x=12²2 ²1x X find the eigenvalues and eigenvectors -Classify the critical point (0.0) as to type

Q: quadratic function f is given. f(x)=x² - 6x + 10 (a) Express fin standard form. f(x)= (b) Find the…

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Q: Find the smallest number n of terms needed to obtain an approximation of the series accurate to 10…

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Q: didnt get the onto part can you explain it more and for the on to one part is it not one to one…

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Q: Which of the functions describe the sinusoidal graph below? 1 f(t) 0 714 f(t) = u(tπ/4) sin(t - π/4)…

A: We have to find out the equation of sinusoidal graph given in equation.

Q: = a Exercise 7.1.23 Let T: C→C be a linear transforma- tion of the real vector space C and assume…

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Q: 8. If D is an integral domain, show that {n · 1: n € Z} is a subdomain contained in the intersection…

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Q: 9. Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular…

A: The farmer with 750 ft of fencing want to close a rectangular field.

Q: Let T be a linear transformation from R2 into R2 such that  T(1, 0) = (1, 1)  and  T(0, 1) = (−1,…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

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Q: g(x)=x²-1' state each of the following. Show all the For the graph of the function steps clearly.…

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Q: In Z12, solve x² - x = 6.

A: The given equation is        x2 - x = 6    => x2 - x - 6 = 0    => (x + 2)(x - 3) = 0

Q: Do as indicated. Show all necessary solutions. Consider this integer programming problem. Maximize =…

A: Maximize z=7x1+5x2 subjected to :  2x1-2x2≤52x1+x2≤8x1, x2≥0 x1 and x2 are integers

Q: ƒ (x) = X (1+6x)²

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Q: = 11. Evaluate ffs (VXF) dS, where F yi + (x-2x³z)j + xy³k and S is the surface of a sphere x² + y²…

A: To compute the integral we use the stokes Theorem:

Q: The hyperbola given by the polar equation below has one focus at the origin and the other at the…

A: The polar equation of the hyperbola is r=46+9sinθ One of the focus is at 0,85

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Q: Find all minors and cofactors of the matrix. -2 13 4 56 1-3 2, (a) Find all minors of the matrix.…

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

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Q: 8. If D is an integral domain, show that {n 1: n € Z} is a subdomain contained in the intersection…

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Q: Can you please solve this for C. Please do it on paper.

A: From the given information:

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Q: Construct a 2×2 matrix and obtain the Hill cipher for a message built using seven distinct letters…

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Q: 2. Consider a function f that consists of the four line segments joining the points (0,0), (2, -3),…

A: (A) the function f can be simply drawn by putting all the points as given below

Q: Find the solutions x*(r, s) and y* (r, s) of the problem max f(x, y, r, s) = max(r²x + 3s²y = x² –…

A: max fx , y , r,s=maxr2x+3s2y-x2-8y2 To Find: x*r , s , y*r , s

Q: 10. Prove that Z[i] = {a+bi: a, b € Z} is an integral domain (¿² = −1).

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Q: Find the center of mass of the solid S bounded by the paraboloid z = 2x² + 2y² and the plane z = 9.…

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Q: 7s - 1 18. (s + 1)(s + 2)(s − 3)

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Q: Evaluate the determinants to determine whether the equation is true or false. - 32 Evaluate the…

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Q: Find a basis for the null space of the matrix. Show All Your Steps. 2) [10-7-2] A = 01 7-2 [00 0 0

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Q: Let Find orthonormal bases of the kernel and image of A. Basis of the kernel: Basis of the image: A…

A: Kkkk

Q: Determine whether the vector field is conservative. 5yi ƏN/ax= ƏM/Əy= F(x,y) = x -

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Q: Evaluate by the residue theorem: da fo z(z−oi), (a>0) [a]

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Q: 11.5. For each part, find an x that solves the given simultaneous congruences. (a) x = 3 (mod 7) and…

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Q: 18. Auction Bids The author is a member of the board of directors of a nonprofit organiza- tion that…

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Q: Find all compositiion series of Z60

A: find the all composition series of Z120 .

Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

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Q: You are to roll a fair 6 sided die 50 times and record what you roll each time. You are then to…

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Q: Find the eigenvalues of A, and find a basis for each eigenspace. A-[#3] 2 -4

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Q: H.W: Applying Taylor's Expansion Method to the following: 5. Y(0.2) Y(0.4) yll = xY and Y(0.6) if…

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Q: Part 1: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.…

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Q: Find the eigenvalues of the given matrix. Show All Your Steps. 17) -24 25 -20 21 2₁]

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Q: Show that the characteristic of an integral domain D is either 0 or a prime p.

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Q: If the half life of a radioactive substance is 14 days and there are 6.6 grams present initially,…

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Q: (a) Find the second degree Taylor polynomial T₂(x) of the function f(x) = x ln (b) Bound the…

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Q: What is the characteristic of the ring Z4 × 4Z

A: The characteristic of the ring R is the least positive integer n such that,             na = 0 ∀ a€R…

Q: Solve the initial value problem for t> -1 with y(0) = 8. g= | dy dt 11(t+1)- 7y= 28t,

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Q: m n 8. Show that Σ (7) (p²+ k) = (m+p). k=0

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Q: A leprechaun places a magic penny under a girf's pillow. The next night there are 2 magic pennies…

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