4) The lemniscate curve (x2 + y² )² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted that it is "shaped like a figure 8, or a knot, or the bow of a ribbon." Find the coordinates of the four points at which the tang line is horizontal. -1t FIGURE 9 Lemniscate curve: (x² + y²)² = 4(x² – y²).

Q: The graphs y=x³ Y 60 40 20- 20 -40 11x² +36x + 10 and y = 2x are shown in the figure. 0 2 E2 At how…

A:

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y =5 B) Find and tx sin 3z and y…

A: We use derivatives application to find minimize distance from a point to a line

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: (a+2) + (y-1)² = 4 Hint: Find the center and radius of your circle first. Then choose

A:

Q: Let UCR4 be a subspace with the following basis: Create an orthogonal basis of U. U Span < Create an…

A: Let  be a subspace with the following basis: .Create an orthogonal and orthonormal basis for .

Q: FinD the asymplehes of the Cerve +y) (x+24+2) = X+94-2. 2,

A:

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A:

Q: Find the points that touch the x axis of curve v=u2+pu+(n+1) where n=516. Also find the equation of…

A: