a. f(x) x-2 x-7 b.f(x) = r2+1

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Q: Find the volume of the solid generated by revolving the area bounded by x - y² + 6y - 9 = 0 and x - ...

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Q: A parametrization of all the points satisfying z = x² + y - 4 that are such that -2 <x < 2, –1< y<1 ...

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Q: 3. Consider the following system of linear equations: x+ 2y – z = -1 2.x + 2y + z = 1 3x + 5y – 2z =...

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Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

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Q: Let T : V → W and S : W → V be two linear transformations satisfying T ST = T and ST S = S.   Fix V...

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Q: SIMPLIFY THE FOLLOWING: 1. Determine the absolute value of -2/3 – 2i. 2. Write the complex number z ...

A: (i) It is given that ;              z = -23-2i And we have to find the absolute value of z. If  z = ...

Q: 1 2 2 1 -2 1 . Find the characteristic polynomial A4(t) for the matrix A -3 2 -1

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Q: 6. y" – y – 6y = 0, y(0) = 1 e y'(0) = -1. 7. y" – 2y' + 2y = 0, y(0) = 0 e y'(0) = –1. %3D

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Q: The exponential function N = 500 × 0.74t, where t is measured in years, shows the amount, in grams, ...

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

Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

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Q: Q3

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Q: y' = (1-x²)y , y(1) = 1, h = 0.1 1.0921 1.0986 1.0974 O 1.0935

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Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant b...

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Q: Exercise 1. Let R = {(x, y) | x, y E Z and x + y = 0, } be a relation on Z. Prove or disprove if R i...

A: Let S be a non-empty set and R be a binary relation on S. (a) The relation R is said to be reflexive...

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Q: -2 2 1 -3 6. -1 1 -7 10

A: We have to reduce the following matrix 2-221-360-11-7102 to Row Echelon form and then reduced row ec...

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Q: Consider the function h : Z x Z → Z ×Z defined by h(x, у) — (2ху, 7x — Зу). (a) Is h injective? (b) ...

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Q: Suppose you are cooling a hot extract in a 24°C process room. The temperature of the extract right w...

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Q: Which type of graphs are always (n – 1)-vertex connected? All graphs with n vertices. Cn Kn Ln

A: Graph theory

Q: 2 – 2ay) dy,

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Q: Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} %3! Let f:S → B be define...

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Q: 10. Let f(x)= x' +2 and compute the Riemann sum of f over the interval [0,4] using four subintervals...

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Q: A point in the complex plane with both coordinates rational is called a rational point. The set of r...

A: The set of rational points on the unit circle will be denoted by Cℚ=a+bi ∈ℂ |a, b∈ℝ and a2+b2=1. The...

Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many so...

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Q: by3 | (3b? – x²)(1 – x³V3)/3b² – x² dx - -

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Q: 5. Show that there is no vector field G such that: V x G = 2xi + 3yzj – xz?k.

A: Given that ∇×G→=2xi^+3yzj^−xz2k^. We have to show that there is no vector field G→ such that ∇×G→=2x...

Q: Is the relation R on X is reflexive, symmetric, weakly antisymmetric, antisymmetric, transitive? Jus...

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Q: Solve the differential equation y2dx - 2(y4 - x) dy = 0. If y = 1 when x = 3, determine x when y = 2...

A: We are given the differential equation as y2dx-2y4-xdy=0, y(3)=1. Here, M=y2 and N=-2y4-x. Now,     ...

Q: Prove that for each n E N, (d) (n) e (d) dn

A: To prove, for each n∈ℕ, nφn=∑d|nμ2dφd. We know that the mobius function μn is defined as: μn=1if n=1...

Q: Question 7 Find the volume of the solid generated by revolving the area bounded by x – y? + 6y – 9 =...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Prove a Function is Onto Use the definition of onto to prove that the given function is onto. Let f:...

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Q: by3 | (3b? – x²)(1 - x³V3)/3b² – x² dx

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Question 15 Flag question Using Pappus theorem, find the volume formed by revolving about the x- axi...

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Q: A police car is located 50 feet to the side of a straight road. A red car is driving along the road ...

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Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had...

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Q: Given f(x)= -x +2x* -3x + x? -4x + 5. Use Horner's algorithm to compute a. f(-2) b. f(x)/(x+2) C. Ho...

A: (a) We have f(x) = -x6+2x5-3x3+x2-4x+5, and we can rearrange this as f(x) = 5-4x+x2-3x3+2x5-x6

Q: The following graph is k-edge connected. What is the value of k?

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Q: For the demand function q= D(p)3D 288 - p, find the following. a) The elasticity b) The elasticity a...

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Q: 6. Solve the following recurrence relation together with the initial conditions given: An = 4an-1 - ...

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Q: 1. Let a force F be given by F = Fo(i+4j+ 8k) where Fo is a constant. Determine the scalar component...

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Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

A: See below for the solution.