12 Answered Questions for the topic Curve
Coordinate geometry doubt
OABC is a rectangle where A lies on x-axis, C lies on y-axis and B lies on the curve x2/3 + y2/3 = a2/3 , O is the origin.Find the coordinates of B so that the area of OABC is maximum.
Extending Differentiation (Question)
A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary point and, by... more
Find the set of values for k?
Find the set of values for k for which the line y=2x−k meets the curve y=x2+kx−2 at two distinct points. I only know you have to use a discriminant. :/
Function for a cubic curve
Hi all, I wish to draw a cubic curve that has a Y intersact at 37, the downward slope and reach minimum point of 27.1, then upward slope and reach maximum point at 40.8, then finally downward... more
calculating area under curve
if you calculate the area under the curve f(x)=x2 from x=0 to x=5 using a left had rectangular approximation, a right hand approximation, and a midpoint rectangular approximation, in each case... more
Find the area under the standard normal curve which lies?
Find the area under the standard normal curve which lies a.) to the left of 0.47 b.) to the right of z=-0.06 c.) to the right of z=2.53 d.) to the left of z=-1.31 e.) between z= 0.72 and z=1.59 f.)... more
Find the equation of the tangent line to the curve x^2 + xy + y^2 = 3 at the point (1,1).
the might be the most confusing question for me, in my opinion.
Explain how to determine the slope of the tangent to the curve f(x)=5/(x^2+36) at x=0
12th grade advanced functions math
find the equation of the tangent line
Find the equation of the tangent line to the curve at the given point.\\ y=1+2x-x3, (1,2) y=
estimate the slope of the tangeant line to the curve at P(9,7)
The point P(9,7) lies on the curve y= √x +4. Let Q be the point (x,√x+4) if x is 9.1, the slope of PQ is 0.166206 if x= 9.01, the slope of PQ is 0.16662 if x= 8.9, the slope of PQ is... more
Find the curvature of the curve of intersection?
Find the curvature of the curve of intersection of the cylinder x^2+y^2=16 and the plane x+z=5 at (4, 0, 1).
Find the curvature of the curve?
Find the curvature of the curve r(t)=(t+1)i+2(t^2-1)j+(t-2)k. r'(t)=i+4tj+k sqrt(1^2+(4t)^2+1^2)=sqrt(2+16t^2) r''(t)=4j r'(t)xr''(t)=? Please show your work step by step from here to get the... more