Ex. Find the components gij of Euclidean welzik tensor in special coordinate system (²) defined from rectangular Coordinates (5²) by x'=>' ८-ঈ x² = e

Q: Use the method of undetermined coefficients to find a general solution to the system x' (t) = Ax(t)…

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Q: 5. Let L: R¹ R₂[r] be a linear transformation such that L0-r+2², L1=1+2 and 48 401 (1) -1+².…

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Q: A. Find the TOTAL SOLUTION of the following Differential Equations: 1. 3 d'y dt³ + 3 d'y 2 dt² 4 =…

A: Sol:-y''' +3y'' -4=5t2+4The general solution to anxyn+...+a1xy'+a0xy=gx can be written asy=yh+ypyh…

Q: A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water containing…

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Q: 3² dx dy + 2xy = sin y,x(n) = 1

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Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1   (x5 + 7 y) dx –…

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Q: I If the area inside both the cardioid r = 6 + 6 sin 0 and the circle r = 6 is A + B- then what is ,…

A: In this question, the area between two polar graphs is to be calculated. Given, The area inside both…

Q: 1 Solve the system: [-1 solve) 127 1 -1 -3 0] 1 -1 y = [1] (matrix multiplication then 2 X AN

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Q: 1. Which of the following transformations are linear? a. T: M→M defined by T(A) = A + I where A € Mn…

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Q: Consider the points A(3,-3, 2), B(6, -5,0), C(-1, –4,0), and D(6,3,-4). (a) Find the volume of the…

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Q: 3. [sin x cos x dx

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Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

Q: e-5t cos 2t+ e4t -1} =

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Q: 15- " + ý +4y=2 sinh t y". Hint: sinh t = (et - e-t)/2

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Q: AUTO MO - Define T: R¹ R³ by T(X) = AX where A = (3)TV a. Find ker(T). o proles 1 2 3 -1 135-2 3 8…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: let f(x)= 3^x and g(x)= 2x^2 +1 determine a) f(g(x)) b) f(g(0)) c) f^-1 (f)

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Q: Use the quadratic formula to solve for X. 6x²-9x+1=0

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Q: 3- y 4 cos 3t - 2 sin 3t

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Q: 1. Let {w₁, W2, W3} be an orthonormal basis for V. Given that v = between v and w₁ is 0 = 60° and…

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Q: 9 16 14 12 10 DECIZ 8 6 4 3 f(x)= x³ +1 2 -5 -4 -3 -2 1 g(x) = log₂ x 2 3 4 5 x

A: Here given  hx=fxgx=x3+1log2x

Q: Question No: 17 of 26 The general term of the geometric sequence -1,1,-1,1, is Answer (Please select…

A: Sol:-

Q: suppose and electronics company has three divisions D digital C computers and B business products…

A: a. Use the following steps for apportionment of seats using Hamilton's method: Step 1: To obtain…

Q: The world's tallest Ferris wheel is in Las Vegas. The height h in feet of one of the passenger seats…

A: The world's tallest Ferris wheel is in Las Vegas. The height of one of the passenger's seats is…

Q: Problem 2. Find a value for h so that the linear system 4 is consistent. (a) h = 4 (b) h=1 (c) h = /…

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Q: The trains will meet (Type an integer a decimal) away from the station.

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Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

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Q: Graph -10 + 10

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: in 4 method ТВС- тво-1 Example 1.8.6 Find the p sic equations of the plane that passes through the…

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Q: Find an equation of the tangent plane to the given surface za² + y² +1 at (1,1,3).

A: Given equation of the surface is  z=x2+y2+1 We have to find the tangent plane of the given surface…

Q: Find the volume of the region that is inside the sphere x^2 + y^2 + z^2= 25 and the cylinder x^2 +…

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Q: One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival Tickets cost $25…

A: Let us call the pavilion seats sold "p" and lawn seats sold "l". we know that there were total 1400…

Q: 2.An object whose temperature is 100°C is placed in a medium whose temperature is A°C. The…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: f(x)=x²¹x²+x-ac The approximation of the root x of the function 10 using Newton's method starting…

A: We are given that f(x)=x3-14x2+14x-15,   x0=0.4 then f'(x)=3x2-x2+14 now we will find the root of…

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1   (x5 + 3y) dx – 6…

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Q: 6. Use Itô isometry to calculate the variance of each of the following: (a) f etW (t) dW(t), where 0…

A: Given: Let us consider the given and compute the variance, a) ∫abetWt dWt, where 0≤a<b<∞; b)…

Q: From the truth table, for p q to be true both p and q must have the same truth values.

A: This is a problem of Logic.

Q: A clamped cubic spline S for a function f is defined by (x-1) + (x-1)² = (x - 1)³ S(x) (a + b(x-2) +…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" + 7y' +12y = 72 e…

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Q: 5. (x+3)y" + xy + (n [x])y= 0, y(1) = 0, y'(1) =

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Q: Use the method of undetermined coefficients to determine only the form of a particular solution for…

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Q: Use the level curves in the figure to predict the location of the critical points of f and whether…

A: Given function is fx,y=4+x3+y3−3xy. We have to find the critical points of f and whether f has a…

Q: Using Newton's method, the approximation of the root x of f(x)=x²-1 accurate to within 10 starting…

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Q: Given the initial value problem shown below: 2 dy dx ty2 ²₁x² + y²₁ y(1) = 31. Find the exact value…

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Q: Consider the data set {3, -5, 7, 4, 8, 2, 8, -3, -6}. (a) Find the average A of the data set. (b)…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Use the given equation of a line to find the point, P = line and a vector, v = (Vx, vy), parallel to…

A: given equation of line  x=(1-t)(6, 7)+t(-5, 0) We a have to find a point on this line and a vector…

Q: We have verified that x² and x are linearly independent solutions of the following second-order,…

A: Given   :  x2y"-4xy' +6y=0 To find : the general solution of the given equation .

Q: -1 9 2 s +64

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Q: Why can SA = 2 x (area of base) + (perimeter of base × height of solid) be used to find the surface…

A: We need to determine the reason behind the use of the formula: SA=2x(area of base)+(perimeter of…