y' = y - y², y(0) = 0.7; y(0.5)

Q: Diagonalize the following matrix, find P and D with A = PDP-¹, then compute A4 for the matrix A = 1…

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Q: [2 Given that; a=1, b=2, c=0, d=1 Explain why the matrix a b c d is not diagonalisable.

A: Here the given matrix Let x be tha eigen value of A matrix Then

Q: You have to solve a system of equations Ax=b. An answer with a relative error smaller than 10 You…

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Q: 3. Solve the following initial-value problem. 셔후 : 히 1 X, X (0): ㅎ x, Alienosios

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Q: B) Find: 1) The value of sin (2cos-¹)

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Q: Solve the following boundary value problem. Ytt =25yxx 00; y(0,t) = y(6,t) = 0, y(x,0) = 0, y(x,0) =…

A: Given partial differential equation ytt=25yxxUsing separation of variables method:Let…

Q: 3. Determine no whether the function is even, odd or neither even or odd. a) y = x5-x³-x b) y = 1 –…

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Q: Show that the vectors u₁ = (3, 1,-4), = (3,1, –4), u₂ = (2, 5, 6), and u} = = (1, 4, 8) form a basis…

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Q: Find the Laplace Transform F(t)=sin4t

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Q: "If G is a 3-regular graph, then K(G)=k'(G)", where K(G) is the minimum size of a vertex set S s.t.…

A: Given:  is a -regular graph, which means every vertex in  has a degree of  (i.e., each vertex is…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Here first we have to verify that x1, x2, x3 are the solutions of the given equation. Then using…

Q: Vrite the maximum value oƒ ƒ(x,y)={ ½ −x² + y²)μ¹ −x² - y² Round your answer to two digits after the…

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Q: Let V = R³ and let H be the subset of V of all points on the plane -3x + 4y + 5z = −12. Is H a…

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Q: Compute the Laplace transform: D²²e} = c{us (1) + 16 3 (t) +u6 (t)t²e¹

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Q: A relation R is defined on Z by x R y if 11x - 5y is even.

A: R is a given relation on Z such that xRy iff 11x-5y is even.Let .Case 1: Let x is even.x is even. So…

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely converge The…

A: As per the guideline, I am supposed to solve only first question from the given problems.

Q: y' − 2 ² = y² X 2. -

A: First order linear differential equations:

Q: Find the inverse Laplace Transform F(s)= 2s-6/s^2+9

A: We have to find the inverse Laplace transform of .Now, consider Apply the inverse Laplace transform,…

Q: HW6.4. Determine if each of the following sets is a subspace of P₂. If the set is a subspace, prove…

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Q: 7.) Approximate √x² – 3dx using the Trapezoidal rule with 2 trapezoids.

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Q: Consider the differential equation (x+y)dx-xdy=0 with the initial condition that y=1 when x = 1.

A: Given that the differential equation is:                                   To find the absolute…

Q: Find the Laplace Transform F(t)=2+e^(5t)

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Q: ive examples of sentences in natural language (English), about everyday topics, hich have the forms:…

A: Logical equivalence and sentences.

Q: Find the inverse Laplace Transform F(s)= (s+2)^2/s^3

A: We have to find inverse Laplace transform of the given function.

Q: Evaluate f (x - y)(y – z) dV for the box B with dimension: [0, 5] × [0, 1] × [0, 1]. (Use symbolic…

A: The box with dimension: .We have to find: .

Q: 10. Given B = {(1, 2, 3), (1, 0, 1), (−2, −3, 0)}, B' = {(1, 1, 2), (0, 2, 3), (-4, 0, 1)}, and [x]…

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Q: You have a $70,000  reducing balance loan at 7.5% per year. Monthly repayments are 850. What is the…

A: To calculate the total interest paid by the end of the second month on a reducing balance loan, we…

Q: Find the area bounded by the graphs of the indicated equations over the given interval (when…

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Q: 3. Find closed form expressions for the sums below, stating the conditions under which the closed…

A: Solution :-

Q: Check if the following function is one to one or onto (Show your work). z+4 f: R-{2} → R and f(x) =…

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Q: Solve the DE (dy/dx)+(2/x)y=3/x

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Q: The conical tank shown here is filled with olive oil weighing 59 lb/ft³. How much work does it take…

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Q: P = A a 0 0 Find the eigenvalues of A. (Enter your answers as a comma-separated list. Do not list…

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Q: Use cylindrical coordinates to compute the surface area A of a sphere of radius R = 3. (Use symbolic…

A: Given that the radius of the sphere is R = 3.The general equation of a sphere with center at the…

Q: 8. e3x+2y = dy dx

A: The given problem is

Q: Un be vectors in a vector space V and let 7 be any vector in the span of S = = {V₁, V2, … … … … ..‚…

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Q: # 15. Calculate the ideal body weight in pounds and kilograms for an 87-year-old female patient who…

A: Gender: FemaleAge: 87Height: 5 feet 1 inch.Weighs: 111 lbRobinson formula:For women/female: Miller…

Q: Find the area bounded by the graphs of the indicated equations over the given interval (when…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Please repost for the other question.

Q: spread? Choose the more appropriate model and provide its parameter values and the corresponding…

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Q: y"+y=secx

A: To solve the differential equationWe, use the method of variation of parameters to find the…

Q: Find the volume of the solid bounded below by the plane z = 1 and above by the sphere x² + y² + z² =…

A: We have to find the volume of the solid bounded by the plane  and above by the sphere

Q: what are the steps you take to find the equivalence classes? I still don't really understand why…

A: To determine the distinct equivalence classes of the relation R defined on Z (the set of integers)…

Q: The first derivative of x = 4e and y = ise. The second derivative of x= -10 cos 8 and y=-10 sine is…

A: According to guidelines we can solve only first 3 but since which question is 19 so we solve only…

Q: Perform the indicated matrix operations. If an expression is undefined, explain why. Let C= 12 -31…

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Q: In how many ways can you arrange the letters of the word "MATHEMATICS" such that the vowels (A, E,…

A: The word "MATHEMATICS" has 11 letters in total: M, A, T, H, E, M, A, T, I, C, and S.Among them, the…

Q: •[[[ paraboloid z = 6 + x² + y², the cylinder x² + y² = 2, and the xy plane. Evaluate e dV where E…

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Q: 6² F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y cos(x) − xy…

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Q: A hand-held calculator will suffice for Problems 1 through 10, where an initial value problem and…

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Q: Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, 0 ≤ z ≤ 4. (Use symbolic notation and…

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