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Q: Determine L™¹ 2s-3D 2 +2s +17

A: Sol

Q: : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) - U(t-8)].

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Q: 2. Solve the following LPP using Simplex method. Max P 12X 16Y Subject to: 10x + 20y =0 and Y>= 0

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Q: (c) A woman deposited Ksh.4,000 in a savings scheme in the first month. Thereafter she increased her…

A: (i) Consider the given information, in the first month Woman deposited 4000. thereafter she…

Q: Solve the following formula for t. A=M+Mrt t=

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Q: Compute Edin (1)(d).

A: As per the question we are given a Dirichlet convolution between the sumof divisors function σ(n)…

Q: mparison betw

A: The comparison between the path and state functions are given below, 1. Relation to path - State…

Q: create a polynomial p that has the desired characteristics. You may leave the polynomial in factored…

A: Consider the polynomial px with solution to px=0 are x=±3 and x=6. We know that if x=a is a solution…

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

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Q: Show that the set of rational numbers Q is countably infinite, with |Q| = |N].

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Q: 50x1 + 107x2 + 36xy = 2 Find the solve of the Linear system 25x1 +54x2 + 20xg=1 by Crout's method…

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Q: Q2) Determine the traction vector, considering the following input data: 30 15 12 o 15 24 18 n=…

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Q: -π∫π  ecosx dx to the integral value; a) With the Trapezoid Rule. b) Make an approximation with…

A: given function ∫-ππecosxdx (a) integrate with Trapezoidal rule (b) make an approximation with…

Q: 2. Find y' if y = 5x + 2 using the limit definition derivative.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: ● Ex. Let A = [-1 2 2]. Find the minimum least-squares solution of Ax = b how to solve this problem…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symme…

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: 2. Using the midpoint rule, the approximation value for the √√x+4 dx is: C. 2.1213 a 2.5123 b.…

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Q: Q2

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Q: one

A: Americans consume 13.9 pounds of ice cream per person over over an entire year on average. Ben…

Q: 3-if ix-x ≤ CIB_l then we say (r) converges to x with rate convergence and write by x₂ = 1 +8₂

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Q: 5) Let F(x, y, a vector field and S the surface with equation x In (y − 1) described in the =…

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Q: Q₂: A. Re-write the double integral dydx in the form: (draw the region of integration) (1) ff dxdy…

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Q: Use two truth tables to show that each of the propositions are equivalent.  c) p /\ ~p and ~p

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Q: e position vector of an object = (at3 - 3t² + 14)i+(6t² - bt - ct¹)j nd the magnitude of the…

A: Solution

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

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Q: 1. Legendre functions for n = 0. Show that (6) with n = 0 gives Po(x) = 1 and (7) gives (use In (1 +…

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Q: Using Taylor Series, show that sinr can be approximated by x-x within 0.01 on the interval [-1, 1].

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Q: Give the B-spline basis up to degree 2 with knots vector at point {0,1,2,3,4}. Then draw the graph.

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Q: Use the binomial theorem to expand your binomial expression, and state the range of values of x for…

A: solving first 2 questions .

Q: Find the Product solutions of 2) du du - I dy dx +

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Q: Hand written plzz : Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (8-t)…

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Q: For all n ≥ 1, let an = (a) Find a1, a2, A3, A4. (b) Computea. i=1 (c) Computea. i=1 (n + 1)² n!…

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Q: From the table find f(0) using interpolating of Lagrange polynomial X -1 0 2 Y=f(x) 2 5 1 O -1 O o O…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t− 4) –…

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Q: Find a least-squares solution of Ax=b by (a) constructing the normal equations for x and (b) solving…

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Q: Define fet)= et +etcost if t>#7/2 solve y(3) - 2y (2) + ý' - 2y = f(t) y(0) = 1₂ y'(o) = 2, y"(0) =…

A: Given differential equation is y3 -2y2 +y' -2y =ft   with   y0=1,  y'0=2,  y''0=4Here, ft = e2t if…

Q: 50: Solve the differential equation y" + 5xv' + y = 0 by power series method.

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Q: Question 3. Prove that L(e^)(«) = * & dt.

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Q: Problem 3. Find the average value of f(x, y) = (1+x¹)(1-2³) on region R, where R is bounded by the…

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Q: (d<b₂) v (b. ←d) pue b↔d

A: Using truth tables we show that each of the given propositions are equivalent.

Q: Construct a truth table for the statement p<(pvq). Complete the truth table. q pvq -p+(pvq) T T T F…

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Q: 5.) f(t) = cos (mt) u (7-2)

A: Laplace transform of the function

Q: A system of linear equations reduces to the following augmented matrix: x y Z I cc What are the…

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Q: Let C: r(t), te [a,b], be a regular curve in R³, oriented from the point P = r(a), up to the F-dr…

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Q: x²-16 -4 x +4 - ...lim تساوي

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Q: Verify that the given function u is harmonic. u(x, y) = x² - y² The function u(x, y) has the…

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Q: between three plants A, B, and C,

A: Given that a company has a contract to move 700 units of a product per day between three plants A,…