Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

Q: Determine £¹{F}. F(s) = 4s² - 14s +3 s(s - 4)(S-1) Click here to view the table of Laplace…

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Q: 5. The sequence of partial sums of the equation Σ (a)32 (b) 3/4 n=1 1 3n-1 (c) 1/3 (d) -1/3

A: We need to find the value of ∑n=1∞13n-1 Now ∑n=1∞13n-1=limn→∞ ∑k=1n13k-1                         =…

Q: B. Find a general solution of the following differential equation using Lapla y" - 4y + 4y =…

A: y''-4y'+4y=3sin(2t) where y(0)=1 & y'(0)=1

Q: 18. Over a period of one week, the Dow Jones Industrial Aver- age (DJIA) did the following: On…

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Q: (³x-2x4) p + (2y4-x³y) a = 92 (x³ - y3)

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Q: e. To solve the 2nd order ODE, x y" - (x + 1) y' - y = 0, by series method, the indicial roots are…

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Q: Use the formula {t"f(t)} (s) = ( − 1)n- dn dsn (a) L{t cos bt} s bt} (b) {1² cos (L{f}(s)) to help…

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Q: 3. For n x n matrix A. define R₁ = one of the Gerschgorin's disks {z: Iz-a₁j | ≤ R}. O True O False…

A: Statement: For n×n matrix  A. Define Ri=∑j=1,i≠jn|aij|, then, each eigenvalue of A is either in one…

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

A: Sol

Q: Determine the inverse Laplace transform of the function below. 6 s² + 49

A: Sol

Q: 7. The absolute norm for tensor of two eigenvectors of A = (33) is (a) 3 (b) √3 O O b O O d a C (d)…

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Q: 22- It is intended to form a student committee consisting of 5 people out of 13 male and 10 female…

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Q: Using Midpoint Method, calculate y4 for the following: y' - xy² = 0, y (0) = 1, The solution for…

A: For a differential equation  dydx=fx,y yn+1= yn + h× fxn+h2 , yn+ h2 fxn,yn   where h is the step…

Q: Given that f(z)=z-ż where does f'(z) exist

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Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

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Q: Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

A: The solution is given as

Q: Solve the initial value problem below using the method of Laplace transforms. y' +9y' + 18y = 160 e…

A: Some of the formula of Laplace transform are Leat=1s-aLy''=s2Y(s)-sy(0)-y'(0)L-11s-a=eat

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 12y' + 72y = 160…

A: Sol

Q: R is the region bounded by the functions f(x)=4/x and g(x)=x/4. Find the area of the region bounded…

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Q: Consider the differential equation (D₁): 2i(t) — 8e-z(t) +5=0, x(0) = ln(4) and the relation y(t) =…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i.…

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

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Q: QUESTION 1 Find the volume by using polar coordinates. The region bounded by the paraboloid 2x²y and…

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Q: The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz…

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Q: 3- Classify Vectors Analyze the following algebraic vectors. (Time estimate: 10 mins) a = (5, 2, 17)…

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Q: y=x² + 2x + 1 and y= 8x +8 1.) The appropriate integrand to find the area of the plane region it! 2…

A: Area between two curves y=f(x) and y=g(x) where f(x)≥g(x) from [a, b] is  A=∫ab(f(x)-g(x))dx

Q: A thin plate of constant density k, bounded by the parabola y=3x² and the line y=3 has a mass 4k.…

A: If mass of a region R bounded between y=f(x) and y=g(x) from x=a  to x=b  Then there two moments,…

Q: Given that L{cos bt}(s) = S use the translation property to compute Leat cos bt}. s² + b²,

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Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

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Q: 7. Let R be the region bounded by y = √cos, r generated when R is revolved about the z-axis. (a) V=…

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

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

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Q: System of linear equations is Inconsistent if System has no solution O System has unique solution O…

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Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý=2, 0 ≤ t ≤ 1, y(0) =…

A: K3 for W2 = 1  Option 2nd is correct

Q: Solve for the 1.Fixed Point-Alteration 2.Newton-Raphson Method 3.Secant Method a. 4x² + 3x - 3=0

A: According to guidelines we can solve only one problem

Q: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁…

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Q: Given that 2m-3-1-73 5 " then m =

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find critcal points of the system and use the eigenvalues and eigenvectors to sketch an accurat…

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Q: Determine whether the transformation (a) is one-to-one. T (1)-1 = 1+2 3+2x4+4x5 -2x1 - x₂ + 2x3 -…

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Q: how was the annihlator 1/(D^2-a^2) found ?

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Q: if a= [1 4 2; 5 7 3; 9 1 6], then C=det(a) = C = 89 C = -89 O C = 89.000 = None of the above if…

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Q: When using Adams-Bashforth method to solve the initial-value problem: ý= 1 + considered to be equal…

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Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: Construct a graph with vertices I, J, K, L, M, N that has an Euler circuit and the degree of L is 4.…

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Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: F A 5.7 6.3 7.2 6.6. 4.2 3.9 6.0 3.6 4.5 69 B 14.8 5.4 OC 7.57 3.3/5.1

A: The trip must start and end at A.

Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: Q2: A: IF 6 5 1 0 By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the…

A: Please see the attachment

Q: ## Commpact subse regular Space X and if of is subset of A such that .cey th there is a closed a…

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Q: A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: the scalar equation of a plane with normal  vector n=(A,B,C) is  AX+BY+CZ+D=0

Q: The owner of an apple orchard has field of new trees that are growing and producing more apples each…

A: We need to use the formula: g=a·b to determine the average growth rate.