Let B be the basis of P, consisting of the three Laguerre polynomials 1, 1-t, and 2- 4t +t, and let p(t) = 12 - 19t+ 5t. Find the coordinate vector of p relative to B. [p]g =

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Q: lity that a patient recovers from a stomach disease is 0.: is the probability that exactly 13…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

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Q: 2. Consider the following matrices : 1 2 -1 3 1 and B = 3 2 A = 4 2 -1 -2 5 (a) Find At. (b) Use the…

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Q: 4. Let A be an invertible matrix having A1, ..., Xn as its eigenvalues. a) Find all the eigenvalues…

A: The given question is related with linear algebra. Suppose that A is an invertible matrix having λ1…

Q: d) Using the numbers you found for ,A, ,B, and ,k, write the equation for the temperature at any…

A: (d) From part (a) and (b) the value of A=68, B=17.9 and k=0.002564. Substitute A=68, B=17.9 and…

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = (x² + 64) over [0,…

A: Find the centroid of the region lying under the graph of fx=x2+64-12 over 0, 7. Formula: The…

Q: Find the inverse Laplace transform of the following function 4 F (s) : (s – 1)3 %3D

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Q: Solve every problems given and provide the corresponding answer/s needed. Calculate the real values…

A: Given, x+iy3 is real and x+iy=8Equation: z-12=i(9-2z¯)To find:1) Value of x and y…

Q: f (x, y) = 3x? + y + 4xy + 8 %3D af(z,y) when x = 2 and y = 1? dy What is the value of

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Q: The triple integral below gives the volume of a solid region in space, D. V = S (1-y dzdydx Rewrite…

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Q: (a) If b² – 4ac 0 and y, em solves ay" + by + cy - 0, use reduction of order to get a linearly…

A: Given differential equation is  ay''+by'+cy=0 where given b2-4ac=0 and y1=emx is one solution of…

Q: -6 -I 5 X = X2 X3 %3D 2. -4 2. 구 3 -3 3 X2 = 0 X3 =0

A: Introduction: The multiplication between two matrices is possible. The only condition is that the…

Q: Ikdis a metricon a vector space (Xキ3)。 show that d connot be obtained from a norm.

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Q: A/ find solution for the differential equation below: Y"" 6Y" + 11Y – 6 = 0

A: Given differential equation is y''' - 6y'' + 11y - 6 = 0

Q: A/ find solution for the differential equation below: Y"' - 6Y" + 11Y – 6 = 0

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Q: Сompute 1. f dx, where f(x)=|x|.

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Q: Determine an equation of the form Ax t By t (z t D=0 for the plane that coutains the line (x, Y,z) =…

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Q: show that the given system is almost linear near the origin and discuss the type and stability of…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: z = 45+j3

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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Q: Ce ce*ty)x H(2+>xtye J ,yco) = ! 0, y(o)

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Q: Solve the initial value problem below using the method of Laplace transforms. w" - 6w' + 9w = 9t +…

A: We have to find the solution by Laplace transform.

Q: Find the eigenvalues and bases for the eigenspace of the matrix [4 -3 01 3 Lo 4 2]

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, Y)…

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Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

Q: Зах (х+6) x+4

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Q: 11. Find the second partial derivatives of the following function and show that the mixed…

A: 11

Q: Added Problem 2: Suppose that over a 50-day period a person runs at least one mile a day, and runs a…

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Q: 2 4. S dy 1 y +y° - 3

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Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: 8. Natalie recently purchased her first home for $166 000. Calculate the amount of Natalie's…

A: Natalie makes a downpayment of 15% of the total amount.

Q: Using partial fractions and geometric series formula, find the Laurent expansion of the following…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Suppose a = (5, 3, -4) and i = (3, –5, -2). Then: 1. The projection of i along i is 2. The…

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Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

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Q: 4. Determine the open intervals where the function is concave upward and the intervals where the…

A: Given: f(x)=112x4-2x2-x+3 To find: Open intervals where the function is concave upward and the…

Q: H.W:- Used Cramer's Rule to find the value of the variables in the following equations: 5x + 4y = 11…

A: Creamers rule is used

Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

A: Given that y1=-3x2e-3x and y2=7x3 are solutions of a linear homogeneous equation with constant…

Q: Prove the following three identities: ΗΧΗ-Z HYH=-Y; HΖΗ- Χ.

A: We have to prove,  HXH = Z ; HYH = -Y ; HZH = X

Q: Calculate the arc length of y = x² - In(x) over the interval [1, 10e]. %3D (Use decimal notation.…

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Q: 26 If 91 iaるみ 78435167, find 7.

A: 9 divides 123x78425167 if the sum of digits of 123x78425167 is divisible by 9.

Q: Select Surface 1, the function f(x, y) = x + xy + y, under the Explore & Test section of the Explore…

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Q: For the subspace below, (a) find a basis, and (b) state the dimension. 9a+ 18b - 3с 12а - 4b - 4с :…

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Q: Determine whether each improper integral below converges or diverges. -3x 1. S xe dx хе 1

A: We use definition of convergence of improper integral.

Q: I need To find a Sequence of functions (m c^(E-!, 13) That is cavchy Cuith Il ) and does not…

A: Given: C1-1, 1 To find: A sequence of functions in C1-1, 1 which is Cauchy but not convergent in…

Q: en that yi = -3x²e-, y2 = 7r are solutions of a linear homogeneous equation a constant coefficients,…

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Q: 1. Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: The formula we need to use here is n = lnDiDi-Pln1+i

Q: Find the coefficient of x® in (1+ x² + x4 + x®)4.

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