Find the area inside both r = 2 sin(20), r = 2 cos 0

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Q: If a, b and c are three positive real numbers, then find minimum value of a² +1₁ b² +1 + h+c c+a c²…

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Q: 1. Out of the 3000 families who live in an apartment complex in St. James, 600 paid no income tax…

A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Ex Look at the fixed point (1,11 of [x = x-y lý -1-xy Jacobian: J(x, y) = (y _x) J(₁, 1) = (1 - 1)…

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Q: the same nationality are

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Q: ن ظاظا 4. t 5. t 6. t

A: Part 4 The graph shows that as time increases the distance increases at a constant rate. So, the…

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Q: 1. Use Dijkstra's algorithm to find the shortest path length between the vertices a and z in each of…

A: Given Data: Let us consider the given two weighted graphs. To find: The shortest distance between…

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Q: (a) From first principles, find To(x), the Taylor series expansion of (1-x)-¹ about x = 0. Include…

A: fx=1-x-1

Q: Find the exact value that the sequence Σ(n=0, ∞) sinn 1 converges to. (Note n=0 that as usual, sinn…

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Q: (a) Using the chain rule, show that = 1, and (i) dt d² (ii) = 1/²-1/dr. (iii) Hence show that (*)…

A: (a) (i) Given t=es ⇒s=logt⇒dsdt=1t∴dxdt=dxdsdsdt⇒dxdt=1tdxds tdxdt=dxds  Therefore tD=tddt≡dds=D1…

Q: QUESTION 12 Suppose a triangle has the following vertices: 1 = (-2, 3) 2 = (4, 5) 3 = (3, 3) What…

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Q: Suppose that (A) Find all critical values of f. compute their average, and enter it below. Note: If…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 6. A = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5). R is defined on A as follows: b For all x, y e A, x…

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Q: Use Green's Theorem to evaluate F = (√x + 4y, 3x + 4y) [F F.ñ ds, where and C is the boundary of the…

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Q: S { 34 - 2² } ₁3

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Q: Find the proportion of the state 2 population that is in state 3 after two time periods.

A: As per the question we are given the initial population P and the state transition matrix T of a…

Q: 3u² Suppose w(x, y) = (x²y+e), where y=vsin(uv) and x=ln √2v value of method. dw dw ди ду when π √2…

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 4 sin(2x) y(x) =

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Q: Use A = {5, 6, 7, 8, 9} and B = {3, 6, 7, 8} to find the set An B.

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Q: Sketch the curve with polar equation r = cos(30), 0 ≤ 0 < 2π, plotting only the points with r≥ 0 and…

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Q: By using induction method, prove the following proposition: For every integer n ≥ 1 1+3+5+ +(2n-1) =…

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Q: 14. a. Let R be the relation of congruence modulo 3. Which of the following equivalence classes are…

A: As given R is the relation of congruence modulo 3. The integers which give same remainder on…

Q: Exercise 5.4.11 Find the matrix for the linear transformation which reflects every vector in R²…

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Q: T([])-[] ([-])- T Exercise 5.3.7 Let T be a linear transformation and suppose T [3] Find the matrix…

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Q: In the study of a nonlinear spring with periodic forcing, the equation y' + ky +ry = A cos wt…

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Q: Suppose the QR-factorization of A = QR is given as [2/3 -1/3] 2/3 2/3 1/3-2/3 Use it to find the…

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Q: For the objects shown on the left below, circle the letters corresponding to all possible…

A: 1 a, d 2 d, b Part 1: If there is a plane that cuts a three-dimensional object, then a cross-section…

Q: Find a potential function for F(x, y, z) = :yi+xj+xzk or prove none exists.

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Q: 1. For the matrix A = 0 2 -2 3 0 1 1 2 -1 a.) Find all eigenvalues of the matrix. b.) Find all…

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Q: Prove that for all integers n ≥ 1, 10" = (-1)" (mod 11). Use part (a) to prove that a positive…

A: (a) Let n≥1 be an arbitrary integer. We know that 10≡10mod 11≡-1mod 11. Now consider 10n:…

Q: K A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways…

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Q: solid in the first octant is bounded by the following surfaces: c. inside y² + z² + 8x = 32 b.…

A: A solid in the first octant bounded by under y=z  outside x2+y2-4y=0 inside y2+z2+8x=32

Q: c). Find how many subintervals are needed for the relative error of the midpoint Riemann sum to be…

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Q: Exercise 5.7.5 Let T be a linear transformation given by What is dim(ker (T))? +B-008 1 X y Z X Z.

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Q: Prove that 3! 2(n+3) Σε p=0 = V *C, (1 r+3 C,

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Q: Let U = {a,b,c,d,e,f, 17,18,19,20,21,22}, X= {a,b,c,19,20,21}, Y = {b,d,f, 18,20,22), and Z=…

A: We know, two sets A and B are said to be disjoint if they have no common elements that is their…

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Q: How do I find the value of x from this equation?: 4\sqrt(3)=\sqrt(24x)

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Q: John stands on the roof of a building and throw a ball upwards. The balls height above the ground is…

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Q: A single woman earned wages of​ $57,000, received​ $2500 in interest from various​ accounts, and…

A: Gross Income = 57000 + 2500 = 59500 Adjusted Gross Income = Gross Income - adjustments (In this case…

Q: 12. Calculate to the nearest hundredth side X of this triangle. O 3.77 3.75 3.71 3.73 6.200 5.600…

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