Use Green's theorem to evaluate the line integral along the given positively oriented curve. 3y + 7ev x) dx + (10x + 7 cos(y²)) dy, C is the boundary of the region enclosed by the parabolas y = x2 and x =

Q: 5) Rove that the Vraltora gperotor V aching on. is compoct

A: Given that the Volterra operator, V:L20,1→L20,1is defined by                            Vfx=∫0xftdt…

Q: Ans : Z 5) uck)

A:

Q: Davis is planting corn seeds in two sections of his land. The sections of land that he will use to…

A: 10. Assume that Davis is going to plant seeds at 4 inches apart.

Q: In the context of hyperbolic geometry, show that the segment joining the midpoints of two sides of a…

A: Given below clear explanation

Q: Find all solutions in {0, 1,2, ..., 12} to x26 + 15x13 = 12 mod 13.

A:

Q: (9) Let T: R. -R? be a linear transformation. Suppose T(u) = and T(v) = What is T(2u -3v)?

A:

Q: 1. Answer the following questions based on the graph below: a f d e a) Find the number of verticals…

A:

Q: A board game uses the deck of 20 cards shown to the right. Two cards are selected at random from…

A:

Q: Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

A:

Q: Let T: R R' be linear transformation defined by 22 (a) Find the standard matrix ofT. (b) Find a…

A:

Q: For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x),…

A: Given is a directed graph   1. To Find: Relation expressing the directed graph.   2. To Find:…

Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

Q: Find least square linear approximation of function with f(- 2) =0 f(- 1) =5 f (0) =0 f (1) = - 5 f…

A: Consider the points, -2,0,-1,5,0,0,1,-5,2,0 Now, make the table as shown below, x fx x·fx x2 -2…

Q: Find the volume of the region bounded above by the paraboloid z=x + 2y and below by the square R:…

A: Solution:-

Q: Use Laplace transforms to solve the following initial value problem. x'+2y'+x=0, x'-y'+y=0, x(0)=0,…

A:

Q: Solve the cubic equation in two different ways: 1 – 4x – 4x2 + 8x³ = 0. - %3D

A: The function given is as follows: fx=8x3-4x2-4x+1=0 We are asked to solve the cubic equation using…

Q: If f(x) = ex - 5, 0 <x< 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

A:

Q: what is the fuzzy graph theory and give examples.

A:

Q: 3. For each of the following entities, say whether it is a member of P(N), and explain why or why…

A:

Q: (b) A = 3 is an eigenvalue of A. Find an eigenvector of A with this eigenvalue. (c) The matrix A is…

A:

Q: Draw the graph of the piecewise function, g(t), and use the methods in 7.3.2 to find its Lap…

A:

Q: 3T 0<x <T Scos(x) + 2 (sin(x) – 1 and then evaluate ? f(x)dx. Sketch the graph function f (x)

A:

Q: 7. Let X = {a,b,c}. Show that Bß ={{a,b},{b,c}}cannot be a base for any topology on Х.

A:

Q: ind the dx

A: We have to solve the given integral.

Q: Use Laplace transforms to solve the following initial value problem. x''+x = 5cos6t, x(0)=1,…

A:

Q: What is the selling price of a $10 item after a 50% markup?

A: We want to find selling price of given item.

Q: 1 3 0 4 2 0 0 6. -2 1 0 1 0 0

A:

Q: 14. Briefly explain why || d || == || c || when d=axb and || a ||=1. a b d

A:

Q: 9. Verify that Euler's formula does not hold for a graph that is not connected: count the vertices,…

A: Euler's formula for v vertices, e edges and f faces is: v-e+f=2 For the given graph we have vertices…

Q: Find the . dx-

A:

Q: Equilibrium Point Yaster Cookware is planning to introduce a new line of cast-iron pans. A marketing…

A: Find the quadratic model for the price demand data as follows, Use the excel spreadsheet to find the…

Q: Consider the initial-value problem y=9y, y(0) - 1. The analytic solution is y(x) = e. (a)…

A: Note:- As per our guidelines, we can answer the first three sub-parts as exactly three are not…

Q: Let A be an invertible n x n matrix, B be p x s matrix, and C be q x t matrix. If 4) the matrix…

A:

Q: Determine whether the following series converges. Justify your answer. 00 Σ k=1 5k e V5k (Type an…

A: The given series is ,      ∑k=1∞15k e5k  (.)  Integral  Test :  If  for  x ≥ 1 , f(x)  is…

Q: Let D = {(x, y) | 2 <r S 3, , -<0<0}. Sketch the region D, and evaluate the double integral lp -4y…

A: We will use polar coordinates.

Q: Solve the system by back substitution. 4x + 8y + 2z + 6w = 3 5y + 30z + 10w = 40 5z + 5w = 10 w= 3…

A:

Q: Solve the following system of four simultaneous equations using Gauss-Seidel Method w+ 2w² + 3w + 4…

A: Given detailed answer below

Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: .

Q: 3) y" + 16y = 1, y(0) = 1, y'(0) = 2;

A:

Q: Part 1 Use Modified Euler's Method (Runge-Kutta method of order two) to approximate y(t) at t=1.2.…

A:

Q: heorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal…

A: Introduction: The Bayes Theorem, named after the 18th-century British mathematician Thomas Bayes, is…

Q: Let f be a nonnegative bounded measurable function on a set of finite measure E. Assume f = 0. Show…

A:

Q: Let T:R R' be linear transformation defined by T. (-3rs+4) (a) Find the standard matrix ofT. Find a…

A:

Q: ind the derivative of the function defined by 1 e dt F(x) x2 1 int: You need to use the product rule…

A:

Q: The orthogonal basis produced using the Gram-Schmidt process for W is (Use a comma to separate…

A:

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: Given Fx,y=2x-6yi+-6x+10y-7j The vector field F=Pi+Qj is conservative vector field if ∂P∂y=∂Q∂x.

Q: l-13] 1 2 Let A=07 (10) -2 00 (h-1)(h + 1) system. For which value of h is the system INCONSISTENT?…

A:

Q: Solve eq using Laplace بلعكد لعاو مهواود إسيعوحلعووهکيجوری

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

Q: (11) The adjugate of A= is: (») [ (b) (c) (d) (e) None

A: