Which of the following curves are symmetric about X-axis? Or Y-axis? Or origin? `y^2 = x^3 + 3x^2 +1`.

Is the parabola y^2=4x symmetrical about x-axis?

Find the points on the following curve at which the tangents are parallel to x-axis. y = x^3 - 3x^2 - 9x+7 .

Apply Rolle's theorem to find oint (or points) on the following curves where the tangent is parallel to x -axis. y = 16 - x^2 , x in [-1,1]

At what points on the following curve, is the tangent parallel to x-axis? y = x^2 on [-2,2]

Find the equation of the parabola which is symmetric about y-axis and passes through the point (2,-3) .

At what points on the following curve, is the tangent parallel to x-axis? y = cos x - 1 on [0,2pi]

Fill in the blanks The area of the region bounded by the curve x= y^2 , y-axis and the lines y = 3, y = 4 is…….. .

The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve intersects the y-axis , passes through the point : (1) (1/2,-1/3) (2) (1/2,1/3) (3) (-1/2,-1/2) (4) (1/2,1/2)

Find the area of the region bounded by the curve y^2 = 4x , y-axis and y = 3

What are the inclination to the X - axis and intercept on Y - axis of the line 3y =sqrt(3)x+6 ?