Let C be the positively oriented circle x? + y? = 1. Use Green's Theorem to evaluate the line integral Sa 14y dæ + 3x dy.

Q: 8+34-362

A: Given expression is 8+34-362. We have to simplify the given expression. 8+34−362=42−362=−320 Hence, ...

Q: (d) Find the eigenvalue. and bases for the eigenspaces of A+3I and A-1. -21 2. V VIInnITT ATA TA -2 ...

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Q: Find the general (real-valued) solution of the following differential equations. If an initial condi...

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Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines ...

A: Introduction: From a set of n distinct object, r distinct object can be selected following no repeti...

Q: Prove that if n, k are positive integers with k | (n +4) and k| (n – 1), then either k = 1 or k = 5....

A: k | (n+4)  k | (n-1)  => k | {(n+4) - (n-1)} => k | 5

Q: Find the general (real-valued) solution of the following differential equations. If an initial condi...

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Q: Use elementary row or column operations to evaluate the determinant. 2 0 4 6. 4 5

A: we can use elementary row operation and make a diagonal matrix first and after that we can find dete...

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Q: 4. 9in 18in

A: To find the area of the figure : Calculate the area of the trapezium and area of the semi circle and...

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Q: An operator T: IR" → IR" is called a self-adjoint operator if [T]®p is a symmetric matrix, where B i...

A: I will find the matrix associated to the given linear transformation and check whether it is symmetr...

Q: csc x du If u = f(x), then ... dx = Compute f (). sin x – cos x A B -1 1 2

A: Correct ans is option A

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A: Convergence of the series

Q: 3. Use the Wronskian to determine whether the functions fi = e*,f2 sinx and f3 = x are linearly inde...

A: To find- Use the Wronskain to determine the functions f1 = ex, f2 = sinx and f3 = x3 are linearly in...

Q: 1. Which of the following sentences are propositions? For those indicate the truth value. a. 123 is ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 31. In an oblique spherical triangle ABC, a = 30°, b = 15°, and c = 37°, find A. A) 37.2° в) 33.4° C...

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Q: 1. Evaluate the integral: I = 2x drdydz where the solid S is defined as: S = {(r, y, z) E R³:x > 0; ...

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Q: prove that (sin?acos?a)(tan²x + cota + 2) = 1

A: Here we use simple geometry to prove this

Q: Let C denote the unit circle centered at the origin in C. Then r 1 |1+z +z** dz , 2ni z²l dz , where...

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get ...

Q: -24 Using polynomial interpolation of the data above, find: a. the degree b. the polynomial equation...

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Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

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Q: A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x² – y? + 6y if they open a ...

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Q: Showing all your working, find the solution set which describes the area shown in purple in the atta...

A: Find the solution set that is represented by the shaded region. The region is in the first quadrant....

Q: Find the function y of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions 1 (0) ...

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Q: Q8. Find f(0.25) for 0.1 0.2 0.3 0.4 0.5 f 9.9833 4.9667 3.2836 2.4339 1.9177 a) By Newton's divided...

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Q: 1. Determine in each case, if the given * has an identity element e. Now, if e exists, determine the...

A: Identity element of a group G

Q: Find a fundamental set of Frobenius solutions of (4x + x')y" + (2 + 6x²)y' +4xy 0 and write the expl...

A: 4x+x2y"+2+6x2y'+4xy=0---1 Rewriting, y"+2+6x24x+x2y'+4x4x+x2y=0 Px=2+6x24x+x2, Qx=4x4x+x2 As xPx and...

Q: Find, if possible, A + B, A - B, 2A, 2A – B, and B+ A. (If not possible, enter IMPOSSIBLE in any sin...

A: We need to find the given sums by using the matrices A and B

Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: Determine if the statements below are true or false. Make sure to justify your answers! You will rec...

A: We will use basic concepts of eigenvalues and eigenvectors and linear transformation 

Q: Q4. Check the following set is a subspace of R3 or not U = ((x1, x2,x3)| x, = v2 x} %3D

A: The given subset of ℝ3 is: U=x1, x2, x3 |x2=2x1 Definition: Let W be a subset of the vector space V....

Q: 3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1. - cos t sin t A(t) = 3 -1- sin t cos t...

A: We will solve the first two subparts for you completely and properly for you as per our company poli...

Q: Prove that 3 and 1+v-5 are relatively prime in Q(V-5), but that there exist no integers A, µ E Q(v-5...

A: We will use the basic knowledge of ring theory and UFDs to answer this question properly, in detail.

Q: Let  : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (...

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Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: dy 1. Let c be a constant and consider the differential equation = x² + cxy + y². What is the dx com...

A: We will use the basic knowledge of ordinary differential calculus to answer this question properly, ...

Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: Rochelle invested $100 at the end of every month into an RRSP for 11 years. If the RRSP was growing ...

A: Given information Initial principal balance P=$100 Rate of interest r=4.60% ⇒r=4.60100=0.046 Period ...

Q: 9 Let g(z) O is a z3 sin(2z) a) a simple pole of g(z) b) a pole of order 2 of g(z) c) a pole of orde...

A: Given- Let gz = 9z3 sin2z To find- 0 is a a simple pole of gz a pole of order 2 of gz a pole of ord...

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Q: There are three children in the Skosana family. Each week the eldest earns R270, the middle child ea...

A: The comparison of two numbers  by division is known as the ratio. It is denoted by symbol ":" A rati...

Q: 3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by: V...

A: As per the guidelines I'm able to give you only one answer because this question is not a subparts.p...

Q: For this question, suppose your value function is is vfor gains and vfor losses. Last night, you los...

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Q: Let g(x) 3 +x+7. = X i) Find a solution to g(x) in Z/21Z. ii) Find a solution to g(x) in Z/3969Z whi...

A: We will use the basic knowledge of polynomials and congruence to answer this question and its both s...

Q: Construct the truth table of each given compound statements for every item. If the truth values of t...

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Q: Find the general (real-valued) solution of the following differential equations. If an initial condi...

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Q: Prove that if {Vi, V2, v3} is linearly independent, then so too is the set {u, u2, u3 where u = V - ...

A: Introduction: Linear dependence and linear independence of a given number of vectors are very signif...

Q: The vertical stress increment (Ao) due to a point load acting on the surface of linearly elastic med...

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