2 le students have appeared in test a in which the top 3 will get a prise. How mony posible ways are there to get the prise Three ca

Q: Show that an isometric function is Uni Formly continuous and ce-to - one

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Q: Converting from...... to....., include divide by two, to keep track of the remainder O Decimal to…

A: Follow the steps.

Q: Solve the initial value problem y"+y=f(t), y(0)= y'(0) = 0, (21 if 0 1

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Q: Use graphical methods to solve the following linear programming problem. Maximize: z= 5x +y subject…

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Q: 1 (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 5 using a Riemann…

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Q: (iii) If (X,r) is topological space, A,BCX. Prove that (a) b(A)=AA (b) If ACB, then d(A) ≤d(B)

A: First part Is obvious from definition of boundary points of a set.

Q: Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 =…

A: The given augmented matrix is: 1121144955 Find the Row-echelon form of the matrix.

Q: 1. Ir Y= 4 In (In (In(sec(x)) then Y =[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: Y=4lnlnlnsecx remember chain rule ddxlnfx=1f(x)ddxf(x)

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Evaluate the iterated integral 1 y² [¹ [³* (4x + 10y) dady. Y O 11 10 O 11 10 O-1 0 1 O All of the…

A: Answer:- 1> D 2> A   Explanation??

Q: Problem 6 In the vector space of 2x1 column vectors, a transformation T has the 2×2 matrix…

A: Given : The projection operator P is defined as  Pa1 , a2 = 0, a2 with respect to the basis E = {(1,…

Q: Below is the partial order diagram of D42. What are the immediate predecessors of 14? 21 14 1 Select…

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Q: (yezy cos 2x - 2e sin 2x + 2x) + (rezy cos 2x − 3)y' = 0

A: given differential equation can be written as  (yexycos2x-2exysin2x+2x)dx+(xexycos2x-3)dy=0 ∵dydx=y'…

Q: - Let f(z) = cosh z. (1) Find the image of S := {z = x+iye C: x < 0,0 < y < } under f.

A: Follow the steps.

Q: Find the general solution of the system whose augmented matrix is given below. 1 -7 0 -1 0-2 10 0 -5…

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Q: (1) Find the image of S:= {z = x+iye C: x<0,0 <y<} under f.

A: Here first we found the boundary then choose a point on the domain. We use that under a analytic…

Q: There is a linear system that has exactly 2 distinct solutions.  true or false

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Q: 4. Find the general solution of (x + xy²)dx + ye²² dy = 0. O ln(y² + 1) — 4e¯x² = C O e ² + 2ln(y² +…

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Q: this answe is wrong

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Q: Obtain the roots of the following equation by the fixed point method starting at x = 1 and solving…

A: To obtain the root of 4x2-2x-9=0 using fixed point method with x0=1

Q: Consider the definite integral given below 3.5 S (x cos (3 z) - 1.1 z³) dz 0.1 a) What is the value…

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Q: 1. If Y= 4 In (In (In(sec(x)) then Ý=[4 (tan)/{ In ((In (sec)) In (sex)}]

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Q: Suppose TEL(R²) has no eigenvalues. Prove that T is invertible. Prove that Te is diagonalizable. If…

A: Given : T : ℝ2→ℝ2 is a linear transformation such that it has no eigen values in ℝ. To prove : (i) T…

Q: Find the Inverse Fourier transform of Tre-la.

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Q: Find the number in the interval [−1, 1] such that the sum of the number and its square is a maximum.

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Q: 4. ) RJ&M Company manufactures furniture such as sofas and tables. In their current inventory, a…

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Q: Use the vectorized Euler method with h = 0.5 to find an approximation for the solution to the given…

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Q: Construct the truth table. р T T T T F TI TI F TI q r (qAp) vr q^ (pv r) T T T TI F TI F TI FL F T F…

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Q: Which of the following is an "even" function of t? Of³+6 O ²-4 0 12 O sin2t+3f

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Q: 8. Use variation of parameters method to find the following differential equations: (i) y" - 4y + 3y…

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Q: (3x² − 2xy + 2) + (6y² − x² + 3)y′ = 0

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Q: Find the length of the arc. Round to the nearest tenth. d894 ddf892d342a ddf892d342a d ddf892d342a ن…

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Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

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Q: Let x Є Z. Prove that if x2 - 8x + 11 is divisible by 4, the x6-1 is also divisible by 4.

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

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Q: (b) Given that 5² s + 16 (s − 1)(s + 3)(s² + 4) Evaluate the values of A, B, C and D. [BARRIE A B +…

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Q: Solve the system below using augmented matrix methods. Graph each solution set. Discuss the…

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Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ − x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: We solve this by Gauss Seidel iteration method. To avoid confusion regarding iterations we…

Q: lex. min. {g, (x), g₂ (x)} 9₁ (x): -2x1 - x₂ ≥ 9 92 (x): X₁ X1 - 2x₂ ≥ 10 st. 2x1 + 5x2 ≤ 16 6x₁ +…

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Q: cosh? z + sinh2z=1 true False O оо

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Q: While she was travelling, Zainab took advantage of the convenience of cash withdrawals on her credit…

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Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Solve the linear programming problem. Maximize P = 40x + 50y Subject to 2x+ys 14 x+y ≤ 9 x + 2y ≤ 16…

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Q: 4. Prove or disprove the following statement. U(8) is cyclic. [from #1, 4.5]

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Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Find the general solution of the system whose augmented matrix is given below. 1 -7 0 -1 0-2 10 0 -5…

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Q: Use a calculator or program to compute the first 10 iterations of Newton's method when they are…

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Q: 4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the…

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Q: /~d= @ (X) = √²/2+² Für S Prove that & QQ (-∞) = 1 2²/1

A: Introduction: The error function is one of the significant special type functions. It is also…