Clarify that f f :(0,1) →R defined by f(x): not uniformly continuous. =-

Q: Find the transform, indicating the method used and showing the details u(t-2T) sint

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Q: (b) Determine the proportion of matches in which Tallygaroopna scored between at least 120 but less…

A: The proportion of matches in which Tallygaroopna scored between at least 120 but less than 180…

Q: Next question Sketch the region of integration and evaluate the integral. xy dx dy Sketch the region…

A: We have to solve the given problem.

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A: It’s not true that time travel is possible. For if I travel back in time and kill my grandfather, I…

Q: The function Ax) is given in the following tabulated form. Compute [Ax)dx with h- 0.25 and 1. with…

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Q: Solve 3 (x² + y²) dx + x (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

A: Given the equation 3x2+y2dx+xx2+3y2+6ydy=0...(1) The first order of the form Mx, ydx+Nx,…

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Q: dy Solve x da + 5y = x sin (ax2)

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Q: Let A be a Hermitian matrix with eigenvalues d1 > \2 > · .· > dn and orthonormal eigenvectors…

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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: (ii) Estimate the integral I 1.4 sinx-log.x+e*dx 02 by using trapezoidal rule with h=0.2 correct to…

A: We can solve using trapezoidal rule

Q: 1. Evaluate the given line integral, |(-y,a – y) - dR, where C is the upper part of 2² + y? = 4 from…

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Q: N(-3, 3*) 3. Find the equation of the line in polar coordinates that passes and the pole.

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Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Given :- There are five couples; so,10 persons. (a) Five couples in a row can be arranged in (5!) =…

Q: et E =X+iy Express the given quantit y interms of X and y. I R (1/2) 14 (ti) (1-2i) (1+ 3 i)

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Q: 1. Evaluate the given line integral, {-y,x – y) - dR, where C is the upper part of 22 + y? = 1 from…

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e '* cos (5y) at the points (0,0) and 0, 2…

A: Linearization of the function

Q: What is the fraction in the second line ? What does the last line say?

A: The required answer is shown below.

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: 6. How many posts does it take to support a straight fence 200 yards long if a post is placed every…

A: Given, the length of the fence is 200 yards and the post is placed every 20 yards.

Q: Evaluate the given line integral. | (y, –x) · dR, where C consists of the uppder part of x² + y? = 1…

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Q: 10. The organizers of an essay competition decide that a winner in the competition gets a prize of…

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Q: C. Solve as indicated. 1. How many terms are there in an arithmetic sequence where a, = 12, a, = 60…

A: We have to find the number of terms in the arithmetic sequence where a1=12, an=60 and d=8

Q: Solve the differential equation below over the interval from x = 0 to 1 using a step size of 0.2…

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Q: Line 1: 1 - y = Z – 8 2 х — 3 4 Line 2: x=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A: To find the given questions when two lines Line1 and Line2 are given :-

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: 5. The electric potential is V volts at any point (x, y) in the æry plane and V = e-2" cos(2y).…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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

A:

Q: 1. Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: Given an experiment . Sixteen toothpicks are arranged as shown (given in the question).  We have to…

Q: 2. Consider the function 2r2 -9r-18 f(r) r-r-2 (a) Sketch the curve y f (r). (b) Find the area of…

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Q: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

Q: Evaluate the integral 53.3904 | (1-e0183551) dx by using third-order (two-point) Gauss quadrature.…

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Q: Solve 2 E| #(0) = – 2, y(0) = 10 y' 29 - 9

A: Solution

Q: How may sets of intersecting chords are there in the figure? [6 1 12 14 73° 4 1

A: Q.6 has answer 3

Q: CLO4: Study the below undirected graph and answer the question following it. 10 1- Apply Kruskal's…

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Q: A hryperbola is defined by the equation x? - y? - 2x - 4y - 4 - 0. Its center is at the point (-1,…

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Q: Determine the arc length of a circle with radius 5cm and angle 1.78 radians.

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Q: 1. Evaluate the given line integral, |(-y, - y) · dR, where C is the lower part of 2 + y? = 1 from…

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Q: Given that e2y, 10x2+4. f (x, y) = sin Enter a 10 significant figure approximation to the partial…

A: We will use matlab to find the answer

Q: Q2: Find the general solution of the system i = 3x – y ý = 2.x,

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Q: О 13

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Q: 1. Evaluate the given line integral, / (x – y, y) · dŘ, where C is the left part of x² + y² = 1 from…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: -AU (En F)

A: E∩F={3,9} So, A∪(E∩F)={3, 6, 9, 12, 15, 18}

Q: TY 28.6 29,5 296 30.0 30.8 28.9 29.7 29,8 30.7 30.6 34t 30t 29t 28,3 28 x(year) 86 67 88 89 90 1 92…

A: Mean of the graph is given by, f=1b-a∫abf(x)dx Using Simpson's rule, we have…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

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

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Q: [ 15CCOS 140 +i sin 140J] o [4 Cuos 280 t isin 280]

A: Exponential form = reiθ . Rectangular form = a+ib

Q: In each case, derive the general solution. When a boundary condition is also given, derive the…

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: Consider the first particle, the speed of the particle is u1=4fts. it's distance from point P is…