1. Evaluate 1² 2x dA, where D is the region in the xy-plane bounded the curves x=y-6 and x² = y.

Q: describe the set of points that satisfy |z+1- i| = 1

A: z+1-i=1⇒x+iy+1-i=1⇒(x+1)+i(y-1)=1⇒(x+1)2+(y-1)2=1⇒(x+1)2+(y-1)2=1

Q: The x-component of the velocity vector is measured, at points A, B, and C 5 mm apart, as 11.3, 12.6,…

A:

Q: I want to solve the non homogeneous equation 3y^2 + 7y + 2 = e^(2t). The way I want to solve this…

A: 3y''+7y'+2y=e2t Note: Given non homogeneous equation 3y2+7y+2=e2t. Correcting it to 3y''+7y'+2y=e2t

Q: Find P(x ≥ 3).

A:

Q: All vectors and subspaces are in R™. Check the true statements below: A. If the vector v is not in…

A: A. True.  Since v is not in the subspace W, so projection of v onto the subspace W cannot be v…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A:

Q: The figure below shows contours of g(x, y) on the region R, with 7≤x≤ 13 and 4 ≤ y ≤ 10. 4…

A: The curve given in question . Our objective is to find the area in case of overestimate and…

Q: ^-1 13. (a) Find all eigenvalues and corresponding eigenvectors of A = (b) Explain how you can…

A:

Q: 3.12 Let Y be a random variable with p(y) given in the accompanying table. Find E(Y), E(1/Y),…

A:

Q: 36y" - 12y' + y = f(x) Find the linearly independent solutions of the associated homogeneous…

A:

Q: Let W(s, t) = F(u(s, t), v(s, t)) where u(1,0) = -2, u, (1, 0) = 8, ut(1,0) = -4 v(1,0) = -3, v.…

A:

Q: Proof (2). Consider makking from xxx to F and the partial sum For n>j, we define x = n=1 S₁ = [α₁x…

A:

Q: Use ƒ' and ƒ" to complete parts (a) and (b).a. Find the intervals on which ƒ is increasing and the…

A: f(x)=xx+9 To find: (a) The intervals on which f is increasing and the intervals on which it is…

Q: 1. Find the integral of each of the following: √2x²-3x+1 b. f 2. Find the integral of each of the…

A:

Q: In Exercises 1-6, find the general solution of the differential equation specified. 3 1. 3. 5. dy dt…

A:

Q: Suppose ƒ: R → Z, where f(x) = [x+¹] i. Graph the function f(x). ii. If A = {x: 1 ≤ x ≤ 3}, find…

A:

Q: In each of Problems 9 and 10, use Euler's method to find approximate values of the solution of the…

A: Given: The initial value problem is given by,           y'=5-3y,  y0=2 Also, given that h=0.1. To…

Q: Current Attempt in Progress Find the equation of the line tangent to y = f (x) at x = 1, where f(x)…

A:

Q: What is the matrix P = (P; ;) for the projection of R³ onto the subspace V spanned by the vectors 1…

A: Given Data: Let us consider the given data, a1=122 , a2=2-32b=35-3 To Find: The value of P1, P2 and…

Q: Problem 2. Consider the following matrix 2 -1 0 -1 0 2 -1 -1 2 Carry out the first three iterations…

A: Given: The given matrix is: 2-10-12-10-12

Q: 5. X1 +х2 -3x1 + 2x3 х2 - 2х3 || 0 2

A:

Q: Henry and Samantha have decide to gamble on a game of chance. Initially, each of them has 2 dollars.…

A: Given that Henry and Samantha have decide to gamble on a game of chance. Initially, each of them has…

Q: Oppgåve 1. we have to linear transformations T: R³ R², S: R²→R³ where T is given by matrix A and S…

A:

Q: Hernandez Engineering borrows $6,500, at  8 1 2%  interest, for 120 days. If the bank uses the…

A: Borrowed amount (P)  = $ 6500 Interest rate (R) = 8.5 % = 0.085 Time (T) = 120 days = 120365year

Q: What is the length of each side of the right triangle, inside the unit disk, that opens with angle…

A: Let us consider a unit circle centered at the origin of a two-dimensional Cartesian coordinate…

Q: The system of linear equations: x1 + x₂ + x3 2x1x2x3 is: Select one: a. = 6 3 = a 2 x 3 inconsistent…

A: System of linear equations

Q: Compute 21200 mod 27.

