Cartesian equation

Q: Suppose that b and c are integers where 9b = 12c. Then 9|c and 12|b.

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Q: Complete parts (a) through (c) for the following function. Use the fact that lim x In x = 0. x-0…

A: Given: A function fx=10xlnx To Find:  a) Interval where the function is increasing or decreasing and…

Q: Given vectors and v below, find a such that u and v are orthogonal. u= [-6,-3] v = [a, 10] a = Ex: 5

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Q: SECTION B Question One a) Describe the limitations of linear programming technique. b) Use simplex…

A: (a) To Write: Limitations of linear programming technique. (b) To Solve: the following problem using…

Q: 4. Determine which values of t E R result in span ((0, 1, -1), (1, 2, 1), (t, -1, 4)) being (i) a…

A: {(0, 1, -1), (1, 2, 1)} is a linearly independent set. (When there are only two vectors, it's…

Q: sin x 4- cos²x d.x

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Q: 14) The roots of 3x² +kx+12=0 are equal.Find K. 15) Find a if x²-5x+a-0 has equal roots.

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Q: Suppose that c and d are integers where 12c = 25d. Then 12|d and 25|c.

A: We have to check whether given statement is true or false?

Q: 2. Let H be the set of all vectors of the form claim. 2t 0. Is H a subspace of R³? Show your

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Q: Exercise 4.3 Find all the vectors of R3 which have the same coordinates in the canonical basis and…

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Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + y² - 4xy + 9, D =…

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Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 3 -2 6-5 and b = 4 7 0, -[C].…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

Q: Find a basis of the image of the matrix below. A = 1 1 1 125 137

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Q: Determine whether the system is consistent. 1) x1 - x2 + 3x3 = -11 -4x1 + 4x2 - 12x3 = -2 x1 + 3x2 +…

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Q: Compute the determinant of the matrix by cofactor expansion. 35 513 21

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Q: Exercise 2. Fun geometric example. Let AC R² be A = ({x² + y² 0}) U {(±2, 0), (0, 1), (+2√2, 2√2)}.…

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Q: ind a particular solution to the differential equation -22²-11-11+5² 2y3y + ly=-2t² + 1t+le².

A: Given differential equation is ,         2y''-3y'+1y= -2t2+1t+1e2t (.)    1f(D)ea t= 1f(a)ea t  ;…

Q: write an equivalent first-order differential equation and initial condition for y.

A: An equivalent first-order differential equation and initial condition for y. y=ln x+∫xet2+(y(t))2 dt

Q: Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain and then use the chain rule for…

A: The given problem is to find the small changes to estimate the change in the function f(x,y) that…

Q: Show that for any λ E F and any positive integers 1 ≤ d <≤m, there exists a linear operator T: V → V…

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Q: Units: Let R be a ring with unity and a, b ∈R. Define Z(R) = {z ∈R : z is a zero divisor } and U(R)…

A: Let R be a ring with unity and a, b ∈R. Define Z(R) = {z ∈R : z is a zero divisor }and U(R) = {u ∈R…

Q: 3. A particle moves along the x-axis. At time t seconds, its acceleration is given by a = 4t + 67/2,…

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Q: 1. Consider the following payoff matrix: b) Player 1 Strategy B Strategy A Player 2 Strategy A…

A: The payoff matrix for a two player game with two strategies is given as follows     player 2…

Q: A (not necessary circular) helix is a curve a which makes a constant angle with a fixed direction.…

A: Introduction: In mathematics, a helix is a type of curve in three-dimensional space characterised by…

Q: Find the particular solution of the given D.E. (y²-2xy + 6x) dx + (2xy - x²-2) dy. =0 when X=-2 and…

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Q: ercise 3 Determine all possible values of a € R such that the function f(x) = e* -ax³ Convex on 1]…

A: Convex function

Q: dyxy + 2y - x - 2 xy − 3y + x − - 3 dx xy

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Q: For all integers a, b, and c, if a|b and a|c, then a|(5b – 7c). -

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Q: 2. (a) Find the distance between (-5, 7) and (2, -3). (b) Find the midpoint of the segment whose…

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Q: 36-37 Plot the space curve and its curvature function K(1). Comment on how the curvature reflects…

A: As per the answering guidelines, We are to answer only the first question. Thank you. First step is…

Q: Solve the problem. [:] Determine if the set {V₁, V₂, V3} is linearly independent. Let V₁ = [3]. V2 =…

A: The given vectors are v1=1-36, v2=-38-4, v3=2-2-2. We have to determine whether the set v1, v2, v3…

Q: 2. Jamie is planning to replace the flooring in her house. She plans to install laminate wood…

A: Given that table: 1m=3.28ft1m2=10.76ft2. To find: Calculate the floor areas of her room and…

Q: Solve the system by using the inverse of the coefficient matrix. -3x1 + 9x2 = 9 3x1 + 2x₂ = 13

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Q: Find the amount if $300 is invested at 12% compounded monthly after a period of years: a. b. C. d.…

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Q: Exercise 5.17 Let H be an n x n orthogonal matrix and y: M(n x n, R)→ M(n x n, R) defined by y(A) =…

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Q: Solve the difference equation: 3 (²7) y[n+ 2] - n> 0 y[0] = 10 and Y y[n + 1] + y[1] = 4 n (1) ₁…

A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

Q: In 1980 the population of alligators in a particular region was estimated to be 1500. In 2008 the…

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Q: Given: g(x) = +tan-¹ [1 − x] +3ª if 0 < x < 2 3x² + 4 3x - x² ex X if x < 0 if x ≥ 2. 3. Redefine g…

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Q: Exercise 4.9 Consider the matrices Aa, for varying a € R: -1-2a) -1 a +1 1-a 0 1 α 1+ a a) Find the…

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Q: For the matrix, list the eigenvalues, repeated according to the multiplicities.

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Q: Exercise 5.5 Given the subspace U = ((1, 0, 1), (1, 1, 1)), detemine the vectors w€ (0, 1, 2) + ((3,…

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Q: Let p be the statement "There is no pollution in New Jersey." The statement "The whole world is…

A: Let p be the statement "There is no pollution in New Jersey." The statement "The whole world is…

Q: Find the matrix product AB. 30 [:]. A = 13-1 = 134], B =

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Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: [3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ? d² dx² d² [4] Find the…

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Q: 2. Propose an iterated integral that you could use to compute the volume under the graph of z= 42² +…

A: Let us denote the region on the xy plane bounded by x=y2-2 and x-2y=1 by R and it is shown in the…

Q: Maria Wanted To Try And Figure Out How Many Chairs Could Fit Around Her Circular Kitchen Table. To…

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Q: Find the absolute extreme values taken on by f on the set D. -2y x² + y² + 1 D = {(x,y): x² + y² ≤…

A: Given: Function is fx , y=-2yx2+y2+1. To Find: Absolute max and min.

Q: Compute the determinant of the matrix by cofactor expansion. 2 14 14) 4 1 4 251 *Please show all of…

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