4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 +4 cost, t), 0≤t≤ 2n? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.

Q: 3.31. The BUP y" = 4 [y-x), OLXLI, y (0)=0, y1=2 has the solution y(x) = e² (c²4_1) ~² (p²x_p-²x) +…

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Q: 3.3 The BVP y" = 4(y-2), 0≤1≤1. y(0)=0, y(1) = 2 has the solution y(x) = e²(e-1)-¹(e²-2)+1. Use the…

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Q: cermine if logical notation is tautology, contradiction, or contingency a. (pVq)A (pr)^(q→r) → r b.…

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Q: In Exercises 7-18, solve the given system of linear equations. 13. x + 2y = -3 z=0 x + 3y2z=-2

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Q: Determine if logical notation is tautology, contradiction, or contingency a. (pVq)^(pr)^(q →r) → r…

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Q: Problem 10.6_2 Use Cauchy's integral formula to evaluate the following integral. $₁21-1 -dz sino (z)…

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Q: m = b If a = OA and b OB, prove that OP P = n na +mb m+n B

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Q: Question 2 2.4. Approximate the intergaul Simpson's rule with f ẻ sin xóa n = 3

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A: Given: A=122379-3-27 and the cryptogram 3  29  80   -37  3  175  -5  6  42  -4  9  47  -21  -9  65…

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Q: Suppose (X, d) is a metric space and E a non-empty subset of X. Prove that E is disconnected if and…

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Q: Let D, = (r,f\r* = e = f², rf = fr¯!). Verify that 6 * [3 * (r, 0), (f, 0), 3 * (r, 0), (e, 1)] is a…

A: Given,           D4=r, f | r4=e=f2, rf=fr-1. To prove that         6*3*r, 0, f, 0, 3*r, 0, e, 1,  is…

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Q: 6 5 4 3 لیا 2 1 lim z+3+ I lim 1 0 1 ¦ y = f(x) h→0 I 1 Enter each answer as a whole number or a…

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Q: QUESTION 2 Define a relation on Nx N as follows: (a, b) R (c,d) a+d=b+c (2.1) Is (3,6) R (3,5)?…

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Q: 2. Find the differential equation representing ellipses and hyperbolas with axes on the coordinate…

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Q: Show that ~p-->(q-->r) and q-->(pVr) are logically equivalent by completing the table below: p F F F…

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Q: Consider applying the Muller’s method to find the roots of the equation x^3 − x − 1 = 0. (a) How…

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Q: 4. Does 3 divide (3k + 1)(3k + 2)(3k + 3)?

A: We will show by induction, put the value of k = 0 we find, (3x0+1)(3x0+2)(3x0+3) = 6  Which is…