Q.18 A curve 'C'is defined as x= a cos³0, y = a sin°0 in [O, t/2]. What will be the point P on curve C where the tangent to the curve is parallel to the chord joining points (a, 0) & (0, a).

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Q: Given the parametric equations x = 2(8 – sin®) and y= 2(1 - cose). The slope of the tangent line to…

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Q: 12 of 17 > Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point…

A: We have to find equation of tangent plane for the given Curve.

Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

Q: O For y = Asin (x- C)] + D Identify with graph A. B, C and D for the sin function y = -2sin (;x -) +…

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Q: Find the Cartesian equation of r2 sin(20) = 1.

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Q: Find F. dr for given F and C. (a) (2,4). F = −y sin(x)i + cos(x)] and C is the parabola y = x²…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3メ+2) てx-ヌ)

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Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) =…

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

Q: 1. A city averages 14cm monthly precipitation in July 10cm in January. Assume that the monthly…

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Q: The curves 71(t) = (- 5t, t°, 3t*) and r2(t) = (sin(5t), sin(2t), t) intersect at the origin. Find…

A: Answer

Q: A curve is given parametrically by the equations x = 3t - 2 sint and y = 1² + t cos t Find the exact…

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Q: Prove that the curve y:(-,) → R³ is regular with factor H and determine whether the image y (t) = (2…

A: To determine : the      included in a plane in   or not. Here,…

Q: Find the length of the curve r= 1+ sin(20) Oses- /20

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Q: A curve C is given parametrically by x = cos(t) - 2 and y = sin(t) + 3, where 0 ≤t≤ 2π Find and…

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Q: 5. Find the equation of the line (in Cartesian coordinates) tangent to r = 1– sine at the point (5).

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Q: a. Explain why the curve ²e + y²e = 4 passes through the point (0, 2). b. Give the equation of the…

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Q: Create a table and ske the graph, and elimin

A: Here we have,  x=4cost, y=-3sint, 0≤t≤2π

Q: 17. Let foxys = exy. Find the equation for the tangent plane to the graph of f at the point (1.1).

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Q: 12. Determine an equation for the sinusoidal function shown: ✔✔✔ (-4x/3, 2) - دان LAT (580, 4)…

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Q: 2. -1- -729630 -540 --450 –-360 270 -130 -90 90 130 270 360 450 5 40 6 -1- --2 -3- -5- y = 3 sin(x +…

A: The mid-line is the point of reference. So to find the mid line we have to find the average between…

Q: 7. Use implicit differentiation to find two equations between x and y such that the tangent line to…

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Q: mZB А 60° C

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Q: Graph the Plane Curve defined by: I = 3 cos(t) - t + 5. y = sin(t). for t in [0, 37]. x Clear + Undo…

A: Plot the points for different values of t from [0,3π]. Draw the curve passing through the points.

Q: 1. The parametric equations for the astroid below are x = sin' (t), y =- cos (1) on 0<t < 2a. a)…

A: Given, the parametric equation for the astroid below are  First need to find the stating point on…