The vertical asymptote of the following function is 4x2 + 20x + 24 f(x) = x + 3

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Q: The solution of the following linear differential equation xy' – 4y = x³ is

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Q: Consider the following linear equations -7x + 8y + 4z - 7x + (25 – k)y + 3z = 11 - 7x + 8y + (7 –…

A: The given set of equations are:

Q: Which system of equations corresponds to the following augmented matrix? [1 31 1 -1 b + c = 4 -x - y…

A: as the value in theth column are [  3, 6 , 4 ] so option A and D satisfy this condition. Now look…

Q: Convert the following 4th order ODE into a system of four first orde ODES of the form dy/dt f(t,y).…

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Q: 4. It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant.…

A: logarithmic formulas are used to get the solution. k = 3/7

Q: A solution exists for 5*x^2-4"x^(3/2) = 0 at the interval [1, 2]. O Yes No

A: To have at least one root within an interval, value of function must change sign. ℱ(x) = 5x2-4x32…

Q: Use the formal definition of the limit of a sequence to prove the following limit.

A: Let the function, For each value of ε we just need to find a value N which says that

Q: Use the table of Laplace transforms to find the Laplace transform of each of the following. 2. (a)…

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Q: Exercise 3. Calculate the solution of the following system: 1 6. *(t) + 27 -3 x(0) = *(0)= 0 3 ; x(…

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Q: Q.5: Solve the following linear programming model by using Graphical method on a graphical paper:…

A: Given Constraints:x+y≤15x+2y⩽10x-y⩽5To maximixe:Z=2x+3y

Q: Solve the following initial value problem by Laplace transformatio y" +9y =10e, y(0) = 0, y'(0)= 0.

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Q: For questions 4 – 7 consider the function z=9-2x+4y –x² – 4y? 4. The expressions for and are 5. A…

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Q: b. Solve the following higher order ODE using Laplace Transformation for y(t). y" + 3y" + 7y + 5y =…

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Q: 95 Solve the following inverse transform Laplace transformations. 7s +15 8² +2

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Q: 3. Use the second method of frame assignment, and find the Jacobian of the following robot using the…

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Q: Given the function f(x) = v2 · xã on the stretch 0 <xs 2, Use L·x = " x • /1+[f'(x)]* dx_ to…

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 8. f(t) =…

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Q: List the steps in details to draw the shape below using AutoCAD commands -190 - 220 50 9050 114 81…

A: AutoCAD is a computer aided drafting software used to develop 2D drawings and 3D models. AutoCAD…

Q: For the following function, the value of "a" is: 6(s +5) s²(s + 4)(s+ 3) b + s+4 a C d Y(s) s+3…

A: According to the information we use a partial fraction for this system  Many sophisticated rational…

Q: 4. The differentials of the following function (Z In(xy' /z') is equal

A: Derivative is the rate of change of a function with respect to a variable in mathematics. Calculus…

Q: 1. d²y + 2 -3y = 0 dx2 2. (D² +2D)y = 0 xp %3D %3D Find the general solution of the following:

A: Find the general solution of the differential equations.

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A: a. Given that f(x) = x/3 We know that slope intercept form y=mx+b Comparing with this equation y=…

Q: Q 1/3 Using the simplex method, find the optimal solution for the following objective function: Маx…

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Q: 5. sin' xdx

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Q: Construct the signal flow graph for following set of equations. X2 = a12 X, + a2 X3 + a42 X, + a52…

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Q: choose the correct answer: Express F = 100 N (shown in the figure below) as a Cartesian vector. *…

A: Answer : 35.4i - 35.4j + 86.6k

Q: Integrate the function X^2+2*x on the interval 0 to 3 with a step size of .5 using the trapezoid…

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Q: Use the inverse transforms of some basic functions to find the given inverse transform. S s2 + 4s

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Q: Q1:A/Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

A: Minimize Z = 20X + 30Y Subjected to X + 2Y ≥ 6 4X + 2Y ≥ 12 6X + 2Y ≥ 15 X ≥ 0, Y ≥ 0 X + 2Y ≥ 6…

Q: A uniform string stretched between the points (0, 0) and (L, 0) which has the following initial…

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Q: dy Use the modified Euler Method to solve the ODE dx subject to y = 1 when x = 0 1+x %3D on the…

A: Given, dydx=y21+x=fx,y yx=0=1 h=0.1

Q: 11.) Solve the following linear program using the graphical solution procedure:   Max 5A + 5B…

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Q: Solve the Inverse Laplace Transforms 3s +8 (82 + 28 + 5 ,

A: L-13s+ 8s2+ 2s+ 5

Q: Write MATLAB code to perform the following math expression: a) X=7, a=X+2 12 2 b) A=|22 L27 4 48 9.…

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Q: Solve the initial value problem below using the method of Laplace transforms. у" - у'- 30у %3D 0,…

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Q: Find the limit for the following sin(3y).cot (5y) lim y-0 y.cot (4y) اجابتك ulu il Plot the…

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Q: 1) Express the following graphs in terms of unit step functions a) y = f1(t) b) 1 1 1 y = f2(t) 1 2…

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Q: The definite integral of f(t – 1)dt = S dv is v – v, =;t² - t The definite integral of S ds = (t² –…

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Q: For the following problems let R = 2.65 ± 0.15 h = 12.5 ± 0.1 M = 136 ± 3 %D %3D X = 5.69 ± 0.02 y =…

A: Given: R=2.65±0.15h=12.5±0.1 To Find: πR2h

Q: Find the Laplace Transforms of the follo wing Runetions as funetion of Ş and Simpli Ey the Yesult.…

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Q: Two cables AB and AC are acting on the pole with forces FAB=540N and FAC = 560N with parameters…

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Q: To create AutoCAD Q: Use the principle of the geometric model shown in the following figure? R8 22…

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Q: Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to…

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Q: A solution exists for 5*x^2-4*x^(1/2)-4 = 0 at the interval [0.5, 1]. O Yes O No

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.