A: We see,         21 ≡ (-6)  mod 27     => 212 ≡ (-6)2  mod 27                 ≡ 36  mod 27…

Q: Turn y" - 3y" +5y' +10y = 0 into a system of differential equations. Write your answer in the form…

A: The given differential equation is y'''-3y''+5y'+10y=0 We have to write the given differential…

Q: Maximize the function P= 10x - 4y subject to What are the corner points of the feasible set? The…

A:

Q: y"+yy'= 0, y(0)=1, y'(0) = -1

A:

Q: for distinct constants a, b, c. Let L[y] be the differential 4. Suppose that p(r) = (r—a)(r−b)(r-c)…

A:

Q: Let T: R² → R² be the linear transformation that first rotates points clockwise through 120° (2/3…

A: Let T:ℝ2→ℝ2 be the linear transformation that first rotates the point clockwise through 120° and…

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: Given: A function fx ,y=x3+y3-3x2-9y2-9x. To Find: Maxima, Minima, and saddle points and also plot…

Q: Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your…

A: Here, principal amount, P = $4000. Rate of ingerest, r = 6% Time duration, t = 12 years.    Since,…

Q: a = 4 9₁ = and b = 92 = 5 3 Use the Gram-Schmidt procedure to determine an orthonormal basis {q₁,…

A:

Q: ferring to Figure 11, suppose that fF.ds = 5n, fF.ds = 5x Green's Theorem to determine the…

A:

Q: LetGbeadigraphwithV={a,b,c,d,e}.Forwhichofthefollowingsets of arcs does G = ⟨V , A⟩ contain a…

A: Let G be a digraph with V={a, b, c, d, e} and given some sets of arcs. The objective is to find the…

Q: Compute the rate (in %) for the loan. Round answers to the nearest tenth of a percent; use ordinary…

A: Let the annual rate of interest be r%. Then,      Interest = Prt/100     P : Principal amount    r :…

Q: Prove that all even perfect numbers n is of the form (2-1)2P-1, where 2P-1 is prime. 11

A: Given: 2p-1 is prime. To Prove: All even perfect numbers n is of the form 2p-12p-1.

Q: Use the method of cylindrical shells to find the volume V of the solld obtained by rotating the…

A:

Q: = (19) Let om : Z → Zm be the ring homomorphism defined by σm(a) = remainder of division of a by m.…

A: Ans-19)We are given in the question (19) Let om Z→ Zm be the ring homomorphism defined by om (a) = =…

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A:

Q: (5) Sketch each function and determine its Fourier series. Let f(x)=x, where 1<x<2.

A:

Q: A scientist observed that the speed S at which certain ants ran was a function of T, the ambient…

A:

Q: Find the region E for which the triple integral (4-92²-9y²-92²) dv is a maximum, and compute this…

A:

Q: a. b. Consider VC with the dot product and the subspace E = span {(1, 0, 1, 1), (i, 0,-1, i)), ² =…

A:

Q: Show that (-3) = 1 if q = ±1 mod 12 -1 if q = ±5 mod 12

A:

Q: 2. Solve the initial value problems 2.1 x²y + xy + y = 0, y(1) = 1, y'(1)=2 2.2 x²y"-3xy' + 4y= 0,…

A: (2.1)  Given IVP is x2y'' + xy' + y = 0   ,    y1 = 1 ,  y'1 = 2                    Tis is…

Q: Use the equation Ax = Ax to determine which of the following is an eigenpair for the linear…

A:

Q: Compute 25200 mod 27.

A: As 25 is coprime to 27, by Euler's theorem, we see        25φ(27) ≡ 1 (mod 27)  Now,        φ(27) =…