The curve y= f(x) passes through the three points (1,3), (2,8.5), and (3,44). Estimate, as accurate as possible, dy /dx at x=1.5.

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A: Solution 1: Given initial value problem is dwdt=(3-w)(w+1), w(0)=0 we can write it as…

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Q: Solve using Gauss-Jordan elimination. X1 - X2 + 0.3 X3 - - 4x, + 7x2 - 3x3 + 3X4 = 8x3 - 4x4 = X4 =…

A: To find the solution of the given system of equation

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Q: (a) Find a nonzero matrix A for which A² = 0. A = (b) Find a matrix that has A² + 0 but A³ = 0. A =

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Q: Home Work E use L.S. M to Rit a straight Line for the data shown below:- X:12314IS161718191101 11.…

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Q: Q.29 Expand the following: (i) (4a– 2b–3c) (ii) | 2p -3 || 2p 1 y+-z (iii)

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Q: 6x:-ld 212CK) 's aving of integer num 12 and fo), gaJE Z, ) such That 9Cx) = Prove Fhat dey (fagx))…

A: Given  Ring Z12(x)  f(x) = 2+5x+4x4  g(x) = 1+x+x2+3x3    So clearly,  degree of f(x) = 4  degree of…

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A: Before starting the solution, let we explain the False Position Method.Intermediate value theorm: A…

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A: This is the problem of MVT and the Theory of Integration.

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A: For the detailed solution of the problem follow the next steps.

Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

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Q: 9. Find the general solution of the following second order ODE: d?y dy = 1 + t sin(t) dt2 dt Observe…

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Q: 3, Re call Eudlid's proof of In finitude * primes! Shouw that T Cx): = 1{ ps X: p-pinae }12 logz…

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Q: Which of the following is equivalent to p →¬q? Select one or more: a. ¬(p^q) b. pVq C. pAq d. -p V¬q

A: Using rules of inference we can get the equivalence form of the given expression.

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* -x has a critical number…

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Q: Compute the indicated quantity. P(B) = 0.5, P(A n B) = 0.3. Find P(A|B). %3D P(A|B) = .15 %3D

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Q: Consider the function f(r) = e-2. Do three steps of the Secant Method (by hand) using ro = 0 and z =…

A: Use formula of secant method.

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Q: H.w: Find the LT of the following functions: 1- f(t) = sin³t 2- f(t) = (t² – 5t + 6)e²t 3- f(t) =…

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Q: 1 2 1 (b) Show that the set does not span V = y :x, y, z eR} by 3 finding a vector (a matrix in this…

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Q: Q3. Use Z-transforms to find the convolution of the following sequences: (a) 1, 0sns 10 à (n) =r. x…

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Q: : Evaluate fxe dx to using Romberg integration to an error of order

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Q: . Solve the following problems: (a) Utt = 0, 0 0, u (x, 0) = x + sin x, Ut (x, 0) = 0, 0 0.

A: Solution

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Q: Let f(x) = na), The approximation of f®(1) using the following formula with h = 0.5: f(x…

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Q: 5. Suppose that you were standing at the point (-1,2, 39) on the graph of f(1,y) = r -3ry+4y. If you…

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Q: dz where C is the bo + 6)

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