Use Green's Thoerem to evaluate F dr. where F(r, y) = (-3Vx² + 2, 7 tan '(x)) and C is the triangle from (0, 0) to (2, 2) to (0, 2) to (0, 0).

Q: Given the data 2 5 6 f(x) 4 5.25 19.75 36 a) Calculate f (4) using Newton's interpolating…

A: (a) Here the given data is  We know the Newton's interpolating polynomial is…

Q: Given the following statement -Q v (Q → P) Complete the truth table and answer the question below P…

A: .

Q: 1. We consider a function g(t) that is equal to t for 0 < t < 3. Over this range, g(t) = t. Write…

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Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

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Q: A. Determine whether or not the two events are mutually exclusive, write (ME) if mutually exclusive…

A: Mutually exclusive is a statistical term that describes two or more events that cannot occur at the…

Q: Heights (in inches) obtained by a group of people in a random survey are reported in the following…

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Q: Solve the equation cosh 2x + cosh x = 5 , giving x to three dec. places.

A: We have to find value of x.

Q: 3- Let {u,v,w} be a basis for a vector space V. Is {u + v,u + w,v + w} a basis for V?

A: Solution

Q: * Homew. Σ in The following table shows the results of a survey of authors by a fictitious…

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Q: Let u = (2+i,0 +i), v= (1+2i, 3) e C². Using the Euclidean Inner Product for C, answer the following…

A: (d) To show: u and v are linearly independent. (e) To orthonormalise the set of vectors {u,v} using…

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y2+ 5z2 and the…

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Q: Let f: D1(0)- C be analytic on D1(0). Let g(z) = f(z) for z E D1(0). is analytic on D1 (0) and find…

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Q: Let D be the region in the first quadrant (z> 0, y> 0) of the ry-plane bounded 3. by the curves y =…

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Q: 2 1 2 3 4 5 6 7 8 2 to z = 7 using a Left Endpoint Approximate the area under the curve shown above…

A: The left point approximation of a function f(x) over the interval [a,b] with n subintervals is given…

Q: 1 f (x) dx = f + f 3 -1

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Q: Problem 4 Expand f (2) = in powers of (z – 11) . Also clearly mention the domain in which this…

A: Given f(z)=1/(z-10) in powers of (z-11)

Q: nan = 2 ,nb, = 0. Determine whether the following converges or diverg or no conclusion can be made.…

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Q: Let B = {u, v, w, x, y} be a basis for vector space V, and let S = {u+ w, v, y} What is the…

A: Given basis is B = {u, v, w, x, y}

Q: 11-14 Describe in words the surface whose equation is given. 11. 0 — п/4 12. r = 5 13. ф T/3 14. р —…

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Q: Among all the numbers between 40000 and 90000, including the numbers 40000 and 90000, how many each…

A: The total number of numbers between 40,000 and 90,000 is 90,000-40,000+1=50,001. First calculate the…

Q: Find 3s + 8 s2 + 2s + 5

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Q: The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.) y4 1- Find…

A: We have to draw graph of y=|f(x)| from graph of y=f(x)

Q: In 4: 7: :16: 28, 7 and 16 are called a. Common factor. b. Mean terms. С. Extreme terms. d. None of…

A: We know that, if                        a : b : : c : d Then, b and c are called mean terms.

Q: 8s+2 (c) F(s)=7+s+20 %3D (d) F(s) = 5s+3 (s+1)(s+2s+30) (e) F(s) = +4 2+2 %3D S+1 s(s2+4) s+9 2(s+1)…

A: We shall find the time functions corresponding to the given Laplace transforms: (c) Fs=8s+2s2+s+20…

Q: Show that

A: (i) To prove that                   22+42-822+3=0

Q: Suppose a firm's cost function is given by C(w), wz, y) = Kufw-"y where w, and y denote the price of…

A: Given that,  Firm's cost function;  Cw1,w2,y=kw1aw21-ayb                                         (1)…

Q: Two sphere of radii r1 and r2 cut Orthogonally prove that the radius of common circle is (r1r2)…

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Q: Use a graph or level curves to find the local maximum and minimum values and saddle point(s) of the…

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Q: 2. We have seen that the FTC for line integrals implies fc Vf - dĩ = 0 for any smooth closed path C…

A: FTC for line integrals implies ∫C∇f·dr→=0 for any smooth closed path C and any smooth function f (a)…

Q: 6. Consider the horizonal strip 2 = {z+ iy : -1 < y < 1}. There exists a holomorphic function f on…

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Q: The figure shows the region of integration for the integral. (x, y, z) dy dz dx Rewrite this…

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Q: 1-Determine if W is a subspace of Mnn CEMn, W = {A€Mn: CA°C1 = A}

A: W is a subspace of V if:  u,v∈W ⇒ u+v∈W au∈W, a  is a scalar Now, we have W=A∈Mnn : CAtC-1=A Let…

Q: Show complete solution similar in the picture below 9610 B2 B8 B16

A: Conversion of base 10 to base2, base8 base 16

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. x/2 3/4 y/4 y/2

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Q: 5. Find the value of o(e) for a solution o(x) to the initial value problem: a?y"-xy' + y = 4x ln x;…

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Q: 37) Website popularity ratings are often determined using models that incorporate the number of…

A: Given , P(x) = log(x-4)Where P(x) is the website's popularity rating.and x is the number of visits…

Q: The random variable X has the probability density function ((x) given by: f(x) = x', 128 Ix a) =…

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Q: 3 Show that the series E: is convergent and find its sum. (n+3)(n+4) n-1

A: Simplify the general term of the given series.…

Q: If you have a dynamical system an+1 = raŋ+ b, b ± 0 and |r| > 1, then graph is a line with no…

A: Given an+1 = ran + b, b ≠ 0 and |r| &gt; 1

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: Consider A = (x, y,z) and B = (w,x, y). If U = A U B, which set is equal to (B\A)'? Note: B\A = B-…

A: The union of set A and B is denoted by A∪B has elements both inset A and B The complement of A has…

Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3. 5. Write the formal proof…

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Q: A square n x n matrix is called skew-symmetric (or antisymmetric) if AT skew-symmetric and n is odd,…

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Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the income…

A: From the given information, The probability of hitting the oil is 140 and the income for the oil hit…

Q: Problem II Consider the functions f : R? R? cos(x) Question 1 The function f is one-to-one. O True O…

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Q: Factorize the matrix into LU decomposition. A=[ 054 512 123 Note; With complete solution

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Q: What is the Laplace transformation of  L{e-2t cosh (4t) + e-2t sinh (4t)}

A: Here we can use the following formula Lcoshat=ss2-a2Lsinhat=as2-a2andLe-atft=Fs+a   where Lft=Fsthe…

Q: (a) The nth term of a sequence is 6-2n Work out the first three terms of the sequence. (b) Here is…

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Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

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