Using Green's theorem, evaluate [F(r). dr counterclockwise around the boundary curve C of the region R, where F = [ety, e-], R the triangle with vertices (0,0), (5, 5), (5, 10). NOTE: Enter the exact answer. [F F(r) dr =

Q: Determine the accumulated value after 13 years of deposits of $215.00 made at the beginning of every…

A:

Q: b~: d bad b d bed d~:: b~ b=d d :: b~ b=d

A:

Q: 1 lim h-0 00 04 O-1 01 ODNE O None of the above 1 (5 (2) √5²) 5 00 01 2 18116 7 30 +h) - 2 + 0′(1).…

A:

Q: (e) 2y7y + 3y = 0, y(0) = 0, y (0) = 2 (f) y − 4y +5y = 0, y(0) = 1, y (0) = 0

A:

Q: Compute the volume occupied by revolving a circle of radius 3 m from the axis about 10 m radius away…

A: Sol:- To compute the volume of revolution, we can use the method of disks. We can slice the solid…

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Given: y=4x3+32   . . . (1) We have to find the equation of the tangent line to the graph of the…

Q: Compute Aa and Ay A: (-6, -1) and B: so Ax= The instantaneous slope of f(x) when f(x) is rational…

A:

Q: A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0 at the point…

A:

Q: Show that the application of L'hopital's rule is relevant for lim (+). X-1

A:

Q: Determine the transfer function of the system represented by the ODE: y"(t)=6y'(t)+2x(t)-4y(t) where…

A:

Q: et T:R² R² be a linear transformation that maps x into X1V1+X2V2. Find a matrix A such that T(x) is…

A:

Q: Show that the area A of a bounded region R of the surface z = f(x, y) is A = [[₂√¹ + S² + S² dx dy.…

A:

Q: DIRECTION: Use the formula below to solve for the derivative of the following. Show the complete…

A:

Q: Section 1.8 Problem 5. Mark each statement True or False, and justify your answer. (T/F) A linear…

A:

Q: Approximate the integral by dividing the domain into a 3x3 array of congruent cells and selecting…

A: To approximate the integral using the midpoint rule with a 3x3 array of congruent cells, we first…

Q: roblem 7: (4.10) Show that for any integer n ≥ 1, we have n Σk(k+1) = k=1 n(n + 1)(n+2) 3

A: We have to find the sum of the given series  ∑k=1nkk+1 .

Q: Question 2 Let f be the function given by f (x) = ²e. It is known that S f(x) dx = 0.160603. If a…

A:

Q: Solve the Bernoulli IVP, x²y' - 2xy = 3y¹, y (1) NIT 2

A:

Q: (14.)(a) Prove or disprove: If ab= 0 (mod n), then a 0 (mod n) or b = 0 (mod n). (b) Do part (a)…

A:

Q: Select all statements below which are true for all invertible n x n matrices A and B A. A6 is…

A:

Q: Find the general solution of the given higher-order differential equation. y" - 6y" - 7y' = 0 y(x)

A: This question is about ordinary differential equation.

Q: 1. Suppose that a particle moves according to the law of motion s(t) = 4, 20. (a) Find the velocity…

A: Note: As per our Guidelines, we can solve first question. Please repost remaining questions.

Q: Given the matrix find A³. Write A³ as input your answer below: -1 a 11 a12 = 8 a21 = 0 a22 = -27 A…

A:

Q: 8. Consider the homogeneous equation with nonconstant coefficients 1 y" + ² y′ + 1⁄2 y=0 for x > 0.…

A:

Q: A. Find (a, b) and find x and y if ax + by = (a, b) 1. a = 35, 733, 2. a = 7,969, 3. a = 11, 178, B.…

A:

Q: A candy company has 195 kg of chocolate-covered nuts and 105 kg of chocolate-covered raisins to be…

A: Let, x: Kg of the half nuts and half raisins misture, and y: Kg of the 3/4 nuts and 1/4 raisins…

Q: 2 (e) Ë(-1)^ () ² - k=0 ={₁ (−1)m (2m) if k is odd; if n = 2m.

