1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 1 from (–1,0) to (1,0).

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: 2 - 2 13) Ans. 3,-2; 6, 2; 9, | -2 0 7 |2 62

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Q: 2. a. Give examples of void set, singleton, power set and univeršal set b. If A = {1, 2, 3, 4}, B=…

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /y) + log3(x – y)' |- Answer…

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Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

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Q: s) sohne rec'x pecy dx + sing dy = 2

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Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: 3. Express (j-3)° in rectangular form. 4. Express (-2/3 + j2) in rectangular form. (j4 +43)(2cjs…

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Q: Find the volume of the solid generated by revolving about the y-axis hte are bounded by y = x2, x=2…

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Q: Question 4 Which of the following does not imply that / is a maximal ideal of the ring R? R=Z and /…

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Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

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Q: Solve dy = x [4+ 3x sin (ay) cos (ay)]

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Q: x + 1 x3 +1

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Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: Questions: Solve the differential equation below over the interval from x = 0 to 1 using a step size…

A: According to guidelines we can solve only 3 subpart

Q: ди(х,у) а) ди(х,у) = 0 ду ди(х,у) ди(х,у) b) ax - и (х, у) ду

A: (a) We have given a partial differential equation ,  ∂u(x,y)∂x - ∂u(x,y)∂y = 0 We will use…

Q: Given f(x) = |x| for x € [-n,1]| Show that cos(2n – 1)x |x| 2 \xl = -- - (2n – 1)2 n=1 2.

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Q: In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for each…

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Q: A number is divided into two parts, such that one part is 10 more than the other. If the two parts…

A: The ratio between two parts are 5:3. Consider two parts are 5x, 3x. The difference between two parts…

Q: 2. Identify the locus, discuss the properties and sketch the graph of the following equations: 1- 2…

A: We have to solve given problems:

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Given the following function. 1, -1<x< 0 f(x) = x = 0 on [-1,1] X , 0 <x<1 (ii) Find the Fourier…

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Q: Consider, dy 2r + 12x? – 20x + 8.5 Find the solution of the given ODE from x = 0 to x = 4, with the…

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Q: 3. Insert 3 arithmetic means between and 1. 5. Insert 5 arithmetic means between -10 and 15.

A: This is a problem of counting, discrete math.

Q: 8. A bag of marbles can be divided in equal shares among 2, 3, 4, 5, or 6 friends. What is the least…

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Q: dy dz x2 +

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Q: what is gross  monthly for the hourly position?

A: Solution

Q: 13. An observer stands 700 ft away from a launch pad to observe a rocket launch. The rocket blasts…

A: We have to find relation between distance travelled by rocket from ground and distance of rocket…

Q: 4. Determine the exact value of the following. tan? () – sin (;) cot (A

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Q: B. Tell whether each statement is true or false. 1. 4 € {2, 4, 6, 8)} 2. 3 € {2, 4, 6, 8} 3. 14 €…

A: The set is 2,4,6,8. The number 4 is an element of the set 2,4,6,8. Therefore, 4∈2,4,6,8. The given…

Q: Tetfor the unit vector and est. or thogonality R=(2.-4.5,-2), 3=(1,-1.-2r2) W =(-2,4,2,-5)

A: Given vectors are ,                                     u = ( 2,-4,5,-2) ,  v = (1,-1,-2,-2) ,  w =(…

Q: Verify F(1,1; 2; x) = -x-'ln(1– x) %3D By expanding each function in a power series about x= 0.

A: Given data F(x)=-x-1ln1-x

Q: b. -2åx + 3d, - åz 2. If E = -xả, + yåy V/m, find the work involved in moving a unit positive charge…

A: We can solve using given information and calculate the work done

Q: 4. Let -81 | A = 1 (a) Factor A into a product PDP-1, where D is diagonal. (b) Compute e4.

A: We can solve this using diagonalisation

Q: Vx.y" +x = 4, y(0) = 1, y'(0) = 11 %3D %3D

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Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

A: Consider the given expression, e2.2; where e2=7.4. Let us consider the function fx=ex and use the…

Q: In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for each…

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Q: c. 5tan(59°)- ; use special triangles sec(59°) – 3sin²(59°)

A: Given: 5tan59°-2sec59°-3sin259° To find: Using linear approximation solve the equation.

Q: 6. * dx

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Q: Suppose that you buy a rare stamp for $15, sell it for $20, buy it back for $25, and finally sell it…

A: Given that you buy a rare stamp for $15, sell it for $20, buy it back for $25 and finally sell it…

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

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Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: Prove that in any bi-right quadrilateral DABDC, ZC> ZD if PROBLEMS and only if BD> AC. (Assume ZA…

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Q: Consider the following sets. A = (3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16} C = (3, 6, 9, 12} D = {1,…

A: The set P∪Q contains all the elements that are present either in set P or in set Q. The set P∩Q…

Q: 5. How many distinct factors do the following have? (a) 1000100. (b) 7ª11*13°; a, b e N. 6. At a…

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Q: The sum of three consecutive multiples of 8 is 888. Find the multiples.

A: The difference between two consecutive multiple of 8 is 8. Consider three consecutive multiplies of…

Q: 2s - t 3. Let S = ,te R -S i. Show that S is a subspace of R* ii. Find two vectors that span S ii.…

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x2 %3D

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