Graph the line that passes through the given point and has the given slope. 2 P(-4, 1); slope 3 10 Clear All 9 8 Delete 6 Fill 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 9 10 -1 -2 No Solution -3 -4 -5 -6 -7 -8 -9 -10 Help

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A: 1st we will find Characteristic  polynomial  and then find eigen values by equating it with zero . t...

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A: To write the given function which is described in graph. 

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A: Your approach is absolutely right!

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Q: . 2r"(t) – 2r'(t) – 4x(1) = 2eª

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Q: Let G = where abs(a) = 30. If H = , Find abs(G:H) and list all the left cosets of H.

A: Here we use the property of quotient group .

Q: 1. Is the following set of vectors in R³ linearly dependent: {(1,0,3), (2, 1, –2), (0, – 1,8), (7,2,...

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Q: 10. 2r"(t) – 2r'(1) – 4x(1) = 2e"

A: To solve the given differential equation. 

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Q: 1) Answer the follow under the given conditions. Calculator is only allowed to help simplify fractio...

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Q: Consider the Following matrix 1. 2 3 4 A= m. c) Find the Pollowing Funchion f A. Sin (At)

A: Here we will use the series expansion of ex and sin(x)

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Q: solve question (d) with explanation asap

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Q: . . Evaluate (a) (b) - 4 (c) 2j13

A: Complex numbers and multiplication

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A: The solution is given as  

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A: We will construct a linear programming problem according to the given conditions and solve it using ...

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Q: A polluted pool has an initial concentration of bacteria of 10* part/m³, while the acceptable level ...

A: Given: The differential equation that governs the concentration C of the pollutant as a function of ...

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A: Given  f(t)=5e^-at We need to sketch the decaying process and find Fourier transform

Q: Consider the Following matrix A= 2 3 4 a) Find all the egenialues and eigenvedors

A: The solution is given as

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Q: Determine whether these statement forms are logically equivalent. In each case, construct a truth ta...

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Q: 3 2 Find the value of x if 1 = 10.

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Q: Format: [*10^] . Indicate the sign only when it is negative. • Consider only 5 decimals for the res...

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Q: 4 Let (a,) be a numerical sequence such that lim a, = 4. Then the radius of conver- gence of the ser...

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Q: 1. Let f : R? →R be a function with continuous second partial derivatives, and define g(r, 0) = f(r ...

A: Given that gr,θ=frcosθ,rsinθ To prove: ∂2f∂x2+∂2f∂y2=∂2g∂r2+1r∂g∂r+1r2∂2g∂θ2

Q: B 24 12 17 6. 16 14 38 13 How many elements are in AU B? 41 78 21 ) 92

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Q: Question 2 The out-flux of the vector field F(r, y, z) = (sin(2x) + ye*, (y + 1)², –2z(y + cos(2x) +...

A: By Divergence Theorem, the flux of F→ through the surface of D is given by ∬SF→·dS→=∬∫DdivF→dV. Here...

Q: If f (x, y) = Vr3 + y3 In (x² + y³)esin(zy+y') + x°y+ 10 , then f. (1,0) O 4

A: Properties of derivative  ddxex=ex ddxxn=nxn-1 ddxsinx=cosx ddx(lnx)=1x

Q: roblem 1: Find the solution to the equation 2x^2 - In(1/3x) - 5x = 0. Use a tolerance of function er...

A: Given equation is 2x2-ln13x-5x=0 Take fx = 2x2-ln13x-5x Also,  f2 = 2×22-ln13×2-10=-1.5945f2 =-1.594...

Q: 24 12 17 16 14 38 13 C How many elements are in (AUB)n O 75 39 14 10

A: We have to find the number of elements in A∪B∩C from the given Venn diagram.

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Q: The temperature distribution u(x,t) of the one-dimensional gold rod is governed by the heat equation...

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Q: Gonsider the Following matrise A= 2 3 4 b) Find the transformahión to reach a diagonal form.

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Q: Find the root of the equation correct to 5 decimal places, using Newton-Raphson method with initial ...

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Q: Q4: A bank borrowed a company $130,000 to adjust a building. This loan is for 3 years at Compound in...

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Q: Gulong Inc are manufacturers of brakes sets for sedan and off-road SUVS vehicles. 500 hours is the a...

A: We will construct a linear programming problem according to the given conditions and solve it using ...

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Q: (b) Use the double integral to find the area of the region R enclosed between x = v2y x= %3D

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 7. Let A,B,C, and D be n x n invertible matrices. Solve for A, given that the following equation hol...

A: Let A, B ,C , and D be n×n invertible matrices then  Inverse of the matrices A,B,C and D  is exist

Q: The probability that it will rain this week is 20%. What are the odds in favor of raining this week?...

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