Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the circle r(t)= (c cost+m)i + (csint+n)j, 0≤t≤ 2. 1 Area of R=- xdy-ydx C 2

Q: 1. Specify the set A by listing its elements, where A = {x:x is a whole number less than 100 and…

A: Given A={x:x is a whole number less than 100 and divisible by 16}. Recall the concept of whole…

Q: QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of…

A:

Q: Let G = Z6 and H = (3). Write out he group table for the quotient group G/H.

A: Let G = Z6 and H = <3>. Write out he group table for the quotient group G/H.

Q: Describe the graph of the equation: r = 7ti - 8j + (1 + 9t)k. [Choose the correct answer.] O The…

A: .

Q: Find the following matrix product, if it exists. -1 1 - 1 3 -4 1 4 -2 -5 -2 0-1 Select the correct…

A: We have to calculate the given product.

Q: QUESTION 7 Suppose you deposit $10 every week into an account that eams 4% interest compounded…

A: As per our problem, d = $10 r = 0.04 N = 52 (52 weeks in a year) k = 5 years

Q: 0 N Consider the graph given above. Give an Euler circuit through the graph by listing the vertices…

A:

Q: QUESTION 9 Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate ending at (1,3) O a.…

A: Evaluation of the line integral over the curve

Q: Alex's Evil Twin wishes to steal 18 piece of candy from the 5 kids in his neighborhood. However,…

A:

Q: Find the general solution to the differential equation using undetermined coefficients. y" + 5y =…

A:

Q: (r2 – 4xy – 2y?) dx + (y2 + 4xy – 2x?) dy = 0 Solve -

A:

Q: Critic points of an equation problem: Consider the equation f(x, y) = x³y² + 4xy - 7x + 7y In the…

A:

Q: Let C be the curve represented by the equations X = 4t, y = t², (0 ≤ t ≤ 1). In each part, evaluate…

A:

Q: Find the inverse of A 1 1 16 2 5 3 1 1 1 2 02 2 3 1 3 3 59 3 2 7 1 3 using the cofactor method.

A:

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: 2. - 4x₁ + 2x₂ = -6 3x₁ - 5x₂ = 1

A:

Q: The parametric surface R (r, 0) = A = ) = r cos (i + r sin 0j + 0k, for 0 ≤ 0 ≤ 6π, 0 ≤ r ≤ 1, is a…

A: Given parametric surface  R→r,θ=rcosθi+rsinθj+θkfor 0≤θ≤6π, 0≤r≤1

Q: 2.f(t) = cosh wt sin wt

A:

Q: QUESTION 2 Which of the following triple integrals evaluates the volume of a different region than…

A:

Q: titute for x in 5x + y = 8 to solve the syster (5x + y = 8 x + 4y = 2 005

A: Option ( A) 2-4y is correct answer

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

A:

Q: Let T be a linear transformation from P₂ into P₂ such that T(1) = x, T(x) = 1 + x, and T(x²) = 1 + x…

A:

Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

A: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

Q: Let {ƒn (x)}~_₁ be a sequence of functions. ptwise Explain very clearly the difference between ƒn…

A:

Q: Find the determinant 4     -1     2      3 2      0      2      1 10     3      0      1 14…

A:

Q: 6. Let g(x)= Find the domain of g(x). x-4

A: Domain :- The set of inputs accepted by the function.

Q: Find the interval of convergence for 3x+1 Σn(n+1)*

A: Given series is ∑n=1∞3nxn+1n(n+1)

Q: 6. (a) Let T: L²[0, 2π] → L²[0, 2π] be given by 2п Tf(x) = S cos(xt) f(t) dt. Show that (i) T is…

A:

Q: 1. (a) Let denote the Euler phi-function. Find (105).

A:

Q: Given: f(x) = ln (1+x) Using the given function at x0=0, approximate f(3) by making use of the…

A: Given function: fx=ln1+x

Q: Find the time required for an investment of 5000 dollars to grow to 6200 dollars at an interest rate…

A:

Q: 3. Let p and q be the statements Express each of these a.) p q b.) ~pv (p^q) p: I bought a lottery…

A:

Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A:

Q: E1: Obtain the forward, backward, and central difference for du/dx for the function u(x,y) = 2ye-*…

A:

Q: 10. Let (G, *) be a group, and let H≤ G. Define N(H) = {x € G: x¹ *H* x = H} [Normalizer of H in G].…

A:

Q: Find the principal components of the sample covariance matrix below. S= 103.1 -32.8 -32.8 27.468 ...…

A: The principal components of the sample covariance matrix, ordered from heights variance to lowest…

Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

A:

Q: b) E Rif and only if a has the same first name as b. (Check all that apply.) Check All That Apply…

A: We need to check whether the given relation is reflexive, symmetric, transitive, antisymmetric. here…

Q: 1000 7. If a rectangular fence is supposed to have 3 pens, and in total enclose feet find the…

A:

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

Q: 4. If A is a nonsingular nxn matrix, show that AA¹ is nonsingular and det(AA) > 0.

A: Given A is a nonsingular matrix.

Q: B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M2. Each…

A:

Q: 8. Which of the following completes the sequence? quence? 3 ? A B с D

A: Expanation :  From given picture  Each curved arrow moves  clock wise direction  Step -1 :  One…

Q: dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and to approximate the…

Q: 2x 8+ 9+ 64x 3+ 3 1

A:

Q: 010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В…

A: Given that R1 and R2 be the relations on set A represented by the matrices…

Q: Question 1: Find the Laplace transform of the given functions by using the table of Laplace…

A:

Q: The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in…

A: First obtain the five number summary then use the formula for interquartile range (IQR), i.e.,…

Q: Exercise 7. Prove (using the definition) that f(x) = √x² + 1 is uniformly continuous on [0, 1].…

A:

Q: Let preferences of both individuals be given by log(ci) +log(c₂). Suppose that the endowment vectors…

A: