18: Which of the following functions has no critical points? A: f(x) = -x² + x² B: C: f(x) = x³ + x2 + 2x² + 4x² + 6 D: f(x) = 2x² + x + 2 f(x) = x₁ ex

Q: Determine the first root of the function f(x) = -13 - 20x + 19x²-3x³ with (a) bisection method, and…

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Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

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Q: Find the solution of the Euler equation on (0, ∞) with initial conditions x²y'' + xy' + y = 0, y(1)…

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Q: log3814 4log100-2 b) -log0.0135 d) 2log4128-5

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: a b c 1. If det d -2a e f=3, evaluate det 5b c+4b ghi -2d -2g Se 5h f+4e i+4h

A: given abcdefghi=3 -2a-2d-2g5b5e5hc+4bf+4ei+4h=?

Q: 1 (2¹) 4 4

A: Given matrix as, A=-2144

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A: It is given that X has the discrete topology. Check whether the infinite product Xw with product…

Q: 3. Considere la función e-2 sit > 5 f(t) = 2t si 0≤ t ≤ 5 To calculate {f(t)} using the definition,…

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Q: Is the function u(x, y) = x² − y² harmonic? If your answer is yes, find a corresponding analytic…

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Q: transform the given differential equation into an equivalent. system of first-order differential…

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Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

A: We have to find the solution to the given problem.

Q: 3. Consider the vectors 1 W1 E W2 = and the subspace W = span{w₁, W2, W3} CR¹. (a) Find an…

A: Given, as a matrix: 10-1121011000    ~       10-1022000000   Rank = number of pivot elements =2w1,…

Q: d) 2log4128-5

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: If u and v are the two solutions of d'y dy dx² + P + Qy = 0 dx uv₂u₂v + P (uv₁ - u₁v) = 0 (uv₁u₁v) =…

A: The given differential equation is d2ydx2+Pdydx+Qy=0.....(1) To prove: (a) uv2-u2v+Puv1-u1v=0…

Q: Q4. Differentiate term by term the power series E-o(x-7)". dy Q5. Solve: = y² (1+x²), y(0) = 1. dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 6. What are the advantages and disadvantages of algebraic vectors compared to geometric vectors?

A: Algebraic vectors deals with the properties of vector space, main part of linear algebra. Using…

Q: Use Euler's method to compute the approximate y-values, y(1.2) and y(1.4), of the solution of the…

A: Numerical differentiation:  Euler's method

Q: Math for Engineering (2)Sec S Σ LIM N etf be the 2-periodic function on (-00,00) defined by +*-*≤ ≤0…

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Q: The Cauchy's formula for a Rectangle: Let Q be an open subset in C and f be a complex differentiable…

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Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: 6. In the process of calculating given by: s-1 al + -84-1 - 1)² + a² Determine the value of B² {o…

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Q: ing pay which the customer still owes $8 t

A: (a) Find the value of A for which the customer still owes $8480 at the start of each month.

Q: that the function. 22²2² Bin 12 f(x) == x2 0 (x=0) of bounded variation on [1,1]. کر ۔ (x+0)

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: 4. Let C₁ be the set of all continuous real-valued functions on I = [0, 1]. (a) Show that d : C₂ ×…

A: According to our guidelines I can answer only Question no. 4(a).

Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

A: Given, surface x2+y2+z2=25and anothersurface z=3x2+3y2 E be solid region inside surface x2+y2+z2=25…

Q: Given vectors and with || = 8 and || = 13 and an angle of 50° between them. b) Find the angle of ū -…

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Q: = AY with A = ').L dt 26 20 corresponding straight-line solutions Y₁ (t) = (21(1))) and (t). nsider…

A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

Q: Using the bisection method, find an approximate root of the equation sin x = 1/x, that lies between…

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Q: Let be the double integral given by -22 0 (4-(y-2) dxdy, do the following a) draw the region of…

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Q: In a laboratory setting, the heart rate of a patient was carefully monitored. Below is the graph of…

A: Solution:At t=0, heart rate is 110, Maximum is 160 and minimum is 60.This sinusoidal function will…

Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

A: Note : (i) Cross section of two surfaces is a common curve lying on the both surfaces           (ii)…

Q: revolved about a p. 32 a. Tp cubic units 15 Ob. 64 -πp cubic units 15 C. None of the choices. Od. 64…

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Q: 4x₁x₂x₂ = x2 X2 = 3 2x₁ + 6x₂ + x3 = 9 x₁ + x₂ + 7x₂ = -6

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Q: 3. Suppose that {f(t)} = F(s) with F a differentiable function and that L{f'(t)} Exists. Then…

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Q: If You have this information about return of stock in 3 periods: -12%, 20% and 25%. calculate: The…

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Q: Consider an RLC circuit with resistance 2 ohms, inductance 0.05 henrys, capacitance 0.006 farads,…

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Q: (2x + 1)2y" - 6(2x + 1)y' + 16y= 8(2x + 1)²

A: To Solve: The differential equation (2x+1)2y''-6(2x+1)y'+16y=8(2x+1)2.

Q: 24 Across:  The ___________ of a BVP quite often are proportional to the natural frequencies of the…

A: The ___________ of a BVP quite often are proportional to the natural frequencies of the problem.

Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

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Q: Solve by using the method of undetermined coefficients :

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Q: L [1\ucos Puf) Ju

A: 1st we will find value of integral using integration by parts and then use Laplace transformation…

Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: y = -0.2 (x−5) -6

A: Consider a function y=0.2x ......(1) The graph of the function is

Q: termine if F~ (x, y, z) ), where F~ (x, y, z) = e^x*sin (y)ˆi+e^y*sin (z)ˆj+e^z*sin (x)ˆk. is a…

A: Given,         F→x, y, z=exsin(y)i^+eysin(z)j^+ezsin(x)k^

Q: The function f is defined as follows. X if x #0 f(x) = if x = 0 2 Plz solve all parts I' upvote your…

A: Given: The value of the function. To find: a) Domain              b) Locate intercept…

Q: y=-0.2(x-5) - 6

A: Given: y=-0.2x-5-6 To list: Parent function and 4 transformations used.

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: 11. Given y'+y=5 sin(2t)   (a) To draw: Direction field for the given differential equation   (b)…

Q: 4. Consider the convolution f(t) = 24 2(t-11), where corresponds to the Heaviside or unit step…

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Q: in the form u = Rcos (wot-6). √3 sint u=-cost + V

A: The given problem is to write the given trigonometric term in terms of single term as u =…