Find the determinant in a) and b) where га CT f il det d e 7 %3D Lg_h а b C а C] а) А- 15g d f 5h 5i] b) В %3 g h i e ld fl e

Q: Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether…

A: The parametric curve is r(t)=⟨1t+2, sin( sin( sin t)),e-t⟩. x(t)=1t+2, y(t)=sin( sin( sin t)),…

Q: 9. X f(x) 2 -2 6 1 9 8 10 -4 15 3 The function f is continuous on the closed interval [2, 15] and…

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Q: . Find solution of the initial value problem y" + 7y' +12y = 0, y(0) = 3, y'(0) = -1.

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Q: Which holds more? What is your prediction and why? Then, determine it mathematically. a. A regular…

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Q: 7. Compute Let a, b, and c be three vectors in the plane 3x – 5y + 6z -4b — 7c) (-3і + 5j — 6k).

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Q: 5. Use spherical coordinates to evaluate /16--2² Not √16¬x² / √x² +yª √x² + y² + z² dz dy dr.

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A: The given expression is an infinite summation, where the indexing variable "n" starts from 2 and…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

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Q: 2 Let m = R[x] be a polynomial with deg m≥ 1. Define a relation Sm on R[x] by the rule that (f,g) €…

A: An equivalence relation is a binary relation on a set that satisfies three properties: reflexivity,…

Q: While following a treasure map, you walk 50 m at an angle of 60° north of east, then 50 m at an…

A: We have given we walk 50m at an angle of 60∘ north of east, then 50m at angle of 30∘north of west.…

Q: Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1+x₂ ≤ 6 x12x2 ≤ 4 X1, X2…

A: Given Information:The Linear programming model is given as follows:Subject to the…

Q: x² dx (x − 1) (x² + 4x + 5) Si

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Q: ess the limit as a definite integral on the given interval. χρ (x)² + 5 lim Π-100 n | = 1 -Δx, [1,…

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Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: Let f = (4 5 6) and g = (1 9 8 4) (2 7 5) (36) be two permutations in S9. (a) Compute fogo f-¹, and…

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Q: Divide x-5²–7by x+2. Remember to state restrictions and a division statement at the end. [4 marks]

A: The problem is about simple polynomial division, so I used polynomial long division method to solve…

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

A: Concept: The limit derivative of the function f(x) at x=x0 f'(x0)=limh→0f(x0+h)-f(x0)h

Q: 1. When is the object at rest? Your ansiôier

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Q: ► In Exercises 13-18, use the inversion algorithm to find the in- verse of the matrix (if the…

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Q: Write the expression as the sum or difference of logarithms. 3 25 log5 (a²+b)2

A: Here I am attaching image so that you understand each and every step.

Q: Let C be the curve r(t) = (2t, t², ť /3). (a) Compute the Frenet frame for C. (b) Calculate the…

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Q: Please balance the following Trip Generation results. Zone Productions Attractions 1 75 750 2 225…

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Q: Identify the local maximum and local minimum of the function shown in the graph below. -6-5-4-3-2-1

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Q: se of M c) Find the set of solutions to the equation MX = [11]. Express the set of solutions in…

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Q: Prove lim(3x–10) =-4 using the ɛ, d definition of a limit. 2

A: Recall: ε -δ Definition :Let f be a function defined in a deleted neighbourhood of 'a' . Then a real…

Q: Use partial fraction decomposition to find the power series representation of f(x) = (x – 3)(x + 1)…

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