Find the arc length of the curve below on the given interval. y= (x3/3) + (1/4x) on [1,3] The length of the curve is _

Q: Find the value of k so that the following curves y=(x^4)/k and y=-3x^3-2x^2 intersect at more than…

A: To find the value of k such that the curves y=kx4​ and y=−3x3−2x2 intersect at more than two points,…

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find the x-value of all points on the curve y = x³ + 4x + 5 where the tangent line is parallel to…

A:

Q: Find the y-intercept of the tangent line to the curve y =x at the point (2,8).

A: We have given, The curve y = x3 and the point (2, 8).

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the loop of the curve y²=x^4(4+x)

A: The given curve is: y^2 = x^4 . (4 + x) Clearly the graph of the curve passes through (0, 0).

Q: Find the points on the curve where tangents to the curve 2-2³-4y+8=0 pass through (1, 2).

A: Equation of the curve : y2-2x3-4y+8=0 The tangent passes through 1,2

Q: Find all points on the curv of the tangent line is -1.

A:

Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

A:

Q: Consider y = x2+3 /3e4x^2. Find the value of x at which this curve has a stationary point

A: Consider the given function.