How large should the value of (n) such that the Taylor polynomial of order (n) about 100 gives an approximate value for sqrt(101) with an error less than 10-10 in absolute value.

Q: Prove that a1 + a2 = b₁ + b₂ mod n.

A: We have to prove that a1+a2=b1+b2 (mod n).Given:a1≡b1 (mod n)a2≡b2 (mod n)This means there exist…

Q: Solve for the variable P to two decimal places. 75,000-Pe 0.065(8) P= (Round to two decimal places…

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Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

A: The objective of this question is to find a basis for and the dimension of the solution space of the…

Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS

A: Equation of f(−x)=−3x+1.Explanation:Approach to solving the question:  Detailed explanation:

Q: What does it mean for a relation from A to B to be a function? Explain why g(x) = function from R to…

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Q: Please answer the question in the image with all the steps.

A: Answer is given below:  Explanation:Question 1:Answer: A)To determine whether a simple graph exists…

Q: Prove that if k² + 3 is prime for some k Є Z, then k is even.

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Q: IS: Tick all correct answers. The system 54 ☐ Stable, bnot asymptotically stable. BIBO stable.…

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Q: refer  to  image  below.

A: A non-trivial solution is 3,−3,1. That is, 0=3u+(−3)v+1w.Explanation:Steps and explanations are as…

Q: Match the statements that best fit the formula - P(1 + rt) a. The future value of an annuity with…

A: see the explanation belowExplanation:Matching the statements with the formulas:a. The future value…

Q: Problem 1. (1)Compute the determinant of the following matrix: 5-7 0 3 0 -2 200 400 0 600 5-80-300…

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Q: Show the general solution of the system of equation as a Real Valued Function, x= (3)x x=(s. -3

A: FINAL ANSWER I have obtained the answers in the below steps.The general solution…

Q: Assume that for every positive integer i, A₁ = (-i, i), that is the set of real numbers x with -i <…

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Q: Use the convolution theorem to determine the inverse Laplace transform of the function. F(s) =e3s.…

A: The function is :The aim is to determine the inverse Laplace transform of the function.

Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse + 9 + 49…

A: We have to find the maximum area of reactanlgle .

Q: -Given the parametric equations of the plane, obtain the general equation of the plane X=7-16t+5…

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Q: A 10ft tall cylindrical tank has a radius 3ft and the tank is full of water. How much work is done…

A: The height of the tank is  and the radius is We have to find the work done to empty the top  of the…

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of the question is to find the real root of the equation x * log10(x) - 1.2 = 0 using…

Q: Determine all solutions to the first-order linear system x₁ = -x1 + x2 x2 = -2x1-3x2+x3 == x3 = x1 +…

A: Given Information:The system of differential equation is given as:To find:Solution to the system of…

Q: Solve the homogenious differential equation Cy²+4y+4y=0; ylo)=1, y'(0) = 3 2 2 ⑤[ +² D² + 5 + D…

A: The homogeneous  differential equation is:The aim is to solve the homogeneous differential equation.

Q: Prove by induction that if n is a positive integer, then 7^2n − 13^n is divisible by 3

A: A proof method for proving a statement is mathematical induction, which is applied to all natural…

Q: An automotive dealer borrowed $ 8700.00 from the Bank of Montreal on a demand note on May 5.…

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Q: Square PQRS has side length 1. Points A, B, C, and D are on PQ, QR, RS, and SP, respectively, with…

A: First, let's understand the problem. We have a square PQRS with side length 1. Points A, B, C, and D…

Q: Consider the system of equations x-4y = -5 -3x+5y = 1 (a) Write down the tabular form of this system…

A: Given the system of equations(a)The tabluar form is the essentially the matrix form of the system of…

Q: Need ass

A: Let's tackle each part of your question step by step.(a) **Cost Function**: The cost function…

Q: -Calculate the equation of the general plane that has a normal vector n and passes through the point…

A: We have given plane properties as shown in the figure below:To find the equation of a plane given…

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A: vector q is not in the span of vectors.  p1,p2and p3. complete explanation is given…

Q: Show that (N,|) is a poset.

A: Let A be a set and a relation ≤ be defined on A. Then (A,≤) is called poset if it satisfies the…

Q: A system of linear equations was reduced to the form below. Continue to use Gauss-Jordan elimination…

A: LetA system of linear equations was reduced to the form above. We have to continue to use…

Q: 1. For each nЄ Z+ let fn: RR be the function nx f(x) = nx+1 (a) Prove that (fn) converges pointwise…

A: The sequence of functions (fn​​(x)) converges pointwise to the constant function f(x)=1 on R, but it…

Q: Verify Stoke's theorem on surface given in the figure for the following function. Frsinde,+r² e = 1…

A: Given that a equation of surface as: We need to verify stokes theorem for this function. Note: The…

Q: Use variation of parameters to solve the given nonhomogeneous system. x(t) = csc(t) sec(t)

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Q: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: So - i)y''-9y'+14y=0 ii) y''-10y'+25y=0iv)y'''+3y''-45y'+81y=0forms fundamental set of…

Q: Can you use the information provided to answer question 2 please.

A: summery nahi likya direct answer likhaExplanation:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Given the following multivariable function, determine its…

A: Given function is Now differentiating partially with respect to x and y ,we get Now for critical…

Q: {0}] ER3 such that x+y+z = 0 •} 2. (Your instructor forgot to do this example in class). Let W = (a)…

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Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

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Q: Find the general solution of the system of equation x=(4-2)x

A: General solution is given by: Xc​=C1​[1−4​]e−3t+C2​[11​]e2tExplanation:Step 1: Given system:…

Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx (1 - k)x + (1k)y = 1 ky =…

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Q: The [Select] (expressed as a decimal) is t In(2) t for continuous compounded growth at r% interest r

A: We have to answer the given fill in tha blank.

Q: Exercise 2.- Calculate the area between the curves and make the corresponding graph: f(x) = x²+3x+3…

A: Given the functions:We want to find the area between the curves and between the limits and .See…

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: y" - 4y" - 5y = 0 d²y dy +8+16y=0 dx² dx

A: The given differential equation is    the auxiliary equation is the general solution of the…

Q: Find f by solving the initial-value problem. f(x) = 9 f'(x) = ㄨˊ f(9) = 58

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Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

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Q: Let T: R5 R³ be the linear transformation given by x1 x2 3x19x25x3 — 7x4 9x5 T x3 = x4 2x16x23x3 -…

A: The solution is posted below. Please go through it.Thank you Explanation:Step 1: Step 2: Step 3:…

Q: Suppose the mean and standard deviation of the GPAs at Loyola are Xbar = 1.675; and s =…

A: The objective of this question is to find Catherine's GPA given her z-score, the mean GPA, and the…

Q: Prove that every amount of postage n ≥ 24 cents can be made from a combination of 4-cent and 9-cent…

A: To prove that every amount of postage n≥24 cents can be formed using a combination of 4-cent and…

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

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Q: 11. Evaluate 2z215 +30 dz, z3 10z2+322 32 - where is the circle |z| = 3. Hint: Use partial…

A: The given problem is to evaluate the given complex integral over the given counter path of circle…