What is the value of f 4xy²dx + (4x²y + 2)dy when C is the part of the circle x² + y² = 1 from the point (1,0) to the point (0,1) traveling counterclockwise?

Q: Distance (m) B6U2 0864 18 16 14 12 10 2 Distance Vs. Time

A: d) 8 meters are traveled in 1.5 minutes. ans: 1.5 minutes

Q: Given that the vector field F= (x²,y²,z²) is conservative, which of these represent a valid…

A: This is a problem of Vector Calculus.

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Q: Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB)-C=(A-C) U (B-C); (c)…

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Q: Proposition 7.6.15 Any strong interval-valued fuzzy graph is balanced.

A: Kindly refer to Step 2 for the solution.

Q: 8 n=1 8 n=1 Determine if series converges absolutely and/or conditionally. sin³ n + cos n 2n (-1)"n…

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Q: 2xyy' = y² = x²

A: We can solve the given differential equation.

Q: 6.11. (a) Prove that G acts transitively on X if and only if there is at least one x Є X such that…

A: Note that 6.20 is not attached here, So we proceed according to the definition which is standard in…

Q: 0 r

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Q: 0 1 2 4 5 Distance (m) ONASHONIST

A: d) 8 meters are traveled in 1.5 minutes.

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Q: Find the scalar potential for the conservative field: F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy+9)k…

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Q: Evaluate the expression. 6P3

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Q: Evaluate the integral curve joining (1, 2) to (2, 2). Enter an exact answer. 1 !(-))) i 2x²y²…

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Q: n=1 f) Σ n=1 Determine if series converges absolutely and/or conditionally. sin n + cos n n2n (-1)³n…

A: To determine whether the given series is absolutely convergent or not.  We know that series ∑n=1∞an…

Q: Let f: R²R be defined by { f(x, y) = x y = 0, y = 0. Show that the first partial derivatives exist…

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

A: We will use newtons approximation to find zeros  of the function f(x)=6x-8+x2 which will ultimately…

Q: equations, x=4t​, y=−5t+6​; −10≤t≤10. Complete parts​ (a) through​ (d) below.   Make a brief…

A: We can firstly complete the table and after that eliminate 't' and find curve .

Q: An election ballot asks voters to select four city commissioners from a group of sixteen candidates.…

A: We know the combination formula which gives the number of possible combinations if r items are taken…

Q: Question 7. - 12 (s + 9)² where b, c and w are constants and t represents time. The inverse Laplace…

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Q: Deduce the conclusion from the premises giving a reason for each. a. pv q b. q→ r c. past d. ~ r e.…

A: Kindly refer to Step 2 for the solution.

Q: You can afford monthly deposits of $250 into an account that pays 2.4% compounded monthly. How long…

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Q: Problem 1. Let E be a real vector space, F be a closed subspace of E, and a € E\F. Set d(a, F)…

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

Q: 3. Two ordinary differential equations in terms of unknown functions u(x) and v(x) are given below.…

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Q: Consider the line integral F F. dr, where F(x, y) = = - (₁. X Select the correct answer below: y…

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Q: For each of the following three systems of equations: (a) Construct the associated augmented matrix…

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Q: 1. y" - 2y' e* sin x = 2. y" - 6y' +9y = x-²e³x 3. y" - 4y' + 3y = 2 cos x + 4 sin x

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Q: One branch of the curve r = 3 sin(30) is shown. 2 An integral to find the area of the region is de…

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Q: By using remainder estimation for integral test, display an argument to estimate the sum 1

A: Error estimation and integral test

Q: A shallow vessel for a chemical process is required in the form of an inverted cone, where the…

A: We will find capacity in a single variable and then use calculus to maximize it by using following…

Q: Using this table as needed, calculate the required information for the mortgage. (Round dollars to…

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Q: Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 3y" - y' - 4y =…

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Q: For each of the following functions, determine whether it is holomorphic at infinity, and if it is,…

A: To Check: Whether the following functions are holomorphic at z=∞ or not and then, To Find: Power…

Q: Evaluate using any method you want: 32 - 16 dz

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Q: ind the area of the region. See Examples 1, 2, 3, and 4. 7(x³ - x) f(x) g(x) = 0 = -2 10 00 6 - 2 -2…

A: Given a two function : f(x)=7(x3-x) and g(x)=0 We have to find the area of the region formed bounded…

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Q: Find the Laplace Transform of the following function. -{8 cost 0 <t< t2n f(t) =

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Q: Let C be the straight line curve between the points (0, 18) and (1,0). Let the unit normal vector…

A: Given: Fx, y=x , 2 To find: ∫C F·N

Q: Problem 9 (Extending Lipschitz functions). Assume AC Rm, and let f : A → R be Lipschitz. Show that…

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Q: 31. In right triangle ABC, b= 11 and a= 18, and

A: Introduction: The length of the triangle is essentially related to the cosines of one of its angles…

Q: A committee of 4 students is to be selected from 15 students in a fraternity. a. In how many ways…

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Q: (a) Find the critical point of f(x, y) = (4x² − y) (x² + y). (x, y) = (0,0) (b) Find the…

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Q: Find the integral of the following function by resolving into partial fractions, then select your…

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Q: Suppose R, S are equivalence relations on set A. Prove or disprove that (a) R-¹nS is also an…

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Q: Part I Each of the following is a formal proof of validity for the indicated argument. State the…

A: Since you have posted a multiple question according to guildlines I will solve first(A)   question…

Q: Proposition 7.6.16 Let G be a self-complementary interval-valued fuzzy graph. Then D(G) = (1, 1).

A: Kindly refer to Step 2 for the solution.

Q: Suppose that two people standing 6 miles apart both see the burst from a fireworks display. After a…

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Q: Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use…

A: Given: R is the parallelogram with vertices 0 , 0 , 3 , -1 , 4 , -4 and 7 , -5. To find: I=∬R 3x+2y…

Q: The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function.…

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