To solve the following system of equations, write a script to compute and simplify its real roots and display them in the command window. (x² + y² = a₁ x - y = b.

Q: You are an office manager. You need to purchase new filing cabinets. You know that Abe Cabinets cost…

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Q: Determine the equation of the tangent plane and a vector equation of the normal line to A. tangent…

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Q: Consider the equation: y = 5 cos(5x + 3) + 2 Give all answers in exact form, NO DECIMALS. π 0. Graph…

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Q: Let E be the solid region in the second octant that lies above z = 1-√√1-x² - y² and below z = 2-x²…

A: As per the question, we are given a solid region E in the second octant that lies between two…

Q: Please explain, in detail, how to calculate the error incurred when using the left sum, right sum,…

A: Error in Reimann Sum: Left sum: EL≤M1(b-a)2n Right sum: ER≤M1(b-a)2n Trapezoidal sum:…

Q: 4. Suppose you have borrowed an amount of money today. It will be repaid with $1000 in one year,…

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Q: Dolores start Marianne The red vertical line represents the path Dolores walked. How far did Dolores…

A: Here the small squares in the grid have side length of one yard and areas of 1 square yard. The red…

Q: Q3 Not submitted Section 4.1 # 14 Show that if a, b, and e are integers with e > 0 such that a = b…

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Q: Find the eigenvalues and eigenvectors for A = The eigenvalue a + bi = The eigenvalue a - bi = [5-14]…

A: The characteristic equation of A is…

Q: Find bases for the column space, the row space, and the null space of the matrix 1 A = 2 3 -1 1 8 1…

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Q: The initial population of pigs in a farm is 125. Given that the growth rate per year is 7.5%,…

A: Given that The initial population of pigs in a farm is 125. P0 = 125 the growth rate per year r =…

Q: Suppose |||| = a, so that the tip of r is on a sphere of radius a with center at O. (a) Show that r…

A: Introduction: An orthogonal unit vector is a vector that is perpendicular to another vector and has…

Q: For the given matrix game, if it is strictly determined, answer parts A through C. If it is not…

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Q: Consider the second order differential equation with initial conditions u" 2.5u' + 6.5u = = -7.5…

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Q: When graphing the polar equation r =3 cos(20) as Ø approaches from 0, the radius changes from ◆ to

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Q: Write a "DELTA - EPSILON" proof (that explicitly uses the definition of limit) to PROVE: lim (2x -…

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Q: Calculate the derivative of the function. f(x) = (5-x)-¹ = -5 X

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Q: Find the partial derivatives w = 6exy log(x2 + y2) Əw Әх aw ду Əw aw Әх' ду

A: Given w=6exylog(x2+y2)⇒∂w∂x=6y.exylog(x2+y2)+exy.2xx2+y2and ∂w∂y=6x.exylog(x2+y2)+exy.2yx2+y2

Q: Suppose you have sets A and B with |A| = 10 and |B| = 15. (a) What is the largest possible value for…

A: We are given the information that A and B are sets such that        |A| = 10 and |B| = 15   (a) We…

Q: Find n ∈ {1, 2, 3, . . . , 28} that satisfies 26! ≡ n (mod 29).

A: Given ,              26! ≡ n mod(29)  Then we have to find the  value of n∈  1 , 2 , 3 , .........,…

Q: 8 Consider the series 4e ". Sk= n=0 a. Find the general formula for the sum of the first k terms.…

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Q: Jelena's net worth w(t) in thousands of dollars as a function of time t in years over the l 30 years…

A: Given: J's net worth, wt (in thousands of dollars) over the last 30 years is given by the function:…

Q: - Does En-o(-1)" 3+4 conditionally converge? Explain your reasoning.

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Q: Which one is Proj b=2i-j? b (projection of b onto (b-a)) when a = 3i- 4j and (b-a)

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Q: Roughly how many seconds did it take the car to reach the

A: Assume that speed constant from t=0 to t=0.001 t=0.001 to t=0.002 t=0.002 to t=0.003

Q: Show that the two drawings represent the same graph by labeling the vertices and edges of the…

A: The given graphs are: We need to show that these two graphs are same. We know that two graphs are…

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: (a) Given A= '11 2 4 -8 -3 -8 -1 6 Using Elementary Row Operations find the rank of A.

A: Since you have posted multiple question, we will solve first question for you. If you want any…

Q: A- Evaluate the following limits: sin6x i. lim x-0 sin8x

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Y = A. Write a fundamental matrix for the associated homogeneous system In this problem you will…

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Q: Exercise 6.3.8: Compute L-1 S { (5²$ 4² } using convolution. 2+4)

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Q: Calculate the derivative of the function. f'(x) = f(x) = (6.4x8)-2 + (4.3x - 5)-² 2

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Q: If cxb = -i+5j- 3k and a = 2i - 4j+ 6k, then which one is a. (bxc)? O -40 O-33 O 33 O 40

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Q: extrema: Find three smallest positive x where the following integral has local x³ +1 I(x) =…

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Q: Find the point on the hyperbola x²-9y² 9 where the line 5x + 12y = 9 touches it.

A: Solving                  5x+12y=9  or            y=9-5x12   and   x2-9y2=9  We have…

Q: Anthony Altino is mixing food for his young daughter and would like the meal to supply 1 gram of…

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Q: solve the ff. using elimination Numerical Methods 3x-2y+2=5 x+y-2z=7 2x-y-3z=-z

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Q: 3. A metric space is said to be separable is it contains a countable, dense subset. Are the real…

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Q: In the vector space R4, show the subset W is a subspace. a = -{B} a W where a, b are real numbers

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Q: Let f(x, y) = x²e²² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the…

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Q: Use the limit comparison test to determine whether Σ an = n=11 n=11 lim a. Choose a seriesbn, with…

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Q: The figure shows a surface z = 7 cos(x) cos(y) and a rectangle R in the xy-plane. TT/4 R π/4 z = 7…

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Q: Find the minimum and maximum values of z= 6x + 2y, if possible, for the following set of…

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Q: If then A-¹ = A = '501 10 -14 1 -1 2 -3 9

A: Here, we have to given matrix A. We have to find inverse of A. And then for a given vector b we have…

Q: Suppose that you are in the garden supply business. Naturally, one of the things that you sell is…

A: Given that v=266163, p=51111, b=51314. We need to find the linear transformation T:ℝ3→ℝ3 that takes…

Q: Show that the equation cosx + x²³²-3 has a real root

A: Given: Equation: cos x+x3-3=e-xTo show: Given equation has a real root.

Q: (a) The matrix M is given by M = 2 (1) (11) (111) (iv) (v) 00 1 -1 0/ Evaluate M-¹ (using elementary…

A: We can show that the given expression of (iv).

Q: The following statements are about the chromatic number x(G) and the chromatic index x'(G) of…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Ans :- MINF  I have done solution with use of ratio test with detailed explanations and concepts