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Q: Find the dimension of the splitting field of each of polynomials, 1. x^4+1 2. x^4-2

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Q: ppose a subspace is spanned by the set of vectors shown. s for the subspace, using the method of…

A: In this question, the concept of the span of the vector is applied. The span of a set of vectors is…

Q: (iv) If Z{y«} = Y (z), yo = 0 and y, = 1, then Z{y«+2} = z²Y – z. %3D (v) Z-1{ = 2* , k = 1,2,3, .

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Q: You roll a coin 200 times, what is the expected number of heads? O 1/2 200 100 100%

A: The given question is related with expected value. We have to find the expected number of heads when…

Q: (a) Define the symbols ôf/DE and af/dz by af 1 (af 10f 2 (dr af 1 (of 18f i by, dz 2 dr' i dy as…

A: Since you have asked multiple questions, we will solve the Question (a) for you. If you want any…

Q: Use the total differential approximation to calculate sqrt((3.91)(9.11))

A: Use the total differential approximation to calculate sqrt((3.91)(9.11))

Q: Are the statements P → ¬Q AR and ¬P v (¬Q ^ R) logically equivalent? Explain why.

A: Let p and q be two propositions.  If the propositions p and q are logically equivalent, then they…

Q: 3. Find the points of relative extrema of the following functions on the specified domain: (a)…

A: Introduction: Evaluation of maximum and minimum value of a function is one of the most important…

Q: Determine whether the following series converge or diverge by using any appropriate test: 1+ k4/3 a)…

A: Given the following series (a) ∑k=1∞1+k431+k53 is an infinite geometric series,  then By the limit…

Q: Q2/Use the method of bisection to find the positive root of the equation (x)2 – 5x – 10 = 0 Correct…

A: Bisection method, solve the linear equation

Q: Let E be the region bounded cone z 3 - (z² + y³) and the sphere z = 102 2² – y . Provide an answer…

A: Given the region bounded by z=-3x2+y2 and the sphere z=102-x2-y2

Q: Stated that f(z) = ? (n+1)n (-2)"¯ Ln=1 1. Solve for a representation of a power-series for f(z)…

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Q: show your solution thank you

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Q: In the figure below, AB is a diameter of circle P. What is the arc measure of minor arc AC in…

A: Given AB¯ is the diameter of circle P

Q: If [3-2 fro] dse =15 Then

A: Evaluation of the definite Integrals,   by using properties of the definite Integral

Q: (-36)

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Q: Find the dimensions of the following vector spaces. (a) The vector space of 2 x 2 matrices with…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: X Use Geometric Means to solve for x. Round to the nearest hundredth

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Q: y" + 6y"+ 11y' + 6y = cos(x) +e^{-x} %3D

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Q: 3. Strontium-90 is used in machines that control the thickness of paper during the manufacturing…

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Q: f(x) = x ° – cos(x) Solve this question by the Newton-Raphson method on the topic of solution of…

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Q: If you want to earn 15% annual simple interest on an investment how much should you pay for a note…

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Q: 1. Which of the following is an integral representation of the gamma func rw) - r(x) = - 1)l dx

A: Definition of the Gamma Function

Q: Find the solution. y'- ty = ty" A y - (1-e') ® y - (1-a') © y - (1-")

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Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

A: Given that Present value=203,000 rate=7.05% Time =30 years We have to find monthly payments, total…

Q: (b) Find the z-transform of f(-÷)` ux given that Z{ux} z-1

A: Z transform of the function

Q: that is an ei -1

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Q: Draw a portion of a tessellation that can be made using the given shape.

A: A tessellation is a shape made by repeating one shape again and again.

Q: Find a particular solution to y" + 8y' + 16y : -7.5e 4t t² +1 Yp =

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Q: it show that %3D

A: Given z=fx, y and  u=x-y....(1)v=x2-y2...(2) We need to show that  ∂z∂v=∂z∂x+∂z∂y2u

Q: dy 2. Solve the differential equation dx? dy +3- - 10y dx dy = 1 and dx 2 at x = 0 using = 10 when y…

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Q: Points B = (5,9,7) and c = (9,3,7) are on a sphere centered at A = (1,2,3). To two decimal places,…

A: This is a problem of Differential Geometry.

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A: Given that, The desired accumulated amount =$85,000 compound semiannually interest rate=8% Number of…

Q: Given the following vectors, let W Span{v, v2, vs}. v3 (a) ( . Is z in W? Why or why not? (b) ( Find…

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Q: In (x,y,z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and…

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Q: Find a general solution of the linear system below. x" - 9y' - 2x = 0, y"+x' - 2y = 0 ... Solve for…

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Q: 4. y= 3x^4 + 3y - x^2 +7 * O Implicit Function O Explicit Function 5. y= x^4 + 2x^2 - 4 * O Implicit…

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

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Q: 5 terms of the sequence defined ce relation. That is, find a closed

A: Introduction: The value of n should be organised and precise, as in the Simplest form. In the…

Q: Find the solution. (D2 +D- 6)y = 0 A B D

A: Given that D2+D-6y=0 To find its solution.

Q: Q2 Evaluate ex²+y2 dydx where R is the semicircular region bounded by the x- axis and the curve y =…

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Q: (Representing subsets of N as infinite strings) Consider the set B = {f C N x {0, 1}|f : N → {0, 1}…

A: Let us consider an example that how F operators over power set of ℕ i.e Pℕ as…

Q: f(x) 4x² – 3x + 8, ther %3D

A: In this question, the value of fx at x=-2 is to be determined. fx=4x2-3x+8

Q: 1. Find the sum of the first k terms of the following sequences for the given value of k. a. an = 3…

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Q: Let F(n) = EdP|n®p(d). Show that if F(1) n = pi" ..P"n=p, then F(n) = II" 1 P" 1 and that if n > 1…

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Q: 1. Find the sum of the first k terms of the following sequences for the given value of k. a. an = 3…

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Q: what is the answer? y' = e2x + 3y

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Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: 6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R : PV¬Q V R 7. Prove that if n² is…

A: To find- Is the following a valid deduction rule? Explain. P→¬Q¬P→R∴P∨¬Q∨R

Q: Let the matrix A and its reduced row echelon form R be given by the following. 1 -2 1 -3 1 1 1 A =…

A: Given matrix A=1−221−3−31−2−404−147−1 and its reduced row echelon form R=10011010110011−1. a We have…