Cosine Ramp AN 60° 3 ft 7 ft j=-5 3.46 ft OUREN & ETS 30° Sine Ramp 4 ft j=5 45

Q: Write parametric equations to describe the curves traced by the following motions

A: The rectangular equation of the circle with center at 0, 0 and radius 2 is given as follows:…

Q: 2. Determine two different equations (one sine and one cosine) that represent the curve. Explain…

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Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

Q: Is w = zī harmonic ? if so find its conjugate.

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Q: r= 4/ 2-2cos theta. identify the directrix and vertex

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Q: Find the rectangular form of 3/2 et* i.e. the a + bi form.

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: In the question we have to find the component form of v.

Q: Find the directrix of the parabola r = 25/(10 + 10 cos θ)

A: The parabola r=2510+10cosθ, we have to find the directrix of this given parabola.

Q: Write the rectangular equation by eliminating the parameter x=8cos(theta) y=8sin(theta)

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Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: Find the volume of the portion of the ball z² + y² + 2² ≤ 2 that lies above the cone z = √x² + y².…

A: The solution of step 1 is.

Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express θ in radians.

A: Rectangular corrdinates = x,y = 0,-4Let, the polar coordinates be = r,θFormula for calculating r and…

Q: What are angular coordinates?

A: We have to define angular coordinates. Angular coordinate is the measure of angle from the polar…

Q: x(t) = t² + 2t – 3 %3D y(t) = t² + 2t – 30 What is the length of the segment of the curve between t…

A: Given parametric curve is xt=t2+2t−3 and yt=t2+2t−30. We have to find the length of the segment of…

Q: Determine only the x coordinate of the new point after a rotation of 72° about (0, 0) from the point…

A: Follow the procedure given below.

Q: Find the angle 8 between the vectors in radians and in degrees. u = cos · cos(™)i + sin(π)j, v =…

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Q: I. II. III. IV. y² = t² - 2t and x = t + 2 is Ellipse Circle Parabola Hyperbola

A: Topic = Coordinate geometry Correct Option = IV

Q: Find the maximum of the product of the sines of the three angles of a triangle, and show  that the…

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