Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (3t cos t)i + (3t sin t)j + (2√/2)₁³/²k Ostst

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A: please find the attached solution

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A: please find the attached solution

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A: please find the attached answer

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A: Suppose a,b,c∈ℤ and n∈ℕ and assume that a≡bmod n and b≡cmod nTo Prove: a≡cmod n

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Q: Let A = 61 22 3X=4A + 3B and B = 7 -8-5 1 . Find a matrix X satisfying the given equation. X=…

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A: Note- Given that All function are bijective.

Q: = Solve the matrix equation AX = B for X. 14 -4 B= A = [-36 ]-8-[-22] 18 X=

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Q: 2.22 Verify the Vizing's Conjecture for G=K, K, and T = P₁

A: Please find the attached solution

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Q: (b) Let T: R³-R¹, T(v)=(v, w) w; +(v,w₂)w, where w; = (1,-1,0) and w₂ = (0,-2,1). (i) Find the…

A: It is given that,  T : ℝ3→ℝ3 be the linear transformation defined by ; Tv = v, w1w1 + v, w2w2…

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Q: Determine which Simpson's rule you are going to use and solve for the vehicle's displacement in the…

A: v0 v1 v2 v3 v4 v5 v6 Time 0 5 10 15 20 25 30 Velocity 25 28 32 30 29 26 23 h = 30 - 06 = 5…

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A: Given,       y''+3y'=δt-1,  y(0)=0, y'(0)=1.

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Q: If line k in the XY-plane has equation y = mx + b, and is parallel to the line y-x=b+1-mx, where m…

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Q: 12. If X₁, X₂,...,X, are independent variables such that E[X]=μ and Var (X)=0², i=1,2,..., n. Define…

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Q: Solve the matrix equation AX = B for X. 1-2-3 HH - 1 4 6 B= 6 1 -1 -2 A = 3 7

A: First convert given system of equation in augmented matrix then solve by Gaussian Elimination…

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Q: 3 Look at the boxed result on page 417. Now determine which of the following improper integrals…

A: It is already known that: ∫1∞kxndx : converges if n>1. diverges if n≤1. Here, k, n are…

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Q: Part a) Rewrite by peeling off the first term and the last two terms. n+1 k (k+1)! Part b) Rewrite…

A: Given that, ∑k=1n+1k(k+1)!   Consider the first term and last two terms in expansion as follows:…

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Q: Knowing that S+x x² e ²² dx. +∞ +∞ Se-¹² dx = √√2π, find x2 е

A: Given:  ∫-∞∞e-x22dx=2πTo find: ∫-∞∞x2e-x22dx

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Q: Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her…

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Q: b) Let c) find the solution set of 670 s.t. b I show that Lib(x) = log bx is one to one. ( 1½/2 ) *…

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Q: If G is a group and H is a subgroup of index 2 in G show that H is a normal subgroup of G.

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Q: sin x dy dx dy +ycosx + 2xe³ − 3x² = (1 − x²e³) - - dx

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Q: 9. If X and Y are two random variables and let g(X) be a random variable. Show that (a) E[g(X) X=x]…

A: please find the attached answer

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A: Let f be the fraction of the income earned by the top 5% of population. Thus, ∫0fx7dx=5% Integrate…

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Q: Q7. For Theorems below give an example tree T with 15 vertices. Theorem 1. If a tree T is a wounded…

A: Please find the attached answer

Q: 2) Consider the DE: (2xy - 6x²)dx + (x² +9)dy = 0 A) Determine whether the DE is exact or not, then…

A: as per Q&A rules we have to answer only one question, when there are more than one different…

Q: 3. If the eigenvalues of A are 5 and -1, with multiplicities 2 and 3, respectively, find the…

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Q: e 6 Consider the integral dx with n = 4. X 1 a. Find the trapezoid rule approximations to the…

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Q: Which ONE of the following is FALSE? O Provided that the number of rectangles are allowed to tend to…

A: We have to show which is false.