A:

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A:

Q: Using all three conditions of continuity, determine if the following functions are continuous at x =…

A: We can determine whether the function is continuous or not.

Q: T: R²R¹, 7(e₁)=(2, 1, 2, 1) and 7(e₂) = (-5,2,0,0). where e₁ = (1,0) and e₂ = (0, 1)

A: Rule to find standard matrix is to find matrix with respect to standard basis of both domain space…

Q: B. Find the inverse Laplace transform using the following methods: I. Using Partial Fraction…

A: Sol:- L-16s+17s2+8s+17Expand 6s+17s2+8s+17:  6·s+4s+42+1-7·1s+42+1=L-16·s+4s+42+1-7·1s+42+1Use the…

Q: 22. f (x) = 4 sin ( (x − 3)) - + 7

A: Given: The sine function is given as fx=4sinπ2x-3+7. To find: Amplitude. Period. Mid-line. Minimum…

Q: Solve the partial differential equation      (D^2-DD'-2D'^2)z=x^3 Where D=z_x  , D'= z_y

A: Given partial differential equation is                     D2-DD'-2D'2z=x3   where   D≡∂z∂x  and…

Q: 12. : R³ → R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) = (-5, 4), where e₁,e2, e3 are the columns of…

A:

Q: can someone do d

A:

Q: 1-3 2 Exercise 3.8.102: Compute eta where A = -2 12 e¹A [ -1-3 4

A: Given: A matrix A=1-32-212-1-34 To Find: Compute etA

Q: 3. The following functions all have domain {1,2,3,4,5} and codomain {1,2,3}. For each, determine…

A:

Q: The Laplace transform of y(t) = e-2t . t

A: By first shifting property of Laplace transform; L[e-at.f(t)]=F(s+a) where…

Q: Determine the Laplace transform of the ODE: y' (t) = 6y' (t)- 4y (t) + 6x (t)

A: Given: Ordinary differential equation : y"t=6y't-4yt+6xtTo find: The Laplace transform of given…

Q: H3. Solve the following differential equations d²y dy + - 2y = 0, dx² dx 1) 2) +2. +5y = 0, dx y(0)…

A:

Q: Find the volume of the bounded by Z = 6-x² - y² and 2 = √√√x² + y² by setting up a triple integral…

A:

Q: Inference Accept the following Premises 1. 2. 3. If fish can fly, birds can Swim If birds can swim,…

A: We have been given: 1. If fish can fly, birds can swim. 2. If birds can swim, squirrels can talk. 3.…

Q: determine the general solution to the system x′= Ax for the given matrix A

A: Given: A system x'=Ax for the given matrix A=1234432145677654. To Find: The general solution of the…

Q: For a random sample of households in the US, we record annual household income, whether the location…

A: Given, Household income of east missisippi and household income of west missisippi.

Q: For each statement determine that if we need a function or binary relation. What are the domain and…

A:

Q: Say whether or not each of the following is a linear program. If it is a linear program, then…

A: This is not a linear programming problem. Observe that the objective function that is to be…

Q: whats 2+3

A: '+'  is the symbol of addition. That means we have to add the given numbers

Q: Find the volume V (S) of the solid S generated by revolving the given region R where R is bounded by…

A: To find the volume of the solid generated by revolving the region R bounded by y = 2x + 3, y = -1…

Q: #7. Show that if fizZ) is analytic in some domain I which is symmetric about pure imaginary axis…

A: Since D is symmetric about the y-axis, we can write any point z in D as z = x + iy, where x and y…

Q: Suppose f(x) = ∞ 2.9 5" n! (x − 3) n To determine f(2.9) to within 0.0001, it will be necessary to…

A: Given Data: Let us consider the given data, fx=∑n=0∞5nn!x-3n