Find the vectors T, N, and B at the given point. r(t) = (8 cos(t), 8 sin(t), 8 In(cos(t))), (8,0,0) T = (0,1,0) N = B = (-12,0,12) (-12,0, 12)|| X X

Q: Determine whether f(t) is at least piecewise continuous in the interval [0, 10]. 1, 0≤t <1 f(t)=…

A:

Q: y = 1, perpend From the centre C of the hyperbola 16 9 CN is drawn on any tangent to it at the point…

A:

Q: 5. Prove that |xy| = |x|-|y| for x, y eR.

A:

Q: What is the L-1 O sinh 9t s sin 9t O 27 sinh 9t O3 sinh 9t { 3 s²-81 K

A:

Q: 7. Sketch a slope field for the following differential equation and sketch some solution curves.…

A: The given differential equation is dydx=x(2-y). To Sketch: slope fields and solution curves. (a) To…

Q: Let f be the function shown in the figure. IN 3 2 - + 2 3 4 Identify the graph of y = f(-x).

A: The graph of f is given we find graph of f(-x) and -f(-x).

Q: 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 26 25 24 23 22 64 32 16 8 4

A: By applying table(1111111111)2=1023 Binary to decimal =1023

Q: PROBLEM 2.2 Solve the system of ODEs for t = [0,50] with I.C.: x(0) = -8, y(0) = 8,z(0) = 27. x' (t)…

A:

Q: Proposition 2.31 (Properties of Local Homeomorphisms). (a) Every homeomorphism is a local…

A:

Q: Determine f(x) a. f(x) = 4 sin² (x - 2) b. f(x) = 2(cos x)(sec² x)

A: (a) The given function is f(x)=4sin2x-2 Find the first derivative…

Q: Solve the given initial-value +² dy dx problem. The DE is a Bernoulli equation. 2/1/2 - -2xy = 5yª,…

A:

Q: 2. Find the perimeter and area of a conic whose minor and major segments are equal to 10 and 24…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: The equation x'=Ax+b, where A and b (see picture) represents the plane's euclidean reflection.…

A: Given that x'=Ax + b, be a Euclidean reflection of a plane, where , A=15-3443 and b=2521 We need to…

Q: 22) 6x² - 126 = x 14 91 A) B) C) D) 3 2 -1 + √505 -1- √505 2 2 11+√89 11-√√√89 2 2 -11-√249 -11 +…

A:

Q: The expression O a-b a + b O a³-b³ a³ + b³ O a² + b² ab 0 % + b/10 a a² - 64 a³b + b³ a b O (1-2) (1…

A: We have to use algebraic identities to solve the question.

Q: Given: model of real life phenomenon in physics using rational functions. To find:- complete given…

A:

Q: ii) Simpson's Rule with n = 2, gives √2².5 3x dx The error in this approximation is

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+...+yn-1)+2(y2+y4+...+yn-2)+yn), where h=b-aN and N is the…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: Find the equations of the normals to the circle x² + y²-8x-2y + 12 = 0 at the points whose ordinate…

A:

Q: What is the smallest number of colors you need to properly color the vertices of K4,5? That is, find…

A:

Q: y" - 5y + y = 0 y (0) = 1; y' (0) = 0

A:

Q: Annual high temperatures in a certain location have been tracked for several years. Let X represent…

A: Given, x y 2 19.06 3 21.54 4 23.52 5 25.3 6 27.18 7 32.16 8 32.84 9 34.42 10…

Q: First, Gabrielle with a scale fac translates the c translation Gab fractions.

A: Here, in the question, it is to be discussed about Gabrielle dilates circle V about its center with…

Q: ABCD is a square with side s. Three similar circles is inscribed in it with ED and FD is the common…

A: We use the Pythagorean theorem to find the length of the tangent from the common point to each of…

Q: III. Determine whether the following arguments are valid or not. 1. "If one is a dangpeu then one is…

A: Solution: 1. If one is a dangpeu then one is also a hwipeus.      So, dangpeu --&gt; hwipeus…

Q: Given the piece-wise equation of 0<x<3 f(x) = { 5x=10; 3<x< 5 Graph the following extension of the…

A: Sol:- Given equation:- fx=2x-10&lt;x&lt;35x-103&lt;x&lt;5

Q: Given the infinite geometric series: 8-3.2 +1.28-0.512 +... a) What is the common ratio, r? b)…

A:

Q: Without solving the differential equation, determine the maximum interval of solution existence of…

A:

Q: cosx, 0<x< π x <0, x= 2) Find Fourier transform of ƒ (x)= π j² dy = 7/22 ¡y sin(ny) 1-y² 2 0 hen…

A: Here, in the question we have to find the fourier transform by the expansion and theorem of Heavside…

Q: View an example 20 E C Read the solution from the result. x₁ = ₁x₂ = ₁ x3 =₁ $₁=₁ $₂ = [ X3…

A:

Q: 5. What are the eigenvalues and eigenvectors for the matrix: V 8-(02) H= = V E2

A:

Q: Theorem 3.2.1 If the sequence {an}, n ≥ 1 is subadditive, then there exists a constant y such that…

A: If the sequence an, n≥1 is subadditive, then there exits a constant γ such that limn→∞ann=γ. We have…

Q: RATIC 3.36 If the line 3x+4y= √7 touches the ellipse 3x² + 4y² = 1, then find the point of contact.

A:

Q: y = C1 cos 3x + c2 sin 3x => y" + 9y = 9

A:

Q: is x^3 + 1 irreducible over Z_3?

A: We will check whether x^3+1  is irreducible over Z_3 or not.

Q: Jump to level 1 Simplify (s^(mv-s)) to ¬sv-m 1. Select a law from the right to apply -(SA(mv-s))…

A:

Q: 919/29/29/p 919 9 ~ p ~91~9 ~ p29v9 IT TTF FIT TFF T F FT TE ㅜ FITT t FF # T F T 774 T T F ㅜ T f T T…

A: The logical symbol "∨" is used to denote "OR". The logical symbol "∧" is used to denote "AND". The…

Q: 12. 15+6²3 = O A. 214 OB. 100 O C. 100 4 O D. 234

A:

Q: (a) For any set SR", what is the closure cl(S) of S? (b) Let n € R", r ER, and set S = H₂" := {x €…

A:

Q: Directions: In each of the following problems, assume a, b, c and d are arbitrary constants,…

A:

Q: How did E(XY) = E(X)E(Y) if it is not stated that they are independent

A: As per the question we have to show that for uncorrelated random variables X, Y the following…

Q: For each table, give a logical expression whose truth table is the same as the one given. (a) pq?…

A: Given: The below table: p q   T T F T F T F T F F F F To find: The expression whose…

Q: Find the locus of the centers of the circles x² + y²-2ax-2by- +2=0, where a and b are parameters, if…

A:

Q: soe the following himon xysteam wing LOU decomposition using elementmy matutes. so your comptable…

A:

Q: Find the least-squares solution of the system [1-1 -1 X 1 1 || 1 1 -1 1 1 X = 18 -2

A:

Q: Q3/ The equilateral lamina A B C is pieced perpendicular to the V. P and having the following data…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: solution is guaranteed. (b) = 2r²y²; y(1) = 1. = xln(y); y(1) = 1. =I 1; y(0) = 1. dy

A:

Q: Determine whether or not the sentence is a statement. There are five notes in a major scale. Is the…

A:

Q: Use the fact that 4 cos2(2π/5) + 2 cos(2π/5) -1 = 0 to prove thata regular pentagon is…

A: Given : 4cos22π/5+2cos2π/5-1=0 To prove: Regular pentagon is constructible .