Problem 5 Let D be the region in the ay-plane where * + y < 2r, * + y* < 1 y 20 and and For any function f(r, y), set up the computation of S SosdA in both rect- angular and polar coordinates.
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A: Hi! You have posted multiple questions. As per the norm, we will be answering only the first one. If…
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A: Since you have posted multiple question we are supposed to be answer only first one... kindly repost…
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Q: Problem 1: Find the dx? of the given parametric functions: x = e", y = tet
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Q: QUESTION 2: Find equations of the Normal plane and Osculating plane of the y = 2t , x = 2 sin 3t , z…
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A: We have to find
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Q: Problem #4: Evaluate the following integral, xyz dS, where S is the surface with parametric…
A: We will find out the required value.
Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…
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Q: Problem 8.2. Each part of this problem contains a double integral. In each case, you should first…
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Q: Example 7 Sketch the curves (c) r 0 (0 > 0) in polar coordinates.
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- 2. Chapter 15 Review 33: Use polar coordinates to calculate sD√x2 + y2dA where D is the region inthe first quadrant bounded by the spiral r = θ, the circle r = 1, and the x-axis.If I have a pair of parametric equations x=20cos(t) and y=10sin(t) How can I increase the speed of the particle moving in these path x2/400 + y2/100=14. Find the exact length of the polar curve r = e2θ, 0 ≤ θ ≤ 2π.
- Consider the graph ofr(t) = 2t^2i + t^2j + t^3 kDetermine parametric equations of the tangent line to the curve at the point where the curve intersects the planex − 2y − z = 8.22-Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the table value in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption). a) 4 B) 3 NS) 6 D) 7 TO) 5Suppose that U is a solution to the Laplace equation in the disk Ω = {r ≤ 1} andthat U(1, θ) = 5 − sin^2(θ).(i) Without finding the solution to the equation, compute the value of U at theorigin – i.e. at r = 0.(ii) Without finding the solution to the equation, determine the location of themaxima and minima of U in Ω.(Hint: sin^2(θ) =(1−cos^2(θ))/2.)
- Determine the total distance covered from t = 1 to t = 3 from the given parametric equations: x = t^3, y=2t-1, z = 4t^2A. Sketch the two curves: 1.r1=3cos#. 2. r2=1+cosf.The parametric equation for the line passing through P(1,1,5) and parallel to n=(0,0,1) is defined as a, x = 1, y = 1, z = -5 + t b. x = 1, y = 1, z = 5 + t c. x = 1, y = -1, z = 5 + t d. x = 1, y = 1, z = 5 - t