Obtain a vector orthonormal to the vectors i−j  and (1, 0, 1)

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Q: b) Find the volume of the solid which is in the first octant and bounded between the spheres p = 1 a...

A: To find- Find the volume of the solid which is in the first octant and bounded between the spheres ρ...

Q: 1. In R" where ne N, let B,(x) = {y: |x – yll 0) such that B,(x) C E} Show using the definition of ...

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Q: 'sinx d(sinx + cosx) 0.

A: We have to find the value of given integral.

Q: Question 7 If possible diagonolize the matrix A - ( :) 3 -1 1

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Q: Recall the Vandermonde matrix X given in (3.1.3), and define 1 V,(x) det 1 %3D Xn-1 Xn-1 n-1 1 Show ...

A: As per the question we have to prove the given recurrence relation of the nth order Vandermonde dete...

Q: कर (n-3) (rx-3) (2) 2+1) ( १५2)

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Q: 3. (Future value of an ordinary annuity) What is the future value of each of the following streams o...

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Q: 7. The angle in evaluating the complex number in transcendental function should be expressed in degr...

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Q: -kt Evaluate L{e sin at – 2 k А. ( ' 2(s–a) (s-a) +k² s+a (s+a)° +k²_2(s+a) a C. s-k)-α° 2(s-k) a B.

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

Q: Let f be bounded on [a, b] and let P E P[a. b]. Prove that the lower sum s(P) of f over P is the inf...

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Q: Compare the Fixed-Point Iteration Method with the Newton-Raphson Method. What are the strengths and ...

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Q: if fo=x+1 2g Cx) = X Find:- O Derg 3 D.

A: Given that fx=x+1, gx=x We know that Df=domf denotes the domain of the function f

Q: Question 6 Prove that the determinant function is a similarity invariant on the family of n * n matr...

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Q: 5. L' s+7 s(s – 3s –10)

A: Since you have posted a multiple question according to guildlines I will solve first question(i eQ5)...

Q: The graph of a function f is shown below. Graph Graph Description A Interactive 3D Graph Help 20 10 ...

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Q: . (a) Find the exact surface area that is generated by revolving the portion of the curve y = x² bet...

A: (a) we have given curve  y=x2  between x=2 and x=4 we have to find the exact surface area that is ge...

Q: For every number a e a e {1, 2, 3, ..., 18} which is not a primitive root (modulo 19) find the discr...

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Q: Let I and J be ideals of a ring R: (i) Show that I+J is the smallest ideal containing both I and J. ...

A: The answer is given below

Q: ws the nominal (unadjusted) prices for gold over several years. Complete the table showing gold pric...

A: a) Inflation=232% Constant price in 2020 as, =516+(2.32)(516)=1713.12 b)Inflation=102% Constant pric...

Q: Q.3. Interpolate the expectation of life at the age of 22 from the data given below by applying Newt...

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Q: A diferectial equation is given Classity 1as an ordinary diflerental equation (ODE) or a partial dil...

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Q: What is the general form of a particular solution that should be used when using the method of undet...

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Q: A publisher wants to estimate the mean length of time (in minutes) all ac

A: Given,          7, 7, 10, 8, 6, 9, 9, 9, 11, 6, 7, 6, 9, 7, 9 and               σ =1.5            

Q: i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = d...

A: Since you have posted multipart question and we can answer three subparts. So answered first three s...

Q: For each of the following, determine if the statement is true or false. justify your answer. a) If (...

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Q: Solve the following Inequalities and graph the solution set on a real number line. Please show all w...

A: Solution :-  

Q: Solve the differential equation using Ęatce Laplace transforms- y"-3y'+2y=1-4X+2X Y(0)=4,y10)= 5-

A: Properties of Laplace transform  Ly''=s2Ly(s)-sy(0)-y'(0) Ly'=sLy(s)-y(0) Ltn=n!sn+1 L-11s-a=eat L-...

Q: How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y + z = 0 2y - ...

A: Gauss elimination back substitution method

Q: Problem 10. (a) Show that B = {v1,v2, V3} and B' = {v, v. v}, where %3D Vị = (2 1 1)", v, = (2 -1 1)...

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Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement                                                                   X=x1...

Q: Problem 04: (a) Find the inverse Laplace transform of the following: 1 e-3s -7- -3 e-7s F(s) 10 F(s)...

A: Use the following formulae, to obtain the solution. L-11s=1L-1ss2+a2=cosatL-1e-css=Ht-cLy=YsLy'=sYs-...

Q: Find the tangent line to ƒ (x) = (2 – 4x²)° at: x = 1. %3D

A: The slope of the tangent at a point on the curve, y=f(x) is equal to the first derivative of the fun...

Q: You are tired at the end of the school year and decided to borrow $500 to go on a trip to Florida. Y...

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Q: Evaluate L{e" (r – ť –1)}. 6. 2 А. (s – 2)* (s–2) (s – 2) 4 (s – 2)° 6. 1 (s+2)* (s+2)° (s+2)° 1 2 6...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx

A: It is known that ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: 7. Solve the particular solution using variation of parameters. (D² – 5D+ 4)y = 8e" A. (8/3)xe^x B. ...

A: The given options do not contain the actual solution according to variation of parameters method.The...

Q: 3. (~P+>Q) →(~P→~ Q) -P -PQ -PQ (-PQ}>(-P→~Q). F F

A: The word negation ~ is the inverse of any statement. Calculate the negation of the statements P, Q. ...

Q: 12. y' + (tan x) y = cos 3 subject to IC: y(0) = -1

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Q: 3. (-8, -7) and (-1, -1} 21. (2,-8) and (S, -6) 8. (-6, 3) and (5, 6)

A: As per the company rule, we are not supposed to solve only three subparts of a multipart problem. Th...

Q: (c). y"+5y'+ 6y = 1 – t u3(t) – t2us(t), y(0) = 0, y'(0) = 0

A: The Laplace transformation is an efficient tool in solving the initial value problem. It provides a ...

Q: Direction: If M is the midpoint of PQ, determine the coordinates of Q. M (2, 3) , P (7,1)

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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: 3. Find the volume of the solid generated when the region enclosed by y = v2x + 8, y = x, x = 0 is r...

A: Explanation  we have to find the volume of the solid generated when the region enclosed by y=2x+8, y...

Q: my, Jim, John and Kelly are on the bank of a river and want to cross to the opposite bank in a canoe...

A: Given  Amy ,Jim, Johan and Kelly are on the bank of the river and want to cross the opposite bank in...

Q: 1. example of a simple graph with 2 vertices  2. example of  a simple disconnected graph with 3 ver...

A: providing the answer for first 3 parts if you want the answer of other part please provide the quest...

Q: 3. What is L (s+3)* S-5 4t. A. B. e2 +2e* e"t +2e 4 4t e°t +2e" C. e 37? +2e10r 3t 2 С. е e + 2e10t ...

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Q: (P18, Page 33) (The convergence of Cesaro Averages.) Suppose that the sequence {a„} converges to a. ...

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Q: 1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has cons...

A: When we integrate a vector-valued function over a path, the integral is referred to as the line inte...