Let y: IR→ R be the parametrised curve Y(t) = (-2+cost, 1-sint, - cos t a) Show that y is unit speed. b) Find, at each point on the curve, the principal tangent T, principal normal N, binormal B, curvature, and torsion 7. Explain how the values of and r imply that the image of y is a circle. C 35

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A: Note:- For this problem, complete information is not mentioned but according to problem i assume…

Q: 5. The set P = {a + bi|0 ≤ a < 1,0 ≤ b ≤ 1}

A: (6) Closure P¯  of P is the smallest closed set containing P. Given, P=a+bi | 0≤a&lt;1 , 0≤b≤1

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A: To find- What letter or letters represent 2×3 ?

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A:

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A:

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A:

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A: Solution:

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A: We know that ,  Parabola is a curve where any point is at an equidistant from a fixed point and a…

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A:

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A: Note: We are entitled to solve the question with one method only. As the specified method is not…

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A:

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A:

Q: a/ The Value of 4 ===-1; f(0) integral Xex dx using Simpson's methhod 2 When is O 65.3690 O 20.5304…

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Q: olution of th + 4y =

A:

Q: 1. What is the result of the following arithmetic logic operation? 128.25+225.125 0101100001.011…

A: The result of the arithmetic logic operation is determined as shown below.

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A:

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A: Both are false. For counter example take A = {1, 2, 3, 4} and b = {1, 2, 3}.

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A: We have to solve given problems:

Q: Obtain the nth term of the pover series of In(1+x) for the power n= 5 and for a value of x = 0.80

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A:

Q: In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3…

A: The Inverse Laplace Transforms of the given functions are determined as shown below.

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A: We have to find the characteristic equation for matrix A. Then we can proceed further.

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A: We solve by eigenvalues and eigenvector method.

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A:

Q: Consider the following function. f(x) = x³ + 8 (a) Find the inverse function of f. f-1(x) =

A: C).option 3 is the correct answer  Graph of inverse of f is the reflection of f in the line y=x D.)…

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A:

Q: Draw the bodies with the direction markers and sketch several solution curves, including the curve…

A: We will find equilibrium solution and then direction of tangents to decide solution curve .

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A: I have given the answer in the next step. Hope you understand that

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A:

Q: Q5-Show if the following series are converging or diverge 1) En=1 η10 2) Σ=1 (33) 1 3) En=14 Σ=1 n

A:

Q: Solve the following system: x₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

A: We solve by eigenvalues and eigenvector method.

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A: Since you have posted a multiple question according to guildlines I will solve first question(Q4)…

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A: The estimate is used to∫02fxdx through left, right, Trapezoidal and Midpoint Rule approximations.…

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Q: determine if type of mortgage and home purchased are independent.  Justify your answer by showing…

A: Two event A and B will be independent if  PA∩B=PA×PB

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

A:

Q: Solve the following system : - x'₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) − 2 x', (t) = 2x₁ (t) + 2x2 (t)…

A:

Q: 6. Let f(r) be a function such that: |S(CD|SE-D | SED -1) | f'(-1) | ƒ"(-1) | f"(-1) | ƒ(¹) (-1)…

A:

Q: a) Use Excel Plot the function f(x)=2x-1.75x² +1.1x³ -0.25x* for x from -2 to 3 at a step size of…

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Q: Problem 14.2. Use the method of elimination to find the general solution of the linear systems x' =…

A: According to our guidelines we can answer only one question and rest can be reposted.

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A: Introduction: The ratio of given two numbers could be represented as a factor less than one always…

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Q: Exercise * F (x₁y₁ z) = (ay³ - 2 z)i + (2xy² + 4yz)j + (bx - cy²) K a) find a, b and c which makes…

A: (a) To find: Value of a,b, and c such that the vector filed F=ay3-2zi+2xy2+4yzj+(bx-cy2)k  is…

Q: 3Fn-Fn-2 = Fn+2

A: Now, for Fibonacci sequence Fn, we have: Fn=Fn-1+Fn-2 So,…