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Q: Find the moving trihedral of the curve R(t) = (e^t)sin(t)i − (e^t)cos(t)j + (e^t)k at any t in the…

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Q: 2.88x²0.5x + 5 = 0

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Q: (c) Find the slope of the objective function. Slope = (d) What are the values of x and y that give…

A: given objective function fx,y=30x+42y (c) slope of the objective function it is known that function…

Q: 2. Find the inverse of A = 1 1 1 1 2 -1 3 1 -1 2 3 H2H2 1 using Gauss-Jordan method.

A: The solution is given as

Q: please could someone solve this for x -415000 =8.314* 1073* ln x

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Q: Village C (he is at Village A): A → Bk → C for k Marvin is deciding a path from three (3) routes to…

A: Solution : Conditional probability: probability of A given that B already happened. P(AB)=P(A∩B)P(B)…

Q: Show that the map t: V₂(R) → V3(R) defined by t(a, b) = (a + b, a - b, b) is a linear…

A: We have given a map , t : V2R → V3R  defined by ,  ta ,  b = a + b , a - b , b We need to show that…

Q: Let L()= (x-1)y"-xy² + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let’s denote population of bacteria at any time t by x(t) . let x’(t)= k x(t). Where k is constant.…

Q: 3. Use Laplace Transform to solve the initial value problem. y" 6y + 5y=0; y(0) = 1 and y'(0) = -3 -

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Q: In the diagram below, T≈ ZW, LUX. Enter segments in the blanks provided that would result in a true…

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Q: Let S be the surface with equation 4y² + 4z²x² - 16 = 0. 1. Find an equation of the trace of S on…

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Q: (1) TWO of the following are solutions to the Laplace equation Uzz + y = 0 (Select Two Answers): (A)…

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Q: d. Find an equation (in point-normal form) of the plane containing the points K, M and N Let R be…

A: This is a question from analytical geometry, 3D geometry, and vector algebra.

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

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Q: The consumption function of a certain nation (in billions) is 9 1 given by C(1) = 5 +7+√7³. The…

A: Solution:-

Q: nonhomogeneous system tY' = 2-2 Y + -2t (₁-²₁).

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Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 -3 4 0 -71 A-2 1-1 4 6 010-3 -5 3. SOLVE THE SYSTEM…

A: A=7-340-721-146010-3-5 WE HAVE TO FIND LU FACTORIZATION.

Q: Area of the Surface obtained by rotating the curve about the x- 0 ≤ x ≤ 1

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Q: Find the volume generated by revolving the area bounded by x². - 4x - 4y + 4 = 0 and y = 1 about the…

A: We will find point of intersection of curves and line to find region bounded , and then rotate it…

Q: can you please elaborate?

A: Solution

Q: y = −2x4 + 4ax³ - 5x² - 8x + 1

A: Solution:-

Q: Consider the polar curves C₁: r = 3 (blue) and C₂:r = 2 – 2sin0 (red) and let R be the shaded region…

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Q: S Question When proving the limit lim(x²-3x + 4) = 2, and e > 0 is given, what is an appropriate…

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Q: ) Show that |2x - 2|-|x+1| +2≥0 for every x € R.

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given,C1 : r =3C2 : r =2-2sinθand r > 0 , θ∈[ 0, 2π )

Q: Evaluate the following: 2 d. L-¹1- + S-3 3s-5 Th

A: Since  you have posted a multiple  question according to guildlines I will solve first  (d) question…

Q: What is the slope of this roof? Select the correct choice below and fill in any answer boxes within…

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Q: 13 GoGo Tokens are put on some squares of an 8 x 8 grid to make a pattern, such as the one shown in…

A: Given: A 8×8 grid with tokens in some rows and columns. A pattern of tokens in the grid is…

Q: Find the arc length of the curve below on the given interval. y= (x3/3) + (1/4x) on [1,3] The…

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

A: Follow the steps.

Q: 1. Find R(t) which is supposed to be a differentiable vector fund t > −1 with R′(t) = (1+' 1+²,1 +…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: Given the following function: f(x) = x+ sin(x) at TU Xo = using h = 0.1. 4 A. Use the…

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

Q: 5) ARTSY PHARTZY Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly…

A: Solution : Let f(x) ,g(x) are, f(x)=a1c1x    …(1) g(x)=a2c2x   …(2) Given, f(3)=151165.44…

Q: +∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1…

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Q: Solve the nonhomogeneous system ty' = 3-2 2 -2 Y + -2t ¹-1

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Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse x² 1² +…

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Q: Find R(t); suppose that it is a differentiable vector function for - 1 with R' (t) = 1²,1 + t²) and…

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Q: Let {fn} be a sequence of complex-valued continuous functions on CC. If {fn} converges uniformly to…

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Q: Consider the points K(−1, 0, 7) and M(1, −2, 5), the vector MN = , and the line L with symmetric…

A: We have to solve given problems:

Q: 9. Find the equation of the circle such that the endpoints of a diameter are (-2, 8) and (8,-6).

A: Since  you have posted a multiple  question according to guildlines I will solve first (Q9) question…

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2)…

A: Let X=x,y,z,t be the vector that is orthogonal to u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2) and w= (3,…

Q: COMPLEX ANALYSIS Evaluate € C₁ (0) 2³ cos (1/2) dz

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Q: het Ley) = y(4) + y (3) _ 7 y (2) _y (¹) al solve: Lys = 36t-24et > b) solve: hy)= 36t-24et 2.2t c)…

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Q: a) 2 B3] b) 001 010 101

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Q: - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8 Given x =

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Q: Given f(x) = -x³-7x² - 8x + 16 = (x+4) (4-3x-x2²). Find the (a) intervals on which f is decreasing…

A: Follow the steps.

Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

A: Solution :-