- Let f(x, y) = x² + y²-4 and let C be the circle x² + y² = 9 traced once counterclockwise. Evaluate the integral f(x,y) ds.

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A:

Q: Provide an original example each of minimization and maximization problems of Linear Programming.…

A: A bottling company has two bottling plant x and y. In each plant three types of drink is bottled per…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing…

A:

Q: 2. Prove that the series (111 is not absolutely Jn (Inn13 Convergent. M=2

A:

Q: 3. If M(x,y) is homogeneous of degree 3 and homogeneous, then N(x,y) is homogen (A) y (B) 0 (C) 3…

A:

Q: Σα n=1 arctann

A:

Q: 5. The exact equation (3x2y+e")dx + (x³ + xey-2y)dy = 0 has the general solution 2² - 2xy (A)…

A:

Q: 11. Use the Vertical Line Test to determine if y is a function of x. 10- X gio 3:22 SOS

A:

Q: W n=1 sin n 5

A:

Q: Solve each differential equation and find the value of y asked for.   A. y′ + xy = 3; y(4) = 2.…

A: We will solve the differential equation with initial bound and then find value of y for indicated…

Q: The gradient of the line 8y + 12x = 7   is

A:

Q: (9) 01 the matrix True False is a product of commutators in GL (5)

A: Commutator in a group GL(5)

Q: What is the volume of the figure between the planes z = x + y and z directly above the rectangle…

A:

Q: For given data (xi,yi), i = 1, 2..., n, the solution of equations a ac Σlyi - (cx; + d)]² = 0 i=1 od…

A: Look inside the summation its like summing up square of distances of y to some fixed cx+d.Least…

Q: A triangular water trough is 6.0 meters long, 1.50 meters at the top, and 1.50 meters deep. Water is…

A: Triangular water trough is 6.0 m long , 1.5 m at the top and 1.5 m deep. The water is pouring at a…

Q: *← X = →* Find the least-squares solution of the system -7 -13 -7

A:

Q: An area in Quadrant 1 is bounded by y = x³, x = 2, and the x-axis. What is the first moment of this…

A: The area is bounded by: y=x3, x=2 and the x-axis in quadrant 1. We have to find the first moment of…

Q: - (3) Prove that the sequence C(2n, k) = is increasing for k=0, 1, 2,..., n.

A: We know that C(2n,k) is maximum when k= n

Q: Questions 1-10 are concerned with the equation: +60 +9y=9x dt² 10. This system would be classified…

A: Given: Second order differential equation: d2ydt2+6dydt+9y=9xWe need to check whether the given…

Q: Let C1 be the circle centre P = (1, 1) with radius 1 and C2 be the circle centre Q = (−1, −1) with…

A:

Q: Find an interval centered about.x=0 for which the given IVP has a unique solution. (x-2)y"+3y=x; y…

A:

Q: Evaluate using L'Hôpital's rule. lim re

A: Given: limx→∞xe1x We have to evaluate the limit.

Q: Using Reduction of Order: (D² - 1)y = 2e²x

A:

Q: Prove that at the point of intersection of the surfaces (1) where y = x tan 0, the radius of…

A:

Q: Let F be the radial force field F zi+yj. Find the work done by this force along the following two…

A:

Q: Use Exhibit 18-1 to determine the sales tax (in $) and calculate the total purchase price (in $) for…

A:

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A:

Q: 1. For the matrices A and B given: 2 -3 5] 1 58-1²1 -2] 3 B = A = (a) Find the determinants of A and…

A:

Q: Use laplace transform to solve the initial value problem: 3rd order IVP : 11 y + 24" y' - 2y = sin…

A: Given the differential equation y'''+2y"-y'-2y=sin3t. After applying the Laplace transforms,…

Q: Suppose p and q are odd primes such that p = q + 8a for some positive integer a. () = () = ( ) .…

A: Legendre symbol:  For any prime number p and any integer a that is not divisible by p, the Legendre…

Q: Determine if each of the following series converges or diverges

A:

Q: please show all work 3. Consider the following matrix: B =  (a) Does this matrix have an…

A:

Q: 00 . Determine whether Σ n=1 (-1) ¹+1 √n is absolutely convergent, conditionally convergent, or…

A:

Q: dy 6. The differential equation (1+x²) - 2xy = x + x³ has the general solution dx y=e³(x+¹)+C 4 (A)…

A: The given problem is to find the general solution for the given differential equation.

Q: The continuous function g, consisting of two line segments and a parabola, is defined on the closed…

A: The graph of the function gx is given on the interval -3, 6 and f is a function such that f-1=1e and…

Q: If G and H are groups with identities 16 and ¹H, respectively, and f:G ---> H is a homomorphism,…

A:

Q: 3(1) Show & Explain very well your calculations. A) Determines its original contact information. B)…

A:

Q: 1. Determines the actual roots of the equations below. Show your work, and Explain well your…

A:

Q: What happened to the 1/2 in the beginning

A: Yes! You are write, the expert forgot to mention 12 in the formula later on as the formula is…

Q: Find the power series centered at x = 0 of the solution to the initial value problem: y" - 2y = 1,…

A: The power series centered at x=0 y''-2y=1, y0=0, y'0=0

Q: please show all work 4. Consider points A(2,−3,0) and B(−1,2,1). Let u be the vector connecting…

A:

Q: 10. The graphs of the curves r = 2 and r = 3+2 cos are shown in the figure below. The curves…

A: The two polar curves are given as r=2 and r=3+2cosθ. The intersection point of these two curves is…

Q: 4. Consider the sequence Onvergent, to what? 3n+7 Determine whether this sequence is convergent or…

A: Sequence and it's convergence

Q: Rewrite the following sets using the set builder method: 1. A = {4, 7, 10, 13,… } 2. B = {-4,3} 3. C…

A: The given problem is to rewrite the given following sets using the set builder method.

Q: 6.3.18. Let X1, X2,..., Xn be a random sample from a l'(a, 3) distribution where a is known and 3 >…

A: Answer

Q: Use partial fraction decomposition to evaluate .3 x 2 x² + 4x +3 dx

A:

Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: - Suppose that a,b ER with a <b, and suppose that f an integrable function. Suppose further that for…

A:

Q: Please answer the 2,3 questions badly need help ty.

A: Answer(2) Given, differential equation  y" - y' - 12y = 0 can not we written using differential…