Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

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Q: What is the chromatic number of a full m-ary tree of height h? Select one: O a. 2 O b. 1 C. h O d. m…

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Q: Question 1 1 -2 -1 1 2 -1 Let A= and assume that 1 2 -1 -2 0 -1 100 0 1 1 -1 0 0 0 0 0 0 -2 1 1 -1 B…

A: Given that                    A=1-21-1012-1012-10-1-21 To find: the basis of null space of A.

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Q: Show that the first graph below can be contracted to the second graph.

A: The graph given is as follows: We are asked to show that the above graph can be contracted to the…

Q: Let f, g:R R defined by if x 1 (x2 and g(x) = 3x + 2. %3D Find f-1 and g-1.

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Q: Determine the difference approximation of the problem (1+x²)-y = x² + 1, y(-1) = y(1) = 1 Find the…

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Q: Consider the permutation (1 2 3 4 5 6 \3 4 5 6 1 2 7)* 1. Express as a product of disjoint cycles.…

A: Given Permutation: 12345673456127

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Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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Q: 3) Using the Power method, obtain the largest eigenvalue and the corresponding eigenvector for the…

A: We will use the basic knowledge of the power method and perform two iterations only, as specified in…

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Q: Three numbers a, b, c are such that a< b< c. The median is 12, the range is 12 and the mean is 14.…

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Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

A: Here we use divergence theorem

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

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Q: A person purchased a new car for $26,200 and finencad the entire amount Suppose that the person can…

A: We will form a differential equation for money owed  on the  car loan and then solve it to get exact…

Q: Which of the following best describes the graph shown below? B 1. It is Eulerian. II. It is…

A: Introduction: Euler Graph: If there is a closed trail which includes every edge of graph G such that…

Q: luate the triple integral /// V² + y² + z² dV over the spherical shell E 9.

A: Integration using spherical coordinates

Q: Consider the following system: 51 X11 21 lx2. -11 -8 2 Parts (A & B) PART (A) - Determine the…

A: For the solution of the problem follow the next steps.

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

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Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values…

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Q: Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 -1 -2 1 1 100 -2 1 1 -1 1 1 -1 В - is row…

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Q: Valid or Invalid? Use truth table.

A: Introduction: A tautology is a compound assertion that holds true regardless of the separate…

Q: Let f, g: R → R defined by if x 1 f(x) = %3D and g(x) = 3x + 2. %3D fog and go f.

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Q: Two cards are drawn without replacement from an ordinary deck. Find the probability that the second…

A: Introduction: The conditional probability formula is most closely connected to Bayes' theorem, which…

Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

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Q: Show that yrcos(x²) is asoktion to: xy"-y'+4x3y =0, and then use reduction of order to fond a second…

A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

Q: Reduce to the form x + yi : 2 logsinh (-i+2) 40ežmi

A: We have to reduce following expression to the form x+yi :          logsinh-i+240e23πi Pre-requisite…

Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

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Q: Perform as indicated. a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the…

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Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

A: The given volume of the tank is 100 L. Let v=1+cos2t and cs=0.21+cos2t. The initial time is 0 min…

Q: Use Gauss's Theorem to find the surface integral OF •dS across the positively-oriented S sphere of…

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Q: Find the minimum and maximum values of z = 10x + 9y, if possible, for the following set of…

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Q: 2. Consider the trees with 7 vertices which have exactly 4 leaves. (a) Find a representative of each…

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Q: r(t) ti+ 8 sin(t)j + 8 cos(t)k u(t) + 8 sin(t)j + 8 cos(t)k (a) r'(t) = (b) r"(t) = (c) D[r(t) ·…

A: Note: We are allowed to solve three subparts at a time so upload remaining parts as next question.

Q: What order of the taylor series expansion should be solve, to evaluate the exact value of:

A: This is the problem of counting and series expansion.

Q: Find r'(t), r(t,), and r'(t,) for the given value of to- r(t) = (5 + t)i + t°j, to = 1 r'(t) = r(t,)…

A: To find r'(t) and to sketch the curve represented by a vector-valued function and sketch the…

Q: Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart…

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Q: Let's assume that we have the following system of linear equations Ax = b where 3 2 A = 7 -2 -3 2 8.…

A: Given: System of linear equation is given as, Ax=b A=53237-2-328 b=563 The fixed point form of this…

Q: Use the Newton-Raphson formula once to find an improved estimate of a solution to the equation 2x -…

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Q: We then introduce a distance function p which is given in terms of the integral norm || · |li as…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Question 1 1 -2 1 2 -1 2 -1 0 -1 -2 1 Let A = and assume that 1 1 10 0 0 1 1-1 0 0 0 0 0 0 1 00 1 -1…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: TAYLOR SERIES Approximate f(7) of the function f(x) = sin(x) centered at 0, accurate to 3…

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Q: 10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x +…

A: Given differential equation is D2 -D-2 y = 6x +6e-x  This is non homogeneous differential equation.…

Q: Q1. Decide which of the following functions are linear transformation? (i). T : R² → R² defined as,…

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Q: 土

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Q: Using Excel, get the roots of the follo equations through Bisection Method 1 f(r) = r2 –r - 2

A: The given equation is f(x)=x2-x-2 find f(0) f(0)=02-0-2=-2 find f(1) f(1)=12-1-2=1-1-2=-2 find f(2)…