2), which is exact for…

A:

Q: (a) Without calculating it, explain why g'(x) exists for all x E R. (b) Compute g'(x), naming any…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: A poll asked respondents if they agreed with the statement that colleges should reserve a certain…

A: The given Venn diagram,Using the Venn diagram to find the number of respondents agree the statement.

Q: Reduce the equation to a canonical form and solve it. Sh yzxx + (x + y)2xy + XZyy = 0 Text

A: The characteristics integrals:

Q: the area of the surface. The part of the sphere x² + y² + z² = 81 that lies above the plane z = 6.

A: The solution is given by

Q: A spring mass system consists of a spring with spring constant k and an attached block of mass m is…

A:

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 6. R is the…

A:

Q: : The following equation has three positive roots and one negative root: x² - 4x³-7x² +34x-24= :0…

A: Let us find the roots of given polynomial using Newton Raphson method.

Q: Verify that the function is a solution of the differential equation on some interval, for any choice…

A:

Q: solve step by step in digital format and check your result SOLVE THE ODE dy [3y² + x cos(x)] = +…

A:

Q: Calculate the integral SJ xy dx dy x+ D x²7x² 0<x< 1 and o<y<√7_x²} over the domain D= {x,y)ER?

A: We have to evaluate  over the domain  x=y is a straight line passing throwgh origin and  This is a…

Q: Use a calculator or program to compute the first 10 iterations of Newton's method for the given…

A: Given,

Q: 52, 'n 10 52 10 ()=15820024220

A: The given expression .We have to explain this bracketing value.

Q: minimize (x1-5)² + (x2-3)² subject to 10 - X1-X220 Solve using logarithmic penalty function method.

A: The Logarithmic Penalty Function Method is a technique used in optimization to solve constrained…

Q: If the vertices of a digraph with n vertices can have its vertices numbered from 1 to n such that i…

A: Given that: The vertices of a digraph with vertices can have its vertices numbered from  such that…