7) Graph the function: y = 4 cos 0 – 1 without the assistance of technology. Free Simple Grid Graph Paper Trom nip:/incompetech.com/graphpaperie

Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <: sos

A: See the attachment

Q: ぶd Use he Sinen graph below to fex)dx by using seomedic areas.

A: Given: The graph of function as To find: ∫08fxdx by using geometric areas.

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A:

Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <- 4

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Q: 1- Find all of the points where the curve r = 2 cos (-) intersects the circle of 3, radius v2…

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Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: 2. Find points P and Q on the parabola y = 1 - x² so that the triangle ABC formed by the r-axis and…

A:

Q: 4. Write down the name of the curves and shade the region that is inside of r = 2 + 2 sine and…

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Q: find equation of cosecant

A: The general form of cosecant equation,

Q: Sketch the solid described by the given inequalities: 0&lt;=r&lt;=2, -pi/2&lt;=theta&lt;=pi/2,…

A: First draw the first two inequality 0&lt;= r &lt;=2 and –pi/2&lt;= theta &lt;= pi/2 in the…

Q: 2. Explore the asteroid given by the parameterization (CoS 7, Sin 7). Sketch its graph, determine…

A: Given :-  The asteroid given by the parameterization cos3 t , sin3 t . To Determine :-  Its graph ,…

Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

A:

Q: Find the cartesian equation of the curve x = 2 sin (2t) and y = 3sin (t). Graph.

A: To find the Cartesian equation of the given curve.

Q: 1. If f(x) = 3x2/3 - 10, find the arc length of the graph from the point A(8,2) to B(27,17).

A: Note:  We'll answer the first question. Since the exact one hasn't mentioned. Please re-submit the…

Q: 1. Find a cartesian equation for the curve r² sin 20 = 8.

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Q: (2) Find tume area of reason borunded by the graphs of tue equations d-**, the M = I, x=3,and Pound…

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Q: a²z a2z If z = arctan (2), find ду?

A: It is given that z=arctanyx z=tan-1yx

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Q: 7- Find the leng thof the Curve arce 34 from to y=4

A:

Q: 9. Show that the curve with parametric equations x = sin t and y = sin(t + sin t) for 0st s 2n has…

A: Given that the curve with parametric equations are x=sint,y=sint+sint. First find the slope that is…

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Q: 1. Find the arclength of y= (4 -x3,3/2 from x = 1 to x = 8.

A: The arclength of given equation

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A: Given, y=sin1x2 Differentiate the given function with respect to x we get, dydx=cosx212 At point…

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A: To find the equation of tangent line.

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A: The parametric equation of the circle having center at a,b and radius r is: x=a+r costy=b+r sint…

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A:

Q: 4) Determine the equation for the shortest arc that passes through the point (0, 0) and (1, 0) and…

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Q: The curves with equations x  =a sin nt , y = b cos t are called Lissajous figures. Investigate how…

A: Given, Lissajous figures x = a sin(nt) and y = b cos(t) We have to investigate how the curve varies…

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A: Let's find arc length of given curve in first quadrant.

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A: Since, we have to find the length of the curve over the given intervalr=2a cosθ over the interval…

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Q: 28, Find the equa tion of arcle with Centre c(2;3) and touches the x-axis.

A: By using equation of circle formula, we find the required equation of circle.

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A: x=sin12θ,  y=cos12θ

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Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: Find the curva tuie For He Curve 2+); +(6 cos 2t) + 5¢ K %3D

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Q: Find the cosine of the angle between the curves (cost, -sin(t)/5, sint) and (cos(nt/3), sin(nt/3),…

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Q: find the length of the arc of the curve from point k(8,8) to m( 1,5) X^2/3 -y = -4

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Q: 2 [arc cos ( Incs-2) fdz ( Incs-z>) ] dz

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.