4 f4* u lt - i) + (+1) u(t -)

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2...

A: Given ,   min Z = 10X1 +25X2 subject to the constraints,  4X1+3X2 ≤ 9                               ...

Q: Solve the following elimination. systems usiny Gauss- Jardan A. X-dy=8 3 x B. 5x +3y =9 -2x+y

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

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Q: Find the determinant of the matrix | cos A sinA sinB cosB sin A - sin B cos A+ cos B cos A - cos B O...

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Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y + 2y = g(t) : y(0) = 2, y'(0)...

A: We can solve this using given information  

Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: ( optional). Let f be continuous on [a, b] and differentiable in (a, 6). Show that if lim f'6) = A, ...

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Q: 8. a) Solve by Picard's method dy = 1+ xy, dx y(0) = 1 for x=0.1. Compare it with the exact value of...

A: Here given differential equation is                                                     dydx=1+xy,  ...

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Q: If E an is a convergent series with positive terms, is it true that the series ( a) Σ(1+ α) (b) Esin...

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Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the sq...

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Q: Find the general solution to the following differential equation by using VARIATION OF PARAMETERS me...

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Q: .A. Determine the validity of the following arguments by using the rule of inference table by statin...

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Q: Use Thieoi to find (E)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t) L{f(t)} = %3D

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Q: The table below sflows data from a study relating a man's age to the average number of miles he can ...

A: We will use graphing calculator to find best fit for these data Let x = men's age and y = average nu...

Q: Additional Activities DIRECTIONS: Read each problem carefully and solve it using implicit differenti...

A: Given: The spherical balloon is inflated with gat at a rate dvdt=800cm3/min The speed of the ballon ...

Q: Solve the above system of equations below by Gauss-Seidel method: End the iteration when 3 decimal a...

A: We can solve this by using Gauss-Seidel method

Q: In Problem 5, you found the closed formula for the sequence below. Use proof by induction to verify ...

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Q: 1. X = {1, 2, 3, 4, 5} and Y = {3, 4}. Let's define a relation R in a set P(X), by a formula: (ARB) ...

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Q: Find the area between the graphs of y=8x-x+7 and y 3x -x+ 12

A: The given problem is to find the area between the given graphs. Given functions y=8x2-x+7 and y=3x2-...

Q: 1. This exercise justifies the calculation deitäe-A¤ dx = スーit (a) Let A,t e R with A> 0. Evaluate t...

A: Given,   ∫0∞ λeitxe-λx dx=λλ-it To find:a) at=∫0∞λcostxe-λxdx and b(t)=∫0∞λsintxe-λxdxb)  at+ ib(t)=...

Q: 5sin(4x +)sin(2x -)dx 9.

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Q: Use the following information given in the table to find the missing values of the table. An account...

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Q: What is the Laplace transform of f(t) = te' ? AJ F(s) = s+ es %3! B] F(s) = 1/(s–1)² c] F(s) = 1-s/s...

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Q: Example 5.8. Solve du 0 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) = ...

A: To solve: ∂2u∂x2=∂u∂t, 0<x<1, t>0 And, the boundary conditions are: ux,0+=fx, u0,t=0, t>...

Q: 2. Use Laplace Transform to find (f * g)(t) if ƒ(t) = e=t and g(t) = sin(t).

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Q: Given functions f : R → R and g : R → R. Suppose that g ◦ f turns out as g ◦ f(x) =| x^2 + 7 |. Iden...

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Q: (1 – x²)y - 2ry' + 2y = 0

A: given differential equation 1-x2y''-2xy'+2y=0                ...i let the solution be of the form y=...

Q: Find the slope and angle bet

A: Given,                 r=sinθ, and r=sin2θ

Q: a2/ Using Newton's divided difference fonmula, find the missing value from the table: 4. 6. 14 15

A: Solution

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A: Given:  five-digit zip code, the first four digits can be any of the digits 0–9 and the fifth any of...

Q: f (a) a theorem with direct proof (b) a theorem with indirect proof

A: this is a question of mathematical logic.

Q: Define a linear operator on R^2 by performing the following operations in order: i) a shear in the ...

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Q: 5. Use induction to prove that for every n E N we have E(k · k!) = (n + 1)! – 1 k=1

A: We want to prove ∑k=1n(k·k!) = (n+1)! - 1

Q: 1 1 0 11 1 6 1 5 2 1 3] 31 4 1 3 -2 1. A = 10 ? 1 21 B =|1 6 5 2 10 1 l2 0 1 41 [2 6 1 1] D = l5 0 9...

A: To evaluate the given. 

Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: at the one-dimensional and n are constants.

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Q: Let V R2[x] be the real vector space of polynomials of degree at most 2. Let {fo, f1, f2} with fo(x)...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

Q: Let a,b be integers, not both 0. Show { na + mb : n,m ​​​​​are integers} = iff a and b are relativel...

A: We have to prove the given statement.

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

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Q: Find the area of the region that lies inside r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: (a) Consider an investment that doubles in value if the interest rate is 9% compounded continuously....

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Q: Suppose Y; are the fitted y-values for in a maximum-likelihood linear regression model and Y; are th...

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Q: Note, these are solid tetrahedrons, so there will be some cannonballs obscured from view (the pictur...

A: Let's consider P(n) denotes the number of cannonballs needed to create a pyramid n layers high.

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test, a...

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Q: 10. The x-axis and y-axis form the axes of two right circular cylinders with radius = 1. Find the vo...

A: To find the volume of solid common to the two cylinders with radius, where x-axis and y-axis forms t...

Q: 2 μF 2 μF 1 μF 3 μF 1 μF 1 µF

A: When several capacitors are connected in a series combination, the reciprocal of the equivalent capa...

Q: 2. Compute for a real root of sin Vx – x = Ousing three iterations of Fixed-Point Iteration Method w...

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Q: dx xVx²-1 0.52360 0.52359 O 0.52358 0.52350

A: Let x=secθ. Differentiate both sides of the equation x=secθ with respect to x ddx(x)=ddx(secθ)⇒1=se...

Q: (x+2)dx 1 (2-x)3 3/5 (2 - x)^(2/3) - 6(2-x)^(5/3) + C 3/5 (2 - x)^(5/3) + 6(2 - x)^(2/3) + C 3/5 (2 ...

A: