Q2. Find the angle between the vectors <-2, -1, 3> and <2, 1, -3>.

Q: y = ae²x y = ae + be + bela -12 on to the nonhomogeneous equation y" - y' - 2y = -6e y = 12e² y =…

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Q: Scenario 2: The mean content of 25 bottles of brand S mango juice is 255 ml with a standard…

A: Given : μ = 360 ml Ẍ (Mean) = 355 ml σ (Population Standard Deviation)= 9 ml α= 0.01

Q: Solve: D₁(r(t) = u(t)) X r(t) = 6ti - 4t³j + 5t²k u(t) = -2i+ 5t²j - 6t³k

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Q: Provide an example of a topological space that is connected but not path-connected,why?

A: We use definition of connected and path connected sets. We use contradiction method.

Q: 1. Some graphing calculator only accepts common logarithms, then the equivalent equation a student…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Let A be an invertible matrix of size 3 x 3. Let {x₁, x2. X be a set of three linearly independent…

A: Given A is an invertible matrix of size 3 x 3.  We prove that if {x1,x2,x3} be a set of three…

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: How many second are there in a year

A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…

Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂! 64x² d²y + +60x+y=0 dx² dx 64(x-4)²…

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Q: Suppose that a numerical method is used to approximate the solution of an initial -value problem…

A: Given: Interval=1,5 To find: a) Runge Kutta method b) Runge- mid point method c) Euler method

Q: N o q Lor -00 10 The function determining the shapes above is f(x) = a√z. The area shown on the…

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Q: Let pn (2) be the Taylor polynomial of degree n of f(x) = cos x about Problem 2. a=0. How large…

A: The given function is: fx=cos x The remainder for the Taylor series about x=a is determined as…

Q: A manufacturing process has marginal costs given in the table; the item sells for $34 per unit. At…

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Q: Find the exact values below.

A: (i) Given,         sec7π6=

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: Given that the number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic…

Q: 1. A system is composed of a rod and a disk, as shown at t = 0 below: 6 -6 4 6 -2 -4 -6 The axes…

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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: Using the logical tools developed in this course to determine if the following reasoning is valid.…

A: Introduction: Natural deduction is a tool to establish the validity of an argument. It is mainly…

Q: . Find inverse Laplace:

A: Note: As per Bartleby guidelines, we cannot author handwritten answers, so I am giving type written…

Q: Sketch a graph of a function f that satisfies all of the given conditions. lim_ f(x) = -00, X→ 2 lim…

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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: 19 1. The expression -1 n is equal to n=1 9 O 45 O 50 O 362880

A: I have given the answer in the next step. Hope you understand that

Q: QUESTION 6 Find the indicated vector. Let u = [²] = [3²] V= 9 9 Find 7 v - 6 u.

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Q: let W be vector that space and suppose USV SW are subspaces of W. Show that W N/u W ~ V/₁ defined…

A: Let W be a vector space over F   and suppose that U⊆V⊆W are subspaces of W. To show: WUVU≈ WV

Q: Consider the linear system dt = AY with A = Find the corresponding straight-line solutions Y₁ (t) =…

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

Q: 19 Across: The equation ut  = uxx is commonly called the __________ equation.

A: We will use basic definitions of pde

Q: 3. Given f(x) = x + 1 and g(x)=x² - 2x - 3 a) Graph f(x) and g(x) on the same axis. V b) Use the…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: . Compute the central difference approximations of O (h^4) for the first derivative of y = cos(x) +…

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Q: y: 4 0.2x +5

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Q: Let 21 = 8(cos(190°) + i sin (190°)) and Z2 = 17(cos(14°) + i sin(14°)). Compute each of the…

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Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

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Q: 4. (a) Find the general solution of the system x₁ = 4x17x2, x2 = 7x1 + 4x₂. (b) Let a and b be real…

A: We solve by eigenvalues and eigenvectors method.

Q: Use Stokes' theorem to calculate c

A: Given,        F=xzi^+2zj^-xyk^ and C is the intersection of the plane y=z+2 with cylinder…

Q: 3 y = 4 0.2x +5

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Q: f symmetry, and x-intercept(s).  vertex     (x, f(x)) =               axis of symmetry…

A: Introduction: The quadratic function f(x)=a(x-h)2+k is considered to be in standard form if an is…

Q: x²yy' = (y² - 1)3/2

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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: Let f(x) = (x + 1)² - 1, x 2-1. Then the set {x:f(x) = f(x)} is

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Q: 3. Answer the following questions. Show all solution steps: x3 y6 z4 a. Simplify: ÷ 2(x4y7)⁰ xm y2…

A: (a) we have to simplify x2x4y70÷x3y6z4xmy2z-5 also, m=2 Then x2x4y70÷x3y6z4x2y2z-5

Q: 5Q. Solve the differential equation 2y" + xy' + y = 0 by power series method.

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Q: Let u = [3] [3] V= 9 Find 7 v-6 u.

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Q: 95895

A: Division is another important binary operation. The number that is divided by a number is referred…

Q: 2= The deformations of a body are presented as follows. Find the Cauchy strain tensor [Cij] and…

A: From the above details we get,

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At 1:0,…

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Q: SUCH THAT LET H BE A PROPER SUBGROUP OF G V x,y € G-H, xy EH. PROVE THAT HAG.

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Q: Show that the sequence ffn}, where fnox) = ne is uniformly convergent nx+1 on [a, b], aso but is…

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Q: y' (t) = sen (5t) - 25 25 [y(u)du y(t) = sen (5t) *g(t). When solving. With y(0)=0 you obtaing the…

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Q: 2 S[(y-ýj-y] dy D Draw the and calculate integral region of integral your value

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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: C d e a f Figure 12: An undirected graph has 6 vertices, a through f. 5 vertices are in the form of…

A: Given: Graph with 6 vertices. To find: Euler's trail