The number of significant digits to which the number -1.26 approximates the number -1.244 is

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Sol:- A second order linear, homogeneous ODE has the form of   y''+py'+qy=0y'' -6y' +9y=0Here…

Q: To prove that the limit of f(x)=x^2+4x as x approaches 2 is 12, given any ε>0, c that 6-min{4,k).…

A: Epsilon-Delta Definition of Limit : A limit limx→af(x)=L is defined as : If ∀ ε>0 there exists a…

Q: Let S be an oriented surface in R³ with a piecewise smooth closed boundary C whose orientation is…

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Q: 5) now that for all n EN, if A1,A2, ..., A and B are any sets, then n 11 nc₁x) = (N₁) va (A₁\B) B.…

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Q: 2. Let C₁ be the ellipse y² + = 1 traced counterclockwise and C₂ be the paral- 9 4 lelogram with…

A: Here C1 denotes boundary  of ellipse and C2 denotes boundary of parallelogram ,  So C1∪C2 denotes…

Q: Three relations are defined below. Decide whether each of these relations is reflexive, symmetric…

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Q: 1. How much would the equal monthly payments be on a student loan of $10,500 that has a ten-year…

A: You mentioned only 1 and option A to solve, I will solve both of them but if you want I will solve…

Q: Given y(x)=Nex where x goes from 0 to 2.46. The value of "N" required for normalization of y(x) is:…

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Q: Give a proof of the following statement. Suppose A, B and C are sets, f is a surjective function…

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Q: Solve the given differential equation. All solutions should be found. 3 3x² - 9y - y³ 9x + 3xy² dy…

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Q: The agreement for leasing a new car with a purchase price of $21,000.00 includes a down payment of…

A: To own the car, we need to pay the down payment, monthly instalments for 4 year and then last amount…

Q: Question 5 Answer the following. Do the best you can entering in mathematical statements into the…

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Q: Describe the graph of the equation. r = 5 costi - 19 sin rj+k O An ellipse in the planex = 1, center…

A: The graph of the given equation is ; r = 5 cost i - 19 sint j + k We have to choose the correct…

Q: Compare the monthly payment and total payment for the following pair of $180,000 loan options.…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Let f (x, y, z) = g (√x² − 4y² + 2²) √√x² +16y² + 2², - where 9 is some nonnegative function of one…

A: As given, f(x,y,z) = g(x2-4y2+z2) x2+16y2+z2R→(u,v) = 1+4v2cosu, v, 1+4v2sinu

Q: Let C be the curve represented by R(t) = (cos 2t, 2√3t, 5 — sin 2t). Determine the curvature of C at…

A: Let us consider the curve r(t)→ The curvature is obtained as κ=r'(t)→xr''(t)→|r'(t)|

Q: 43. If f is differentiable and is periodic with period T, show that f' is also periodic with period…

A: First we prove that f'(x) is periodic by definition of derivative. Then we give an example to prove…

Q: Show that Y=22.4sin(1.1x) is an eigenfunction of the operator (d²/dx²). What is the eigenvalue? O O…

A: Here we have given that Y=22.4sin1.1x is an eigen function of the operator d2dx2. So, we have,…

Q: is lim x = inf (xn) as x, y. What Express answer and = 3n lim sup (xn) where Xn = [(-1)³ ]+2?

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Q: A firm faces the following total revenue and total cost functions: TR = 150 - 0.20² and TC = 60+…

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Q: 3. For the following quadrics identify the type of the conic section find the coordinates of a focus…

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Q: as a definite integral. Rewrite the Riemann sum n 3 lim n→∞ -tan-¹( n 3i n + π).

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Q: Use reduction to triangular form to evaluate the determinant of the given matrix. 1 A = 3 16 24 0-1…

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Q: Direction: On a piece of paper (or through any gadget or app for writing/drawing), create the truth…

A: Given: Let us consider the given compound statements, 1. ~p⊕q→~r→p∨r↔~q 2. q∨r↔~p∧q⊕~r→~p Let's…

Q: Suppose λ is an eigenvalue of an invertible matrix A. Prove that is an eigenvalue of kA¯¹ for every…

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Q: Use the binomial series formula to find a series representation for g(r) M-T Use a Taylor series…

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Q: The function f is given on the interval [−1, 1] and f is periodic with period 2. if -1 < x < 0 if 0…

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Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

A: It is provided that f(t)=-3t. We need to calculate F(2).

Q: In what follows, round all computations to four decimal places. Applying three iterations of the…

A: Given fx=-2x2+396x-400   To Apply three iterations of the Secant Method taking the initial…

Q: Choose the letter of the correct answer. If (x_n) is a bounded sequence in R then there is a…

A: True,

Q: Consider the system of differential equations: dy dx = 1+y², - dt =x (2-y) dt Find a conserved…

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Q: III. dy y³ dx x²y-xyz

A: Sol:- y' =y3x2y-xy2Substitute y=vx, v is a function of xxv' +v=v21-vRewrite in the form of a first…

Q: Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1, 1) to (1,1,0) and C₂ is the…

A: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is the curve…

Q: 2. Let A be the matrix shown below A = [22] :) Find the matrix P that diagonalizes A.

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Q: V Consider the quadratic form Q(x₁, x2, x3) = 2x² + 2x² + 2x² + 2x1x2 + 2x1x3 + 2x₂x3 a) Determine…

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Q: a) Explain what it means, by definition, that a polynomial m(r) € P(R) is the minimal poly- nomial…

A: Given That : minimal polynomial for a matrix A∈ Mn×n(R) We have to explain  that the polynomial…

Q: b B 490 9 a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

A: Let us consider a triangle ABC right angle at B Sum of angle of triangle is 180° Properties of…

Q: Consider the NxN-dimensional matrices A and B, where B=S¹AS (with S an NXN-dimensional non- singular…

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Q: Solve the given system of diff-equ by using Laplace Transformations // 2₁²" + 10x₁ - 422 // 42₁ +2₂²…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

A: given function ∫1221+x2dx using trapezoidal rule with n=4 let fx=21+x2 h=b-an substitute the values…

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. √(²x- (y - x)…

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Q: Choose the letter of the correct answer. Which of the following letters are true (you can choose…

A: (a) and (e) are not true

Q: 7- y" + 4y = cos x, y (0) = 0, y(n) = 0

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Q: Find the general solution of the differential equation. y (4) - y = 8t + cost.

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Q: 4. Let R³ be equipped with the dot product and let B = {(1, 1, 1), (0,2,0), (2,0,1)). B is a basis…

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Q: At which point maximum value and does foxs the (e.g. instead = 2 sin X- Cos 2x what is the maximum…

A: For absolute maximum or minimum   If  the function is continuous on the given  interval .We need to…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: Find an angle between 0° and 360° that is coterminal with the given angle. 398° is coterminal to…

A: Coterminal are the angles that start and end at the same point. So, to find a coterminal angle add…

Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

A: Given that f:I→R is an monotonic increasing if and only if  f'(x)≥0 for all x∈I The Statement is…