solve the following give the general solution : question 1. y'=3y+15x+17 , y(0)=3

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Q: 4s -3ss, t in R -t d 12

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Q: Solve: y''' — 5y'' — y' + 5y = 0 y(0) -6, y'(0) y(t) = = = 16, y''(0) = - 78

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Q: Question 4: Let A € Rnxn with Rank (A) = n. a) If A is an orthogonal matrix, find A-¹. b) If A is an…

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Q: Fill in the table. Show your work and keep answers exact. Degrees 140° Radians 31 5

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Q: Prove (without stating 7.10 from the chapter notes) that √2+ √5 is not rational.

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Q: : Let A E Rnxn with Rank (A) = n. a) If A is an orthogonal matrix, find A-¹. b) If A is an…

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Q: QS TV. Complete the proof that ZVUW ≈ ZPRQ. P 1 2 3 4 R S V U T Statement 3 QSI TV ZVUW ZSRU ZSRU…

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Q: 05q+6 = 0⇒> Similarly €6q+7 = Ω-(g) lim Ω(7q+7)n+6a+7 818 a6q+7 Πο Ω_(q+1)t-q +1 =0 t=0 (₁ 1 = 0⇒> -…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

Q: Let T = (Tm) be a tensor of the type and order suggested by the Indices. Prove that S=(T) = (T) is a…

A: Given:  Tj1 j2  ... jqi1 i2  ... ip=Ts1s2 . . . sqr1r2  . . . rp∂xi1∂xr1∂xi2∂xr2 . . .…

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Q: Let da be recursively defined by ao 1/2, n+1 = Show that a, converges, and find its limit. +1 for n…

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Q: at •Find the interal the following Series & Test the a +₂ determ the in toat if it is appropriate ∞…

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Q: Illustrate the graph given the equation r = 2-4 sin² 0.

A: Given the equation,                      r=2-4sin2θ.

Q: Let : G → H be a group homomorphism. Show that is a subgroup of H. Im(6) := {p(g) | g = G}

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Q: b) lim n-x Prove directly from the definition of limit: 1 /n² + 1 = 0 1 d) lim = + n→∞ N sin n n+1 =…

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Q: 2. (HS-3) Solve the following initial value problem: dx dt dy dt = 4x - y x + 6y x (0) = 0, y(0) = 8

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Q: Consider the NFA N below. Convert N to an equivalent DFA. Show all your work and explain how you…

A: a b q0 q0,q1 q1 q1 ϕ q0   The equivalent DFA is    a b q0 q0q1 q0q1 q0q1 q0q1 q0q1…

Q: (a) For x, y ER, we say ~ y if x - y ≤ 2. (b) For m, n = Z, we say m ~ n if m | n. Again, it stands…

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Q: Truths in a mathematical system can either be an axiom, a definition, or a theorem. Choose a single…

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Q: Use the Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to…

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Q: Difficiate the tay lov Seviny @ for fcx) = ln (1+x) and as summation b itunity the the difformittal…

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Q: uestion 2: Consider the linear system AX = b, where A 0 b=2 a) Show that the linear system is…

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Q: Given a vector a = [1, -0.2, 3.5], what is the result of using Sigmoid activation function on this…

A: Kindly refer to Step 2 for the solution.

Q: The question is wrong

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Q: Let A be a 5 x 5 matrix with determinant 20. B is a matrix obtained by performing the row operation…

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Q: If the nullity of a 7 x 6 matrix A is 5, what are the dimensions of the column and row spaces of A?

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Q: I need help finding the sum of the sequence.  1+3+5+...+(2n-1) I know that a1=1 and d=2 an=…

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Q: 26. State the domain and range of each function below. a) f(x)=3√√5x-30+4 b) g(x)= 5 12-2x +18

A: Given:  fx=35x-30+4gx=512-2x+18To find: Domain and Range of f(x) and g(x).

Q: 2. a) Show that of all rectangles with a given area, the one with smallest perimeter is a square. b)…

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Q: Evaluate [2² +3² − z dS where S is the part of the cone 2² = 2² + y² that lies between the planes z…

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Q: Factor the matrix A = ¦ as A = QR, where Q is an orthogonal matrix and R is upper triangular.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: You deposit $400 each month into an account earning 7% interest compounded monthly. a) How much will…

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Q: Find the determinant of the following 3x3 matrix showing all your work step by step.

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Q: 2. Let Q(n) be the statement Suppose “P(1), P(2),..., P(n) are all true. 22 • P(1) is true; ● for…

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Q: It takes an older employee 11 hours to shovel the snow from a sidewalk, but a younger employee can…

A: This is a simple algebraic problem. We will solve by this simple addition and reciprocals.

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Q: -1 A-34] 1 Let A = 5 Find vectors X1, X2,. X; so that N (A) equals span {x₁, x2,...,xj}. ..y

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