Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y dx – 6x dy, Cis the circle x? + y² = 4 буз -

Q: The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund…

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A: Napier's rods can be used to multiply two numbers having one or multiple digits. The digits in the…

Q: sin x Use a CAS to plot the region of integrati on for 0 y dx dy. Then use this plot to switch the…

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Q: valuate the region S: { S € C 4≤|z|≤8:π/4 ≤ arg(z) ≤ 7π/4} under the mapping f(z)= 3iz^1/2 +1+i

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Q: x = 4+5 sine and y = 1+4 cos e Part 1 of 2 (a) Eliminate the parameter and write an equation in…

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Q: Use mathmatical induction to prove that for all intergers n is greater than or equal to 1.…

A: For n = 1,       LHS = 4 [only 1 term]      RHS = 2.12 + 2.1 = 2.1 + 2.1 = 4 Hence, LHS = RHS.  So,…

Q: 12x5 + 45x4 – 80x – 5 and classify them. Round your Find the critical numbers of the function f(x)…

A: f(x) = 12x5 + 45x4 - 80x3 - 5 => f'(x) = 60x4 + 180x3 - 240x2                 = 60x2 (x2 + 3x -…

Q: Consider the equation of the surface S given by -2X“ - yPz° + xy = -4, where a is an odd number and…

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Q: 35-40 Fixed Points. Find all fixed points of 7 + 2 2i, - 1 35. w = 36. w = :+ 2i

A: 35. Given w = z + 2z + 1 if z is a fixed point then z + 2z + 1 = z⇒ z + 2 = z2 + z⇒ z2 = 2⇒ z = -2,…

Q: (8y – 2²y) +x – xy² = 0 dy +x – xy = 0 dx

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Q: 1. Solve the differential equation (x² + y)d.x + (x+ y²)dy = 0.

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Q: 2. A package contains ten yellow, six green, eight purple, and nine red candies mixed together. What…

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Q: steps in the process of simplifying the given matrix to​ row-echelon form, with 1s down the diagonal…

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Q: The differential equation governing the velocity of an object is dv = -kv", dt where k > 0 and n are…

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Q: Iz, where * and C is the cu se. Then the valu

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: To use linear approximation to estimate the amount of paint in cubic centimeter needed to apply a…

Q: 1 3 2 6 . -1 -3

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Q: 6.) Find a.) the characteristic equation and b.) the eigenvalues(and corresponding eigenvectors) of…

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A: Introduction: In sentential logic, a statement is constructed from simple statements by using…

Q: Let f : R → R given by f (x) = |x|. Show that f is a function. Is f injective? Is f surjective?

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Q: Determine the present value P that must be invested to have the future value A at simple interest…

A: The formula for simple interest is SI=PRT100. The formula for amount is A=P+SI. Given R=14.0%, T=6…

Q: H.W: which series converge and which diverge, and if a series converge find its sum: 1. Σ 3 2. Σ- 2"…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Chain rule and implicit differentiation Suppose that F(x,y,z) = 0 defines z as a function of x and y…

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Q: Q\Find T4 and T6 and the solution by trial and error, in detail, and steps TH - To 28.75- T6 0.2=

A: We need to solve 0.2=T4-T628.75-T6 We need to solve this using trial and error. Let us assume T6=1…

Q: 4. Consider the autonomous ODE, y' = f(y) = -y(y² – y – 6). (a) Identify the equilibrium solutions…

A: Introduction: When the differential equation is prescribed in the form of dydt=fy, the equation is…

Q: Let A be the matrix of the quadratic form below. It can be shown that the eigenvalues of A are 4, 7,…

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Q: 6. Show that if f : X Y and g : Y → Z are both onto then fg : Z -→ Z is onto. (Note this is function…

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Q: Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Let f: R2 → R be a function given by x²–y² if (x, y) # (0,0), f(x, y) = if (x, y) = (0,0). Using…

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Q: 10 (2). Let f be a function that admits continuous second partial derivatives such that Vf (x, y) =…

A: Introduction: Like a single variable function, a multi variable function can also have extremum…

Q: The number of carbon atoms in a fossil is given by the function y = 5100(0.95)x, where x represents…

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Q: 3. If x and y are two n-vectors, then prove that 1 (a) |x*y|< ]], \»l, - +=1 (Holder inequality) 1…

A: Given that x and y are two n-vectors. We have to prove the following :                          (a)…

Q: y 8 7 6 2. -8 -7 -6 5 -4 -3/-2 -1/0 12 3 4 56 7 8 3.

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Q: 5. Five hundred tickets will be sold and these will be raffled during the town fiesta. One of these…

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Q: Differentiability of Foxy) at point (d,6) Let f:R R be a Funetion given by xy x-y = Fory) if (y)…

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Q: 5. Prove that for any vector x, we have (a) 1, <H<#H, (b)

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Q: Differentiability of f(x, y) at point (a, b) Let f : R2 →R be a function given by if (x, y) (0,0),…

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Q: 2.) Let Tv = Av represent the linear transformation T: R2 → R3 where - 1 21 A = -2 4 L-2 2. Find a…

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Q: Jr, x € R, determine the nature of the origin as a 4. For the linear canonical system r' = fixed…

A: Given: The linear canonical system x'=Jx, where x∈ℝ2.   To determine: The nature of the origin as a…

Q: 6,6,6,6,8,10 - Find the standard deviation

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Q: 2017 J Q3 + V5 in the form a+bV5, where a and b are integers. Without using a calculator, express -2…

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Q: Chain rule and Suppose that F(x, y, z) = 0 defines z as a function of r and y and F is…

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Q: 2. Use Pascal's triangle given in Table 9.7.1 to compute the values of (9) a. (9) b. () с. d.

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Q: Question 4 Suppose that you discount the future hyperbolically. Assume that both B and 6 are…

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Q: 5. Using the Laplace transform, we want to solve the second part of the initial value problem when…

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Q: B1. (а) The unfinished Histogram and Frequency Table give information about the times, in hours,…

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: rb+c f (x)dx : f (x – c)dxr. a a+c Explain this result geometrically.

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