ACTURE QUISION, IS DESCRIBED BY THE EQUATION y = COSH x WHERE X e Y ARE HORIZONTAL AND VERTICAL POSITIONS RESPECTIVELY. CALCULATE; os es (i) THE VALUE OF Y WHEN I IS 104. (ii) THE VALUE OF X WHEN Y IS 180.

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A: Sol:- A second order linear, homogeneous ODE has the form of   y''+py'+qy=0y'' -6y' +9y=0Here…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: 2. Construct a formal proof in proving the following argument. Follow the steps presented in this…

A: Introduction: The natural deduction is a way to establish the validity of an argument. Rules of…

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Q: Let f(x, y, z) = 9 (√√x² − 4y² + z x² + 16y² + 2², where 9 is some nonnegative function of one…

A: Given, f(x,y,z) = g(x2-4y2+z2)x2+16y2+z2 R→(u,v) = 1+4v2cosu, v, 1+4v2sinu   we have to find the…

Q: 26. Find moment of inertia of cone about its symetry symetry axis? iii). Find principal axes of…

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Q: 1. Laplace Transform. Solve the following differential equation completely. y" + y = 1+ 2t³ et…

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Q: 11. x²y" - 2xy + 2y = 0, y (1) = −1, y (2) = 1

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Q: Consider the function f(x, y) = 3x³ + 3xy² - 18x - y² Compute the stationary points of the function…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

A: L{t^n}=(n!)/(s^(n+1) ).

Q: Differentiate the function f(x) = 7√x - 2. (Use symbolic notation and fractions where needed.) 7…

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Q: 1) Let T a b la + 2b +2c + 1d + 7e+ (-1) f la + 2b + 4c + 4d +21e+(-2)ƒ la + 2b +3c+ 2d + 12e + (-2)…

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Q: The final grade in a particular course is determined by grades on the midterm and final. The grades…

A: Given, The matrix B is 0.50.20.50.8.

Q: (b) Solve the following IE u(x) = f* (z + 1²) dz by "Adomian Decomposition" method.

A: Solution:

Q: III. dy y³ dx x²y-xyz

A: Sol:- y' =y3x2y-xy2Substitute y=vx, v is a function of xxv' +v=v21-vRewrite in the form of a first…

Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

A: Given that f:I→R is an monotonic increasing if and only if  f'(x)≥0 for all x∈I The Statement is…

Q: Use Trapezoidal Rule to find the lower bound m and the upper bound M of the value of the integral…

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Q: The figure on the right shows the intersections of three one-way streets. Use Gaussian elimination…

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Q: b. Compute the matrix AB and assign each of the five students a final course grade first using…

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Q: (e) Use your answer to part (a) to find the general solution of the following system of linear…

A: Let us consider a system of the differential equation X'=AX Determine the eigen value and eigen…

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Q: Refer to Figure below; disregard the differential lengths and imagine that the object is part of a…

A: From the given information,  We have to find the surface area AEHD.

Q: Consider the matrix 1 1 [1 A = 1 -1 1 Lo 0 1] a) Compute the eigenvalue decomposition (eigenvalues A…

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Q: b B 36° b≈ a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: Transform and

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?…

A: Sol:- Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f 'x>…

Q: Find the solution of the given initial value problem: y(4) + 2y″ + y = 9t + 6; y(0) = y′(0) = 0,…

A: The given equation is: y4+2y''+y=9t+6 And the initial conditions are: y0=y'0=0, y''0=y30=1 We have…

Q: Describe the graph of the equation. r = 13 cos ti+ 8 sin tj - k O It is an ellipse in the x = 1…

A: Solution :-

Q: Find the inverse Laplace transform of the function. where y(0) = 1, y(0) = 0 and y" + 4y = f(t).…

A: Sol:- Since f(t) function is defined in the range t≥4 , so it can also be written as 3H(t-4)(where…

Q: y' : 320 -1 1 0 004 у

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Q: Find the solution of the initial-value problem y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) -…

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Q: A computer costs five times as much as a printer. a. write an expression to show the cost of the…

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Q: hree relations are defined below. Decide whether each of these relations is reflexive, symmetric…

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Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4v₁ + 5V₂),…

A: Let us consider a transformation T:R3→R2 defined as T(v)=w Here T(v) is the image of v v is the…

Q: For a cylindrical can (depicted in the figure, height h and radius r) with volume 2π m³, compute the…

A: Surface area = 2πrh+2πr2 Volume =πr2h = 2π

Q: paper ugn any gadget or app for writing/drawing), create the truth table for he following compound…

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Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

A: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

Q: Given the graph of f below, which of the following is (are) true about fat x=a? (a) f is continuous…

A: a) f is continuos at point a  because f' has maximum value at that point. This implies f has minimum…

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Q: Given Table of Materials and Cost of Production of the Two Antibiotics Materials Ingredient 1 (X₁)…

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Q: 03: For the surface f(x, y, z) = tan(xy + xz+yz), find: (1) the gradient of f; (2) the directional…

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Q: 11 Let f: D → R and c be a cluster point of D. If f'(c) exists then f(x)→f(c) as x→c. Always Be My…

A: Let f : D → R and c be a cluster point of D. f'(c) exists This implies for given € > 0 there…

Q: Let f: XY and A,BCX. Give an example of a function f and sets A and B that f[A\B] #f[A]\f[B]

A: Take any constant function and subsets A and B such that they overlap.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: 1. Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1.1) to (1,1,0) and C₂ is…

A: Given Data: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is…

Q: 1. y" + y = 0, y' (0) = 0, y' (n) = 0

A: