Show that for Unl Un2 Omax = arctan(, arctan( Un2 Un2 Where .2 V1 = n and t represent normal and tangential components respectively

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A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get ...

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A: We will use the basic knowledge of polynomials and the elementary theory of the congruence modulo pr...

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Q: Consider matrix A below. Find all real number values of c for which A is diagonalizable. 0 1 c A = 0...

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Q: ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

A: This question is related to topic series of real analysis. Solution is given below

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A: Introduction: From a set of n distinct object, r distinct object can be selected following no repeti...

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Q: f evaluating functio

A: Given as, sin1049+1.2 To evaluate the given functions.

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Q: 1 sin ax = S(D) S(-D) sin ax f(ai)f (– ai) 40. f(ai) f(-ai) # 0.

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Q: Prove that 3 and 1+v-5 are relatively prime in Q(V-5), but that there exist no integers A, µ E Q(v-5...

A: We will use the basic knowledge of ring theory and UFDs to answer this question properly, in detail.

Q: Given the the parametric curve x(t) = t°e5t ly(t) = cos(13t) dy (a) Find an expression for dy (b) Fi...

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Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

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Q: 1. Which of the following sentences are propositions? For those indicate the truth value. a. 123 is ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 7. (D² + D²)z = a²y²

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Q: A stall owner sells two types of durians: ordinary durian and premium durian, priced at $20/kg and $...

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Q: 1. The formula for a lincar transformation T is given below. Determine if the transfor- mation is on...

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A:   Given code is procedure choose (a,b: integers) x:= either a or b

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 63 - 7y and the plane x+ ...

A: The Volume of the solid , V=∫x1x2∫y1y2∫z1z2  f(x,y,z) dz dy dx

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Q: d waves uniformly in all directions. At a distance of 15.0 m the intensity of the sound is 0.250 W

A: Given as, Distance= 15.0 m, intensity of the sound= 0.250 W/m2.

Q: 2. Let V be the (real) vector space of all functions f from R into R. Which of the following sets of...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

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Q: Prove that J,(x) is the coefficient of z" in the expansion of e2" 2)

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Q: Suppose that a b C d f = 2. e h i Compute 3g — а Зh — ь зі — с 2c + f C - 2a + d 2b + e a b C

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Q: We defined the relation between sets by A - B means that there there is a 1-1 correspondence f : A →...

A: The complete solutions is in given below