Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the x-axis, and the line tangent to the circle x2 + y2=25 at (3,4).

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

Q: find the center and radius of the circle x^2 + y^3 - 2x + 6y - 7=0

A: The given equation of the circle is x2+y2-2x+6y-7=0.

Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

Q: Consider the area bounded by the curves y = 4x³ - x² - 14x and y = x²+2x. Where do the curves…

A: Step 1:Step 2:I hope it is clear if there is any doubt, please ask in clarification section.

Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: LL' is the latus rectum of the parabola y a double ordinate drawn between the v rectum. Show that…

A:

Q: over the triangular region Cut from the * quadrant by the line x+y =1.

A:

Q: y = 9 - x² and y = x + 3 is 125 6 square units

A:

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

A:

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…