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Q: Given the vector field F=rcoso ar+sine 00 +rap" determine the vector at (2, m/2, 1/4) that is…

A: given vector F→=r2cosϕ ar+1rsinθ aθ+r aϕ  determine vector at 2,π2 , π4 that is perpendicular to F→…

Q: If the period T is note equal to 2n but T=2L then f(x) = a₁ + an nπ nn Σαπ Σ(a, cosx + b, sin x) n=1…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given: S=2, -1, 3, 5, 0, 4 And the vectors: a z=5, -5, 11b v=13, -14, 434c w=3, -9, 15d u=1, 1, -1…

Q: T a(x¹ B) ax

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Q: Let C be a smooth curve in R³, let S be a smooth surface in R³. Assume that f(x, y, z) is a scalar-…

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Q: Use the branch and bound method to solve the following IP: max z = x₁ + 2x₂ s.t. x₁ + x₂ = 10 2x₁ +…

A: use the branch and bound method to solve the following IP max z=x1+2x2s.tx1+x2≤102x1+5x2≤30x1 ,…

Q: 3. This question concerns the L metric d and the L¹ metric e on C[0, 1] (Examples 1.1 i)). a)…

A: It is given that,  L∞ denotes the metric d and L1 denotes the metric e on C0, 1. (a) Calculate d(f,…

Q: Solve for the power series solution of the given differential equation. 1)y" + (x + 1)y' - y = 0 (x²

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Q: Let h be a prime number and let k be some integer. What are the possible values of ged(h+k, h-k)?

A: We have given that ,  h be any prime number and k be some integer. We need to find possible values…

Q: Find lim (sinx-lnx) +0+z

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Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

A: Subspace :- If S is a non-empty subset of vector space V, and satisfying following conditions: (1) x…

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

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

Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: Let f(x, y, z) = g(√√√x² − 4y² + z²) √√x² + 16y² + z², 9 (v where g is some nonnegative function of…

A: Mass of the lamina=density X area

Q: Let f(x, y, z) = 9 (√√x² - -4y² +22 x² + 16y² + 2², where g is some nonnegative function of one…

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Q: A scientist satisfies the equation: (a) (b) (c) Q(t) of a substance present at ti 40"(t) + 4Q'(t) +…

A: The amount of a substance present at time t≥0 satisfies 4Q''(t)+4Q'(t)+Q(t)=0

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: We will find left Riemann sum and right Riemann sum  with 5 interval .

Q: 2πη? + eπ (b) Find the limit of the sequence {² converges. Otherwise, state that the sequence…

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Q: 35. Two numbers are as 3:4, and if 7 be subtracted from each, the remainder is 2:3. Find the smaller…

A: Solution :-

Q: Decide which of the rational functions might have the given graph. O R(x) = OR(X)= O R(x) = O 2 -1…

A: Since in the given graph there are vertical asymptotes at x=-3 and x=2 ,so the denominator must…

Q: 10. The ratio of two numbers is 7:4. If 8 is subtracted from the larger and 3 from the smaller, the…

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Q: (c) Find the limit of the sequence {In(5n³ − n + 1) − ln(7n³ − n +1)} if it converges. Otherwise,…

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Q: Axis of Rotation (3d) The following matrix is the matrix of rotation. Find the axis of rotation.…

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Q: 10 8 -20 -18 -5 6 -9 -11 11 11 4 -5 -10 7 -9 1

A: Given A=-10-8-20-1814-56-7-9-9-111717111114-5-10   To Use: The Gram-Schmidt process to produce an…

Q: Let B={V₁ =,2 =, V3 =}. Use determinant to determine whether B is linearly independent or linearly…

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Q: For this question, please consider the nonlinear partial differential equation ux3 + uy3 = u2.…

A: Given : ux3+uy3=u2 To Find : (i)complete solution                (ii) ux ,0 =x+1327

Q: Show that the graph is 2-colorable by finding a 2-coloring. If the graph is not 2-colorable, explain…

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Q: (d) (e) Determine the range f(A) where A = (a, 0] for some fixed a < 0,a # Determine the supremum…

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Q: Find the first derivative of y = /2x . b. ht a. 2√2x C. 2 2x d. ے اپنا .. √2

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Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

A: It is a 3D and we have to draw in a sheet which is 2D. I is a tough task but I will try to draw it…

Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

Q: A camera shop stocks eight different types of batteries, one of which is type A76. And the camera…

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Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: Let pn be the Taylor polynomial of degree n for f(x) = log(1-x) about a = 0. How large should n be…

A: Given, pn be the Taylor polynomial of degree n for  fx=log1-x about a=0.

Q: Consider the vector function r(t) that has unit tangent vector 1 T(t) VI+$₁² (1,1,21), 0 ≤ t ≤ 2.…

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

Q: Let A ∈ Mn (R) be given. Each of the following statements is equivalent to two of the other three…

A: Let A ∈ Mn (R) be given. Then which of the three statement are equivalent  a) the nullity of A is…

Q: 5. In unit 2 assessment Problem 9, you investigated the populations of three age groups of an animal…

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Q: Numerical Methods. Using h = 0.1, approximate the value of y when x = 1.5 for the given differential…

A: It is provided that dydx=e-y-1yex and y(0)=2. We need to calculate the value of y for x=1.5 using…

Q: 3. Solve xy" + y = 0 given that y(1) = 1, y(2) = 2 taking h = 0.25 using finite difference method.

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Q: Find the matrix product ABC by grouping the factors as (AB)C and grouping the factors as A(BC). Show…

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Q: Question 4: C 5²-4 a. e2s + (5²+4)² 45 b. e2s+. (s²+4)2 45 c. e-2s + (s²+4)² d. None of the above…

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Q: Cosine of Angle of Rotation (3d) The following matrix is the matrix of rotation. Find the cosine of…

A: Consider the given rotation matrix, Q=-23-13-2323-23-13-13-2323 Here we need to determine cosine of…

Q: The lateral surface area, S, of a cone is given by: S = πr√r²+h² where r is the radius of the base…

A: It is provided that the area: S=πrr2+h2. We need to use the fixed-point method to calculate r when…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A: To solve this problem, we have to first establish a relation between the distance travelled by the…

Q: 32. Find the area bounded by the parabolas y^2 = 4 -x and y^2 = 4 - 4x.

A: Solution:

Q: State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n + 1 3n…

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Q: Use sigma notation to write the sum. 2-4+8-16 + 32-64 Σ i = 1

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Q: 7. What is AQ such RC, AP and BQ are concurrent (see figu below). 8 a. C. 15 15 b. 7 15 d. 7 e. none…

A: According to the theorem of Ceva , P, Q and R are the points on the triangle, then RC , AP and BQ…

Q: 3. Express the limit as integral: n lim Σcos (27xt Ar 2(2πχ* ) over [0,1]

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Q: 5. Consider the following function: f(x) = xe - 1. (a) () Find solution of f(x) = 0 up to 5…

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