Find a representation of the vector AB= (11, -15) in R2 by giving appropriate values for the points A and B such that neither A nor B is the origin. A = B = help (points) help (points)

Q: Find the median for the following group of data items. 35, 32, 31, 30, 36, 33, 29, 31 The median is…

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Q: 4. Prove by induction that 3" ≥ 2" +n for all n ≥ 1.

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Q: 3 choices, select all that apply Suppose that A is an m x n matrix. Which of the following are true?…

A: Let A  be a m×n matrix, To determine: which of the given options are correct.

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = e F(x, y, z) = 8x+6y+9z

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Q: 1. (a) Use Fermat's Little Theorem to calculate: (i) 123578946 (mod 47) (ii) 58¹17 (mod 59) (iii) 56…

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Q: a 24 r(²7) r(5)r(7.25) b. Set t'dt C. dx √-In(x) SOJ . Evaluate using Gamma Function:

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Q: Make an educated guess as to the limit of the complex sequence zn = in / (2n + 6). Working directly…

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Q: Apply the optimization process of the following assignment model. Make the assignment schedule.…

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Q: Determine g(1.3)  for the following function: g(x)=2[x]+5 .

A: Here the given function is g(x) = 2x+5

Q: 2. (a) The function f is defined by f(x) = (9 + x)¹/². By evaluating ƒ(0), ƒ'(0), and ƒ"(x), write…

A: The given function is, f(x)=(9+x)1/2. (a) To Find: The Taylor's polynomial of degree 1 which is…

Q: PLS DO ON COMPUTER OR TYPE IT SO I CAN READ IT   1) You are to create a real life example of a…

A: An equation is said to be a linear equation if the highest power of the variable is always 1. The…

Q: Let A, be the area bounded by the curve y = (tan x)" and the 1 Prove that for n>2, An+An-2 n-1 <An…

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Q: x2 The quadric surfaces y = x² and 10z = 2x² + 2y² intersect in a curve. Parametrize this curve.…

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Q: As a raindrop falls, it evaporates while retaining its spherical shape. If we make the further…

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Q: 3. Define In(x) = f du. Fix x € (-1, 1). Use u-substitution to prove that (1+2). Hint: Use X [.—₁ -…

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Q: Evaluate JJJ (x + y - 42) dV where E E = {(x, y, z) | − 4 ≤ y ≤ 0, 0 ≤ x ≤ y, 0 < z < x + y²} .…

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Q: Let R= = 12 1/31 ( 152 ¹31) -5 be a reflection. Using only geometric arguments, find the eigenvalues…

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Q: Use Stokes' Theorem to find the circulation of -> F = 3yi + 2zj + 2xk around the boundary of the…

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Q: The balance in a bank account is given by the formula B=120x1.02t. Here B is the balance in dollars…

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Q: 29. 4.38 ft 2m 3.74 ft

A: Solution:-

Q: Find the laplace transform of the following. 1-) f(t) 3 3U(+) + = 2.) fl+] 3.) h(t) = + 8(+-2) +…

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Q: Use the parametric equations of an ellipse x = 4 cos 0 y = 13 sin 0 0≤0 ≤2T to find the area that it…

A: Given x = 4 cos θy = 13 sin θ0 ≤ θ ≤ 2π

Q: Find all complex numbers z such that 2²=-12+16i, and give your answer in the form a+bi. Use the…

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Q: ) Consider the function f(x) = x − 3 ln(x), The absolute maximum value is DNE and this occurs at x…

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Q: Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is…

A: The given problem is to find the values of Fourier coefficients an and bn  at n=1,2,3 for the given…

Q: Eliminate the parameter to find the cartesian equation of the curve: The equation of the curve is:…

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Q: I. Solve the following integrals: 1. (x²Inx+ sin ¹2x + sec³x)dx

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Q: Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity…

A: The polynomial f(x) has a zero at 3 of multiplicity 1,and a zero at 1 of multiplicity 2. Let g(x) be…

Q: Calculate the integral approximation Se for L've de.

A: Solution :- Integral approximation S6 is given by :-(For S6 , n = 6)S6 = ∫124x-2dx

Q: Calculate the integral approximations Té and M for (In x)² dx. Your answers must be accurate to 8…

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Q: 3. y (8) -y (7-11y d^y d³y dx 8 4. 32- +12y (5) + 36y (4) — 48y''' — 16y '' + 64y ' — 64y = + 256y=0…

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Q: what are/is exmple(s) of a tree whose removal of leaves forms a non-caterpillar tree

A: Please find the detailed example in next step.

Q: If the price of a product is given by P(x) = OA. -138 B. -16 OC. 138 OD. 16 1024 X +2,300, where x…

A: Here the price function is given as     P(x) = 1024/x + 2300 where x represents the demand.

Q: So F(x, y, z) = xi+yj + 6(x² + y²)k and C is the boundary of the part of the paraboloid where z = 81…

A: Using Stokes’ Theorem to evaluate ∫CF. dr where Fx, y, z=xi+yj+6x2+y2k and C is the boundary of the…

Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

A: Since you have posted a question with multiple sub ports, we will provide the solution only to the…

Q: у соз=1 t у" -дув +2y =130 све у '%) =3

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Q: Q-3: a) For all integers a, b, c, d, determine whether each of the following is TRUE or FALSE,…

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Q: - - Compute the flux of the vector field = 27 – 3j - 4 k through the rectangular region shown below,…

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Q: 0 (1) 3 -1 -5 -1 Solve Az = 0 and hence deduce its rank using the Rank-Nullity Theorem. =) Define A…

A: As the questions are interrelated to each other, they are treated as different questions. If…

Q: Eliminate the parameter to find the cartesian equation of the curve: The equation of the curve is: x…

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Q: Consider the following Assignment Model below. After applying the row reduction and then the column…

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Q: Let F = (3z + 3x²) ¿+ (6y + 4z + 4 sin(y²)) 3+ (3x + 4y + 6e²²) k (a) Find curl F. curl F - (b) What…

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Q: Consider the family of functions of the form y = x lnx-x+ (Ink)x, where x>0 and k is a positive…

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Q: Prove that Σ k=1 log k kp p> 1 converges.

A: The integral test says if ∫1∞fxdx converges then ∑k=1∞ak converges, where fx=ax. Now, given ∑k=1∞log…

Q: Find a polynomial function f(x) with real coefficients that has the given zeros. (There are many…

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: 4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the following…

A: (a)Dijkstra's used to find the shortest distance path between any two vertices of the graph. This…

Q: 38. A drafting student is using an 8-inch 45 °-45°-90° triangle to construct a drawing. She would…

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