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Show that the curve r=sinθtanθ (called a cissoid of Diocles) has the line x=1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 ⩽ x<1 . Use these facts to help sketch the cissoid.

Show that the curve r=sinθtanθ (called a cissoid of Diocles) has the line x=1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 ⩽ x<1 . Use these facts to help sketch the cissoid.

2022年5月18日

Find equations for the tangent and normal to the cissoid of Diocles y^2(2-x)=x^3 at (1,1). (FIGURE CAN'T COPY) | Numerade

Find equations for the tangent and normal to the cissoid of Diocles y^2(2-x)=x^3 at (1,1). (FIGURE CAN'T COPY) | Numerade

2020年5月12日

SOLVED: (a) Find parametric equations for the set of all points P as shown in the figure such taht | OP | = | AB |. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube.)(b) Use the geometric description of the curve to draw a rough sketch of the curve by hand. Check your work by using the parametric equations to graph the curve.

SOLVED: (a) Find parametric equations for the set of all points P as shown in the figure such taht | OP | = | AB |. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube.)(b) Use the geometric description of the curve to draw a rough sketch of the curve by hand. Check your work by using the parametric equations to graph the curve.

2021年6月30日

SOLVED: SCALCET9 3.5.030.Use implicit differentiation to find an equation of the tangent line to the curve at the given point:v2 (6 - x) = x^3 (2, âˆš2); (cissoid of Diocles)SCALCET9 3.4.022.Find the derivative of the function:G(z) = (1 - 6z)^2 âˆš(2z 1)G'(2)SCALCET9 3.4.036.Find the derivative of the function:U(y)U'(y)

SOLVED: SCALCET9 3.5.030.Use implicit differentiation to find an equation of the tangent line to the curve at the given point:v2 (6 - x) = x^3 (2, âˆš2); (cissoid of Diocles)SCALCET9 3.4.022.Find the derivative of the function:G(z) = (1 - 6z)^2 âˆš(2z 1)G'(2)SCALCET9 3.4.036.Find the derivative of the function:U(y)U'(y)

2021年10月30日

The cissoid of Diocles (from about 200 B.C.). Find equations for the tangent and normal to the cissoid of Diocles y^2(2-x)=x^3 at (1,1). | Numerade

The cissoid of Diocles (from about 200 B.C.). Find equations for the tangent and normal to the cissoid of Diocles y^2(2-x)=x^3 at (1,1). | Numerade

2020年5月23日

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Find the curvature of the cissoid y^2(2-x)=x^3 at the point (1,1) . See the figure. | Numerade

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