Using Cramer's rule compute the solution of the system 3 1-9 = 2 1 2 0 0 2 1 -3 -3 0 X1 X2 X3

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 4 5 6 7…

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Q: Use variation of parameters to solve the given system. 05 - (- 5)× + (-16) et -1 6 X(t) = X' =

A: X'=05-16X+16-16et

Q: For each of the following series, determine whether the series converges, diverges to ±∞, or…

A: The given series, i) ∑n=1∞sin23n+22n2-3 ii) ∑n=1∞1n-2π iii) ∑n=1∞n+1n3+2 We have to check the…

Q: A berry box, sold to contain a quart of berries is in the form of a frustum of a right pyramid 15…

A: Area of the top of the frustum is 15 in2 Area of the bottom of the frustum is 12.5 in2 The height of…

Q: Solve using Undetermined Coefficients 7.D¹y = 5x

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. y dx…

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Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. C A =…

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Q: Solve using 1. (D² - 5D + 6)y = x²e* + 2x undetermined coefficients. Use A, B, C and etc. for…

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Q: Decide whether the following describes a simple random sample. A telephone company wants to…

A: Here all the customers constitutes the population of customers.  By the computer, the sample is…

Q: 1. 1. Using the definition of Laplace Transforms: Lif(t)=[e" f(t)dt, evaluate the following: 2. Le"}…

A: As per our guidelines only first three subquestions are solved. For remaining solution of…

Q: 9. Find the equation y = ax² + bx + c of the least-square parabola that best fits the given data…

A: The given problem is to find the best fits least squares parabola y=ax2+bx+c from the given data…

Q: Which of the following is a subspace of P3 (the set of all polynomials of degree less than or equal…

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Q: f(x) = x4 - 8x³ + 8 Answer the following by showing supporting work for each answer. Do not simply…

A: Given: fx=x4-8x3+8 A. List the interval(s) for where the function f is increasing. B. List the…

Q: Question 2 Let f(x, y) = 1- y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². a) Find all the local…

A: Given: Let f(x,y)=1-y3-2yx2+3x2+3y2 and h(x,y)=x2+2y2. To find: all the local maximum and minimum…

Q: Above xy plane

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Q: 3 (a) From first principles, find To(x), the Taylor series expansion of (1 - x)-¹ about x = 0.…

A: Solution (a):-

Q: At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

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Q: Find the volume of the solid enclosed by the cylinder y = x² and the planes z = 0 and

A: The given problem is to find the volume of solid enclosed by the cylinder y=x2 and planes z=0 and…

Q: (8) (a) Compute the Fourier sine series for the function f such that f(x) = x² on the interval [0,…

A: Fourier series is the expansion of a periodic function as the sum of linear combinations of sine and…

Q: Let RCIXI be the relation on I = [-1, 1] given by the set pictured below. (The set contai the points…

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Q: If L represents the limit of a function f(x) at point a, then it is both continuous and…

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Q: Iff, g, and h are f A(x) = (xf)' (x²f)" differentiable functions of x and 8 h (xg)' (xh)' (x²g)"…

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Q: Use annihilators to solve "-6y +9y=e5t

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Q: Utilizing 0.0001: a Maclaurin series, evaluate the integral to an accuracy of 0.2 x ex - X -dx

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Q: Find the Annihilator of the given function(s) f(x) = cos(2x) + 4sin(3x) a. (D²+3)² b. C. d. D² -3D+4…

A: answer is b

Q: Let S be a set, P(S) is the powerset of S, and let T be the set of all functions from S to {0,1}.…

A: Let S consists of n elements.  Then, P(S) denotes the power set of S which is the collection of all…

Q: determine whether x = 0 is an ordinary point or a regular singular point of the given differential…

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Q: -4 (3x² + 5x) 52

A: Using derivatives property we  can find derivatives of y

Q: Given the region R on the right, use vertical trip, SET UP the double integral that will olve its…

A: Given: y=x , y=x3 To find an area of region R.

Q: Find the face value of the zero-coupon bond. 20-year bond at 3.5% (compounded semiannually); price…

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Q: Evaluate the integral √√(2+3) · ²²-²dA, where R is defined by ² + y = 3, x + y = 5, e R x² - y² = 1,…

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Q: 8. For the angles a and b in the figures below, find the exact answer for cos(b-a), without using a…

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Q: The number of cell phone accounts in a certain country has increased exponentially for the last…

A: The number of cell phone accounts  in this country  can  be approximated by the function  is…

Q: An engineer wishes to make 50 concrete posts (0.8 meters high), each in the form of a frustum of a…

A: Total number of concrete post 50 Height of each post 0.8 m Base of the frustum have side 0.10 m  and…

Q: 2. tds-t³edt 3 = when s= // (3t+1) sdt t=1

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Q: (7) 2. Graph the rational function below. Find the intercepts, label and graph all asymptotes. x-1…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write, the…

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Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=2f(x-1). Continue O…

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Q: 1. Find the eigenvalues and eigenvectors of (a) (1 -2 14 6 -4 b) († 2¹). (i 1

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Q: 1. Find the total area of a frustum of a right circular cone with slant height of 0.8 meters and…

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Q: Obtain the general solution: (SEPARATION OF VARIABLES) 3. y' = y secx

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Q: Let A, = is constant. r-1 n (r-1)² 2n² (r−1)² 3n³ 6 4n-2 3n²-3n Show that A, ΣΔ, r=1

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Q: For each of the following series, determine whether the series converges or diverges. (Sum from 1 to…

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Q: Find any critical numbers for the function f(x) = (x+2) and then use the second-derivative test to…

A: The given function is fx=x+26. Our aim is to find the critical points of the function if exits and…

Q: 4. Suppose that f(r) = ² 5e +4. Find the domain and range of this function. Find all maxima and…

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Q: Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system y₁ =…

A: Given Data: Let us consider the given data, y1˙=4-y1ey1y2y2˙=y12-y12y2

Q: III. Solve the differential equation (4x - 3y + 13) dx + (4y − 3x −15)dy = 0 ; y(1) = 2

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Q: ● y" + 2y' = 6e-22. Your Answ

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Q: For each of the following series, determine whether the series converges or diverges. (Sum from 1 to…

A: The given series, 1. ∑n=1∞4n+2n3n 2. ∑n=1∞sinn3 3. ∑n=1∞1n2+2n 4. ∑n=1∞n+2-n. We have to check the…

Q: Which of the following are counter-examples that show f:= {(X, X): XC Z5} from P(Z5) to Z is not…

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