Q2: In Euclidean metric space (R², 1. 1), is the set A = {(x, y): xy < 1} compact? giving the reason. M

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 5π cubic feet per 2 A mixture is being being poured to an inverted conical tank at the rate of…

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Q: Solve the lim 21 following x³-x²-√2x x²-11x+18

A: Here given question is in 00 form at x=2 so we can use L'Hospital rule. For this we differentiate…

Q: the water in the tank? (Take = 3.14) 5. A water tank measuring 5 m long and 4 m wide contains water…

A: Let us consider a cuboid of length l , breadth b and height h then the volume of the cuboid is…

Q: x4+x² - 6xy + 3y² x² - 6xy + 2y² + 10x + 2y - 5,

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Q: Find the Volume: Rotate the region bounded by y = 7 - x², x = -2 and x = 2 and the x-axis about the…

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Q: er, explicit ODE

A: Note:-  For this problem, I'll provide you definition and example of first order explicit ode and…

Q: The fifth term of a sixth term is 1215. nine terms. a) 147 615 b) 8100 geometric series is 405 and…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: Given the one-parameter family of curves y² = Cx³ + 5. Find the family of orthogonal trajectories.…

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Q: b) Consider the following LP problem. Minimize z = 2x₁ + x₂ Subject to 3x₁ + x₂ ≥ 3 4x₁ + 3x₂ ≥ 6 x₁…

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Q: xistence and Uniqueness of Solutions. In each of Problems 1 through 6, use Theorem 2.4.1 to…

A: Given differential equation 4-t2y'+2ty=3t2,y1=-3 The Interval in which the solution of the given…

Q: The periodic function T(1) obeys T(x+2) = T(x) and |I| 0,n>0 mn= cos(mr) sin(nx)dx □ Σmn Smn²in²n =…

A: Let us calculate a0,a3 b1 b3 values respectively  Then we check the valid prop8of ghee kronecker…

Q: How long will it take for $5000 invested at 6%/a compounded monthly to grow to $6546.42? a) 4.5…

A: Option (a) is the correct choice The details calculation is given below

Q: 6. If k is constant, which of the following equations expresses an inverse variation? C.k= =kn B. x…

A: If p is directly varies as q, then it can be written that p∝q and if If p is inversely varies as q,…

Q: f(x, y) = x² + y² – 14x - 12y – 3. - - a) Determine the domain of f. b) Find and draw level curves…

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Q: In each of Problems 13 through 28: (a) Find the solution of the given initial value problem in…

A: Sol

Q: Yn+2 -6yn+1 + 8y₁ = 3n²+2-5.3n Solve the following using Z-Transform, when y(0)=0 and y(1)=1.

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Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,…

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Q: (a) Compute the determinant of the matrix by expanding along the second row (b) Compute a row…

A: We have: A=21-250146251-24215 Part (1) Finding the determinant of the matrix by expanding along the…

Q: • Find Laplace transform of the function Shown below:- 122

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Q: Q3) Determine the maximum point of the function f(x)= x(5r-x) with Fibonacci search method, if the…

A: given, f(x)=x(5π-x)in the interval a,b=5,10n=4 To maximise f(x) using fibonnaci search method,

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: Sol

Q: The mapping w = 2² + 1 is not conformal at

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Q: Write down inequalities to represent (a) the region inside the sphere 2² + y² + 2² = 62 and outside…

A: The given problem is to find the inequalities that represent the given solids of region bounded by…

Q: Set up the integrals for the mass and center of mass of the tetrahedron bounded by 2x + y + 4z = 4…

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Q: may select juice, milk tea, or soda for your drinks. You also have three choices for your sandwich,…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: calculator?

A: To find the inverse of 3/2 and larger than 1 as,

Q: Compute the value of the constant k for which kx²e5x is a particular solution of the differential…

A: We compute the value of the constant k for which kx2e5x is a particular solution of the differential…

Q: Consider the following matrix (a) Compute the determinant of the matrix by expanding along the…

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Q: 3. Write the equation of the following conic section in standard form and sketch the graph. Make…

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Q: 6 Let {u} (n = 1, 2, 3, …) be an orthonormal set in H. Show that this gives an example of a closed…

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Q: Find the given determinant by any method. 0000 -7 0001 0 0 0 1 0 0 0 20 0

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Q: Q2: (a) In Euclidean metric space (R, 1. 1),if A = {y € R: y = 2 cos (2x); x € R} then fined the…

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Q: 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains…

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Q: = Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina d = xy a=2 c=2 show…

A: Mass of a lamina is given by M=∫∫A δ dAhere δ is the density function.

Q: Yn+2-6yn+1 + 8y₁ = 3n²+2-5.3n Solve the following using Z-Transform, when y(0)=0 and y(1)=1.

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Q: a) Consider the following non-normal LP problem. Minimize z = x₁ - 3x₂ - 2x3 Subject to 3x₁-x₂ + 2x₂…

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Q: 2) A dietician in a hospital is to arrange a special diet using two foods. Each ounce of food M…

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Q: Find an integrating factor and solve the given equation. 18y dy (18x + 7) + (6²² +15v ) = 0 X dx

A: The given differential equation is                  18x+7y+6x2y+18yxdydx=0

Q: Adam has $450. He spends $210 on food. Later he divides all the money into four parts out of which…

A: Given that Adam has $450 and e spends $210. We have to find the final expression and find the money…

Q: Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive…

A: The solution is hand written as requested:

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: 3 ²³₁²₁¹ [2³ (x + y)³] dz dy dx Z -4

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Q: A man borrowed 30,000 in the bank and agreed to pay an equal payment at the beginning of each 3…

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Q: True or False? 5. Let x and y be integers. If 5x − 7 is even, then x is odd. 6. Let x and y be real…

A: To find which of the above is true or false :-

Q: [1 2 1 0 -31 0016 -8 000 01 Exercise 4. Let A = Lo 00 0 0 a. 3 b. 1 c. 2 d. None of the mentioned…

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Q: 2- By using Chain Rule, find du/dx, du/dy, du/dz at (x, y, z)=(√3,2,1) P-q U= q-r p=x+y+z q=x-y+z,…

A: This is the question of partial derivative.

Q: In each of Problems 19 through 22, The given differential equation Descr

A: Given,           y'=-y3-ty

Q: 3. The quantity demanded for the Sony VCR model 37 is 2500 per week when the unit price is $700. For…

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