Is this true or false? The foci for the hyperbola ((x-2)^(2))/(36)-((y+1)^(2))/(64)=1 are (2, -1 +4\sqrt(7) and...

Is this true or false? The foci for the hyperbola ((x-2)^(2))/(36)-((y+1)^(2))/(64)=1 are (2, -1 +4\sqrt(7) and (2, -1 - 4\sqrt(7)

Expert Solution

milcah answered 2 years ago

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices,...

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = (smaller y-value) vertex (x, y) = (larger y-value) focus (x, y) = (smaller y-value) focus (x, y) = (larger y-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.

Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y-...

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Find dy/dx by implicit differentiation. 11. ycosx=x^2+y^2 13. sqrt(x+y)=x^4+y^4 15. tan(x/y)=x+y 17. sqrt(xy)=1+(x^2)*(y) 19. sin(xy) =...

Find dy/dx by implicit differentiation. 11. ycosx=x^2+y^2 13. sqrt(x+y)=x^4+y^4 15. tan(x/y)=x+y 17. sqrt(xy)=1+(x^2)*(y) 19. sin(xy) = cos(x+y)

Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one...

Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one vertex (1, −1). (b) Vertices (2, −1) and (2, 3), and asymptote x = 2y. Consider the set of points described by the equation 16x2 −4y2 −64x−24y+19=0. (a) Show that the given equation describes a hyperbola and find the center of the hyperbola. (b) Determine the equations of the directrices as well as the eccentricity.

((sqrtx)+1)dy/dx=(ysqrtx)/(x) + sqrt(y/x), y(2)=1

(a) Find the vertices, foci and asymptotes of the hyperbola and sketch its graph 9y^2 −...

(a) Find the vertices, foci and asymptotes of the hyperbola and sketch its graph 9y^2 − 4x^2 − 72y + 8x + 176 = 0. (b) Find the vertex, focus and directrix of the parabola and sketch its graph 6y^2 + x − 36y + 55 = 0.

1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci...

1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (-5,0) and (5,0); vertices at (1,0) and (-1,0). 2. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,-8) and (0,8); vertices at (0,2) and (0,-2).

Find the mass M of the solid in the shape of the region 4<=x^2+y^2+z^2<=49, sqrt[3(x^2+y^2)] <=...

Find the mass M of the solid in the shape of the region 4<=x^2+y^2+z^2<=49, sqrt[3(x^2+y^2)] <= z if the density at (x,y,z) is sqrt(x^2+y^2+z^2).

) Find the following integral by using cylindrical coordinates \int _0^4\int _{-\sqrt{16-y^2}}^{\sqrt{16-y^2}}\int _{-\sqrt{16-x^2-y^2}}^0\left(xy^2+6\right)\:dxdydz

evaluate the indefinite integral sqrt(4-x^2)

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