Let R={(x,y) ERxR: |x| = |v|). Then R a function on R. оо True False

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: 6. If W₁ and W₂ are subspaces of V and dim W₁ (a) W₁ = W₂. (c) W₂ C W₁. dim W₂, then (b) W₁ C W₂.…

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Q: - Let n and r be positive integers such that r≤n. Then (a) P = nx pn-1 (b) P = P-1

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Q: A polynomial p(x) = R²[x] has the coordinate x, 1+x+x²}. Which of the following is p(x)? (a) 3+ 2x +…

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Q: To approximate y(2.75) for the following initial-value problem: ý = y + t²,1 ≤ t ≤ 3, y(1) = 2, the…

A: Given the initial value problem: y'=y+t2Where 1≤t≤3 Also the initial conditions are given as,  y1=2,…

Q: function f(x) = x as OLX 22 Expand the cosine series in sine series in 0 2x 42.

A: Here given that f(x)=x. We expand f(x) as cosine and sine series in 0<x<2.

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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A: We have total number lowercase latters and number are 36.  M= total number of 4 digit passwords…

Q: Consider the real inner product space P[0, 1] of all polynomials with the inner product, (f,g) =…

A: This question related to orthogonal projection from linear algebra.

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A: We know that , The determinant is defined as a scalar value which is associated with the square…

Q: Construct a graph with vertices F, G, H, I, J, K, L that has an Euler path, the degree of L is 1 and…

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Q: Pick up the correct statement O R²\Q² is connected in R² Intersection of two connected set is…

A: I have given the answer in the next step. Hope you understand that

Q: Let f: R" x R → R define as follows f(x, y) = then f is

A: Given that: f:Rn×Rn→R define as follows fx,y=∑xiyi¯i=1n. The objective is to determine the value of…

Q: Find the solution of the following initial value problem. y" + 11y' + 28y=0_y(0) = 9, y'(0) = −42…

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Q: For each graph of f shown below, answer parts (a)-(d). -3 domain range -2 -1 y 15 10 5 1 f(x) = x¹…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8 (

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Q: Q1) A: Find the value of K in the following linear system which is m solution failure Kx+3y=6,…

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Q: y=-3 y₁+ y₂ y₂ = y₁ - 3 y₂

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Q: Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the…

A: Sol First Method:-   Le-7tcos3tApply transform rule:  if Lft=Fs then  Leatft=Fs-a

Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

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Q: *P2 Find the residue of 195 (2-a)(z-b)(z-c) at infinity.

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Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

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Q: For the initial-value problem: ý = sint+et, 0≤ t ≤ 1, y(0) = 0, N = 2, the step size (h) is…

A: Here we use the definition of step size . h=(b-a)/N

Q: Find all points of intersection of the given curves. (Assume 0- enter POLE in the first answer…

A: Use the following formulae, to obtain the solution.…

Q: 1) (x + ye²) dx - xex dy = 0

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Q: The number of iterations in Secant Method are less as compared to Newton Raphson. O True False

A: TRUE

Q: The matrix B = [] is O Singular matrix O Symmetric matrix O non- singular matrix O none of these

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Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

A: Sol

Q: z=1-y Let V=ffdz dr dy. The figure shows the region of integration for the given integral. Rewrite…

A: The given integral is V=∫01∫1-y2∫01-ydzdxdy. To write: The above integral as the Iterated integrals…

Q: F A 5.7 6.3 7.2 6.6. 4.2 3.9 6.0 3.6 4.5 69 B 14.8 5.4 OC 7.57 3.3/5.1

A: The trip must start and end at A.

Q: Which of the following must be true in order to use the laws of logarithms in order to simplify…

A: Sol Log is written as :-logab So, in order to use law of logarithm , in order to simplify expression…

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Q: Solve the following first order differential equation using Linear method ty' + 2y = t²-t+1 y(1) = 2

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Q: Q3.B. Find a general solution of the following y" - 4y' + 4y = 3sin(2t) differential equation using…

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Q: Construct a graph with vertices I, J, K, L, M, N that has an Euler circuit and the degree of L is 4.…

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Q: What is the correct translation of the statement "m varies directly to a" if k is the constant…

A: a is directly proportional to b means a∝b a is inversely proportional to b means a∝1b If k be the…

Q: 8) y=x²+2x+1 and y = 3x +3 d The area of the plane region is?

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Q: If y, and y₂ are linearly independent solutions of ty" + 4y + (3 + t)y = 0 and if W(y₁, y₂)(1) = 2,…

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Q: 1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: 9. 10. Neville's Algorithm is used to approximate ƒ(0) using ƒ(−2), ƒ(−1), ƒ(1), and ƒ(2). Suppose…

A: Please see the attachment

Q: Which of the following statements are true 1. The determinant of a matrix is the same to that of its…

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Q: If A is a symmetric matrix, then A¹ = O JAI O diagonal matrix none of the above

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Q: 18. Over a period of one week, the Dow Jones Industrial Aver- age (DJIA) did the following: On…

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Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

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Q: The value of the constant a in third order Runge-kutta method U₁+1 = U₁ + ÷ (k₂ + ak₂ + 1 02 3 O 1 4…

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Q: Item 1. Use the long cut procedure of McLaurin series of expansion in determining the power series…

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Q: Solve for the 1.Fixed Point-Alteration 2.Newton-Raphson Method 3.Secant Method a. 4x² + 3x - 3=0

A: According to guidelines we can solve only one problem

Q: Q5. B. Solve the following first order differential equation using Linear method? 1) = -1/2 ty' + 2y…

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